modeling and simulation of fcc risers...figure 4.6 gas phase mass rate vs. riser height 31 figure...

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Republic of Iraq Ministry of Higher Education and Scientific Research University of Technology Chemical Engineering Department MODELING AND SIMULATION OF FCC RISERS A RESEARCH SUBMITTED TO THE CHEMICAL ENGINEERING DEPARTMENT OF THE UNIVERSITY OF TECHNOLOGY IN THE PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF HIGHER DIPLOMA IN CHEMICAL ENGINEERING (PETROLEUM REFINING AND GAS TECHNOLOGY) By WALEED KHALID FADHIL B.Sc. in Chem. Eng. 1998 March 2012

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  • Republic of Iraq Ministry of Higher Education and Scientific Research University of Technology Chemical Engineering Department

    MODELING AND SIMULATION OF FCC RISERS

    A RESEARCH

    SUBMITTED TO THE CHEMICAL ENGINEERING DEPARTMENT OF THE UNIVERSITY OF TECHNOLOGY IN THE PARTIAL FULFILLMENT OF THE REQUIREMENTS

    FOR THE DEGREE OF

    HIGHER DIPLOMA IN CHEMICAL ENGINEERING

    (PETROLEUM REFINING AND GAS TECHNOLOGY)

    By WALEED KHALID FADHIL

    B.Sc. in Chem. Eng. 1998

    March 2012

  • بسم اهللا الرحمن الرحيم

    منه نتم ا أ ذنارا فإ ر خض ر األ الشج كم من ل ل ع ي ج ذال ۞ 80 یس ۞ وند وق ت

    صدق اهللا العظيم

  • Dedicated to

    My Family With My Deep Love

  • بالعامل المساعد ة الریاضیة لوحدة التكسیر المحفزالنمذج

    FCC riserبالعامل المساعد یاضي لمفاعل وحدة التكسیر المحفزیشتمل البحث على عمل نموذج ر

    التفاعل یكون بین اربع مكونات ان و Plug flow reactorاعتبار المفاعل مثالي على یعتمد البحث

    والفحم Gasolineوالبنزین Light gasesوالغازات الخفیفة VGO feedیة ذافتراضیة هي التغ

    Coke او ما یسمى بـFour lumps model .تم لوصف حركیة تفاعالت التكسیر خالل المفاعل

    العتماد على عالقة خطیة بین المحتوى احساب دالة فقدان الفعالیة للعامل المساعد خالل المفاعل ب

    تفعیل النموذج الریاضي كان ما یعادله من فعالیة متبقیة للعامل المساعد.الكاربوني للعامل المساعد و

    الحد المصافي العراقیة الجدیدة, UOPباستخدام الوحدة التجاریة للتكسیر بالعامل المساعد من تصمیم

    الریاضي قادر على ایجاد درجات حرارة الخلط عند كل من وعاء الخلط ذج.النمو واعطى نتائج مقاربة

    MxR chamber الضافة الى امكانیة عرض االداء الفیزیائي ومقدار ادخول المفاعل, بومنطقة بدایة

    في برنامج اكسل لحل معادالت worksheetانشاء تم االنتاجیة للمكونات على طول المفاعل.

    الریاضي والستخدامه كاداة جیدة لدراسة اداء الوحدة جراء اي تغییر یحصل في الضروف ذجالنمو

    شغیلیة للوحدة.الت

  • I

  • II

  • III

    ACKNOWLEDGMENTS

    First of all, thanks to Allah, who enabled me to achieve this research.

    I wish to express my sincere gratitude and thankfulness to my

    supervisor Dr. Shakir M. Ahmed for his kind supervision and continuous

    advices during the research.

    My grateful thanks to Prof. Dr. Mumtaz A. Zablouk, the Chairman of

    the Department of Chemical Engineering at the University of Technology

    for the provision of research facilities.

    Special thanks to Assist. Prof. Dr. Mohammed F. Abid for his help

    and support.

    I would like to express my sincere appreciation to Assis. Lec. Farooq

    A. Mehdi for his help. Also, my respectful regards to all the staff of

    Chemical Engineering Department of University of Technology.

    And finally my special thanks to my family for their support and

    encouragement.

  • IV

    ABSTRACT

    In the present work a mathematical model for the riser reactor of Fluid

    Catalytic Cracking has been developed. The riser is considered as a plug

    flow reactor incorporating the four lumps model for kinetics of cracking

    reactions. Catalyst deactivation function is calculated based on linear

    relationship between the catalyst coke content and its retention activity.

    The model has been validated using the plant data of a commercial FCC

    unit with RxCat technology developed by UOP. The model can predict the

    mixing temperatures, at MxR chamber and riser inlet; also shows the

    physical performance and productivity all over the riser height. An

    interactive excel worksheet is constructed and used as a powerful tool for

    solving the model equations and studying the effect of any change in

    operating variableson the unit performance.

  • V

    CONTENTS

    Certification I

    Acknowledgements III

    Abstract IV

    Contents V

    List of Figures VII

    List of Tables IX

    Nomenclature X

    CHAPTER – 1Introduction 1

    1.1. Introduction 1

    1.2. Aim and scope of Work 4

    CHAPTER – 2Literature Survey 5

    CHAPTER – 3Mathematical Modeling 10

    3.1. Introduction 10

    3.2. Reactor / Regenerator Material & Energy Balances 10

    3.2.1. Material Balance 11

    3.2.1.1. Reactor Material Balance 11

    3.2.1.2. Regenerator Materials Balance 12

    3.2.2. Energy Balance 13

    3.2.2.1. Reactor Energy Balance 13

    3.2.2.2. Regenerator Energy balance 13

    3.3. Riser model 14

    3.3.1. Model Assumptions 14

    3.3.2. Cracking Reaction Kinetics 15

    3.3.3. Concentration, Temperature, Pressure and Coking

    time Profiles in the Riser 17

    3.3.4. Catalyst Deactivation 18

    3.3.5. Riser Hydrodynamics 19

  • VI

    3.3.6. Mixing Temperatures 21

    3.4. Heat of Combustion at the Regenerator 23

    3.5. Model Solution 23

    CHAPTER – 4 Results and Discussion 26

    4.1. Introduction 26

    4.2. Case Study 26

    4.3. Model Results 28

    CHAPTER – 5 Conclusions and Recommendations 38

    5.1. Conclusion 38

    5.2. Recommendations for FutureWork 39

    Appendix A -Fluidized Catalytic Cracking Technologies A-1

    Appendix B - Variables of FCCunits B-1

    Appendix C - Computer Programs C-1

    Appendix D -Glossary of Terms Used In This Work E-1

    References R-1

  • VII

    LIST OF FIGURES

    Figure No. Title Page No.

    Figure 1.1 Fluid Catalytic Cracking Unit 2

    Figure 3.1 schematic of FCCU reactor/regenerator system used in present model

    11

    Figure 3.2 Input and output streams for reactor and regenerator in FCCU

    12

    Figure 3.3 A volume element in the riser reactor 14

    Figure 3.4 Schematic of four lumped reactions 16

    Figure 3.5 Mathematical representation of reactor riser used in the model

    21

    Figure 3.6 computational flow diagrams for riser reactor model

    25

    Figure 4.1 Four lump concentration profile vs. riser height 28

    Figure 4.2 Riser temperature profile 28

    Figure 4.3 Riser pressure profile 30

    Figure 4.4 Gas phase molecular weight vs. riser length 30

    Figure 4.5 Gas phase density vs. riser height 30

    Figure 4.6 Gas phase mass rate vs. riser height 31

    Figure 4.7 Slip factor vs. riser height 32

    Figure 4.8 Gas phase and catalyst velocities vs. riser height

    32

    Figure 4.9 Gas phase and catalyst residence times vs. riser height

    33

    Figure 4.10 Gas phase void fraction vs. riser height 34

  • VIII

    Figure No. Title Page No.

    Figure 4.11 Predicted catalyst activity along the riser height

    34

    Figure 4.12 Gasoline yield vs. feed conversion 35

    Figure 4.13 Feed conversion vs. riser height 35

    Figure A-1(a) Stacked Reactor regenerator configuration A-2

    Figure A-1(b) Side by side Reactor regenerator configuration A-2

    Figure A-2 KBR’s counter-current regeneration design A-5

    Figure A-3 Lummus FCCU Process Flow Diagram A-7

    Figure A-4 S&W / IFP FCCU design A-10

    Figure A-5 Mix zone temperature control & Feed injection nozzle

    A-11

    Figure A-6 Shell’s FCC & MILOS-FCC designs A-13

    Figure A-7 PentaFlow Packing & Feed nozzels configurations

    A-14

    Figure A-8 UOP’s reactor/regenerator FCCU design A-16

    Figure B-1 FCC reaction network B-4

    Figure B-2 Principal Reactions in Fluid Catalytic Cracking B-5

    Figure B-3 Evolution in structure of FCC catalysts before 1990

    B-6

    Figure B-4 Catalyst activity retention vs. Carbon on regenerated catalyst

    B-8

    Figure C-1 Constructed Excel worksheet For FCC unit C-8

  • IX

    LIST OF TABLES

    Table No. Title Page No.

    Table 1.1 Gasoline Pool Example 2

    Table 4.1 Kinetic parameters with Modified frequency factors used in present model

    27

    Table 4.2 Mixing temperatures at MxR chamber and Riser inlet temperature

    27

    Table 4.3 Model predicted and plant values comparison 36

    Table 4.4 Case study results 36

    Table A-1 KBR & ExxonMobil FCCU Technologies A-6

    Table A-2 LUMMUS FCCU Technologies A-8

    Table A-3 S&W / IFP FCCU Technologies A-11

    Table A-4 Shell’s FCCU Technologies A-14

    Table B-1 Feedstock Crackability B-2

    Table B-2 Typical FCC unit products B-3

    Table B-3 Effect of operating Temperature of the reactor on the performance of a fluidized bed cracking

    B-11

    Table C-1 Variables used in Polymath program C-1

  • X

    NOMENCLATURES

    A Riser cross section area (m2)

    Ar Archimedes number (-)

    Cp Heat capacity (kJ/kg.K)

    D Riser diameter (m)

    d Particle diameter (m)

    Ej Activation energy (kJ/kmole)

    Fr Fround number

    H Heat enthalpy (kJ/s)

    Hj Heat enthalpy of jth reaction (kJ/kg)

    Kj Kinetic reaction rate constant of jth reaction

    Koj frequency factor or preexponential factor for jth reaction

    Kuop UOP characterization factor

    L Riser Height (m)

    MW Molecular weight (kg/kg mole)

    m Mass rate (kg/s)

    P Riser pressure (Pascal)

    R Universal ideal gas constant (atm ∙ m3/kmole ∙ K)

    Re Reynold number

    S Sulfur (kg/s)

    Sph Sphericity

    SG Feed specific gravity

    T Temperature (K)

    t Gas phase residence time (second)

    tc Catalyst residence time (second)

    u Velocity (m/s)

    WHSV Weighted hourly space velocity (1/hr)

    X Conversion (wt %)

    yi Weight fraction of ith lump

  • XI

    z Axial position of riser height (m)

    Greek letters

    ε Voidage

    ϕ Catalyst deactivation function

    ρ Density (kg/m3)

    ψ Slip factor Catalytic cracker efficiency ∆ Difference

    μ Viscosity (Pa.s)

    σj Ratio of frequency factor of jth lump reaction per frequency factor of VGO to gasoline reaction

    Subscripts

    air Air for regeneration

    cok Coke

    cat Catalyst

    ds Dispersion or Atomizing steam

    f Feed

    fg Flue gas

    fl Feed in the liquid phase

    fv Feed in the vapor phase

    g Gas phase

    in Flowing in

    j 1,2,3,4 and 5 for the reactions VGO to GLN, VGO to LGS,

    VGO to COK, GLN to LGS, and GLN to COK respectively

    ls Lifting steam

    mix1 Mixing temperature at MxR chamber

    mix2 Mixing temperature at riser inlet

  • XII

    o Superficial

    out Flowing out

    p Particle

    pr Products

    rcat Regenerated catalyst

    rcoke Coke on the regenerated catalyst

    s Steam

    si Riser and reactor inlet steam

    so Riser and reactor outlet steam

    scat Spent catalyst

    scok Coke on the spent catalyst

    t Terminal velocity

    xcat Carbonized catalyst

    xcok Coke of carbonized catalyst

    Abbreviations

    AF Advanced Fluidization

    BPSD Barrel Per Stream Day

    CB & I Chicago Bridge & Iron

    CCR Conradson Carbon Residue or Catalyst Circulation Rate

    CFD Computational Fluid Dynamics

    COK Coke

    CRC Coke on the Regenerated Catalyst

    CSC Coke on the Spent Catalyst

    C/O Catalyst to Oil ratio

    E-cat Equilibrium Catalyst

    EMRE ExxonMobil Research and Engineering

    FCC Fluidized Catalytic Cracking

    FCCU Fluidized Catalytic Cracking

    FEED Front End Engineering Design

  • XIII

    FF Fresh Feed

    GLN Gasoline

    HCO Heavy Cycle Oil

    IFP Institute France Petrol

    KBR Kellogg Brown & Root

    LCO Light Cycle Oil

    LGS Light Gases

    LPG Liquefied Petroleum Gas

    MTC Mix Temperature Control

    RON Research Octane Number

    RSS Riser Separator Stripper

    ODE Ordinary Differential Equation

    TSS Third Stage Separator

    UOP Universal Oil Products

    VDS Vortex Disengaging System

    VGO Vacuum Gasoil

    VSS Vortex Separation System

  • CHAPTER ONE

    INTRODUCTION

  • Chapter One Introduction

    1

    1.1. INTRODUCTION Fluid catalytic cracking (FCC) technology is a technology with more than

    60 years of commercial operating experience. The process is used to

    convert higher-molecular-weight hydrocarbons to lighter, more valuable

    products through contact with a powdered catalyst at appropriate

    conditions. The primary purpose of the FCC process has been to produce

    gasoline, distillate, and C3/C4 olefins from low-value excess refinery gas

    oils and heavier refinery streams. FCC is often the heart of a modern

    refinery because of its adaptability to changing feedstocks and product

    demands and because of high margins that exist between the FCC

    feedstocks and converted FCC products. As oil refining has evolved over

    the last 60 years, the FCC process has evolved with it, meeting the

    challenges of cracking heavier, more contaminated feedstocks, increasing

    operating flexibility, accommodating environmental legislation, and

    maximizing reliability [1]. In the environmental protection field, FCC unit

    play a significant role by producing the gasoline with lower benzene

    content as clarified in the gasoline pool example (Table 1.1)

    Refineries use fluid catalytic cracking to correct the imbalance between the

    market demand for gasoline and the excess of heavy high boiling range

    products resulting from the distillation of crude oil. [2]

    The fluid catalytic cracking (FCC) unit consists of a reaction section and a

    fractionating section that operate together as an integrated processing unit.

    The reaction section includes two reactors, the riser reactor, where almost

    all the endothermic cracking reactions and coke deposition on the catalyst

    occur, and the regenerator reactor, where air is used to burn off the

    accumulated coke. The regeneration process provides, in addition to

    reactivating the catalyst powders, the heat required by the endothermic

    cracking reactions, (Figure 1.1). [3]

  • Chapter One Introduction

    2

    Figure 1.1: Fluid Catalytic Cracking Unit [4]

    Table 1.1

    Gasoline Pool Example [5, 6]

    Gasoline source

    % vol. of Pool

    % vol. Bz. RON

    % vol Pool RON

    FCC 35 0.8 88 33.8 Reformate 30 4.5 94 31 Alkylate 20 0 94 20.6 Isomerate 15 0.6 89 14.6

    Isomerization Alkylation

    FCCU Reformer

  • Chapter One Introduction

    3

    A modern FCC unit comprises different sections such as a riser reactor, a

    stripper, a disengager, a regenerator, a main fractionator, catalyst transport

    lines (spent catalyst standpipe and regenerated catalyst standpipe) and

    several other auxiliary units such as: cyclones, air blower, expander, wet

    gas compressor, feed pre-heater, air heater, catalyst cooler, etc [7]. The

    proprietary new designs and technologies that have been developed by the

    major FCC designers and licensors are briefly described in the

    Appendix A.

    Because of the importance of FCC unit in refining, a construction of

    mathematical model that can describe the dynamic behavior of FCC unit

    equipments in steady state is very important. Accurate model can be used

    as a powerful tool to study the effect of process variables on the

    performance and productivity of the system [7].

    Simulation studies also provide guidance in the development of new

    processes and can reduce both time and investment [8]. The effective

    simulation of the fluid catalytic cracking operation requires knowledge of

    reaction kinetics, fluid dynamics, feed and catalyst effects [9].

    The riser reactor is probably the most important equipment in a FCC unit.

    The modeling of a riser reactor is very complex due to complex

    hydrodynamics and unknown multiple reactions, coupled with mass

    transfer resistance, heat transfer resistance and deactivation kinetics. A

    complete model of the riser reactor should include all the important

    physical phenomena and detailed reaction kinetics [10].

  • Chapter One Introduction

    4

    1.2. AIMS AND SCOPE OF WORK The main objectives of the present work are:

    1. A short literature review of previous FCC riser modeling and

    simulation studies.

    2. Formulation of a mathematical model that can describe the reaction

    kinetics and physical performance in the riser section of FCC unit by

    using four lump model for kinetics description with linearly scaled

    up frequency factors of Arrhenius equations.

    3. The quantities of lifting and dispersion steam in all calculation steps

    will be considered.

    4. Model validation against a commercial scale FCC unit designed by

    UOP is to be investigated.

    5. An interactive excel worksheet for solving model equations and

    studying the unit performance is to be constructed.

  • CHAPTER TWO

    LITERATURE SURVEY

  • Chapter Two Literature Survey

    5

    Modeling of riser reactor is very complex due to complex

    hydrodynamics, unknown multiple reactions coupled with mass transfer and

    heat transfer resistances. Also, the conditions keep changing all along the riser

    height due to cracking which causes molar expansion in the gas phase and

    influences the axial and radial catalyst density in the riser. In the literature,

    numerous models of FCC riser are available with varying degrees of

    simplifications and assumptions.

    Ali et al. (1997) [3]; Arbel et al. (1995) [11]; Han et al. (2001) [12],

    developed a mathematical model of an industrial FCC unit, includes one

    dimensional mass, energy, and species balance; their models was based on the

    assumption of instantaneous and complete vaporization of the feed when

    contacted with hot regenerated catalyst assuming modern high efficiency feed

    injection systems. These types of modeling are normally simple to formulate

    and to solve. They are more suitable when the interest is to explore the

    influence of operating conditions, test a kinetic model or when the simulation

    includes not only the riser, but also other equipments like the regenerator and

    the stripper. The simplest kind of these models is the homogeneous version,

    where both the vapor phase (hydrocarbon feed & products vapors) and the

    solid phase (catalyst & coke) are moving at the same velocity. The

    heterogeneous version considers different velocities for the two phases,

    resulting in different residence times for each phase inside the riser.

    The simplest hydrodynamic models assume steady state ideal plug flow

    reactor.

  • Chapter Two Literature Survey

    6

    Ali et al. [3] and Han et al. [12] used the four-lump kinetic models to

    describe the behavior of cracking reactions, while Arbel et al. [11] used more

    complex ten-lump model.

    Theologos and Markatos (1993) [13] proposed a three dimensional

    mathematical model considering two phase flow, heat transfer, and three lump

    reaction scheme in the riser reactor. The authors developed the full set of

    partial differential equations that describes the conservation of mass,

    momentum, energy and chemical species for both phases, coupled with

    empirical correlations concerning interphase friction, interphase heat transfer,

    and fluid to wall frictional forces. The model can predict pressure drop,

    catalyst holdup, interphase slip velocity, temperature distribution in both

    phases, and yield distribution all over the riser. Theologos et al. (1997) [14]

    coupled the model of Theologos and Markatos (1993) [13] with a ten lump

    reaction scheme to predict the yield pattern of the FCC riser reactor.

    An integrated dynamic model for the complete description of the fluid

    catalytic cracking unit (FCC unit) was developed by Bollas et al. (2002) [15];

    the model simulates successfully the riser and the regenerator of FCC and

    incorporates operating conditions, feed properties and catalyst effects.

    Erthal et al. (2003) [16], developed a one dimensional, mathematical

    model, they considered in their model gas-solid flow that occurs in FCC risers,

    two equations of momentum conservation applied to the compressible gas

    flow and solid flow respectively, the model considers also the drag force and

    heat transfer coefficient between two phases; four lump model used for

    cracking reactions description.

  • Chapter Two Literature Survey

    7

    Souzaa et al. (2003) [17], combined a 2-D fluid flow field with a 6- lumps

    kinetic model and used two energy equations (catalyst and gas oil) to simulate

    the gas oil cracking process inside the riser reactor.

    Das et al. (2003) [18], performed the three-dimensional simulation of an

    industrial-scale fluid catalytic cracking riser reactor using a novel density-

    based solution algorithm. The particle-level fluctuations are modeled in the

    framework of the kinetic theory of granular flow. The reactor model includes

    separate continuity equations for the components in the bulk gas and inside the

    solid phase.

    Berry et al. (2004) [19], modified the two-dimensional hydrodynamic

    model to make it predictive by incorporating the slip factor for the calculation

    of the cross-sectionally averaged voidage. The model has been coupled with

    the four-lump kinetic model to predict the effect of operating conditions on

    profiles of conversion, yield, temperature and pressure in the riser.

    Hassan (2005) [20], developed Material and energy balance calculations to

    design Fluidized catalytic cracking (FCC) unit from Iraqi crude oil. She used

    the visual basic program in her work.

    With regard to reaction and kinetics, Xu et al. (2006) [21] proposed a

    seven lump kinetic model to describe residual oil catalytic cracking, in which

    products especially coke were lumped separately for accurate prediction.

    Because in recent studies, kinetics was developed accounting for coke

    formation leading to catalyst deactivation. The reactor block is modeled as a

    combination of an ideal Plug Flow Reactor (PFR) and a Continuously Stirred

    Tank Reactor (CSTR).

  • Chapter Two Literature Survey

    8

    On the other hand, Krishnaiah et al. (2007) [22], a steady state simulation

    for the fluid cracking was investigated, the riser reactor was modeled as a plug

    flow reactor incorporating four lump model for cracking reactions; they

    studied the effect of the operating variables on FCC unit performance, a

    catalyst to oil ratio, air rate and gasoil inlet temperature have been chosen as

    operating variables.

    Souza et al. (2007) [23], bi – dimensional fluid flow combined with six

    lumps kinetic model and two energy equations are used to model the gasoil

    mixture flow and the cracking process inside the riser reactor.

    Gupta et al. (2007) [24] proposed a new kinetic scheme based on

    pseudocomponents cracking and developed a semi-empirical model for the

    estimation of the rate constants of the resulting reaction network. Fifty

    pseudocomponents (lumps) are considered in this scheme resulting in more

    than 10,000 reaction possibilities. The model can be easily used to incorporate

    other aspects of the riser modeling.

    Ahari et al. (2008) [25], a one dimensional adiabatic model for riser reactor

    of FCC unit was developed, the chemical reaction were characterized by a

    four lump kinetic model, in their study, four cases of industrial riser operating

    conditions have been adopted and the modified kinetic parameters are used to

    eliminate the deviations between calculated and real values, also simulation

    studies are performed to investigate the effect of changing process variables.

    Based on Ahari et al. (2008) [25] study, Heydari et al. (2010) [26] performed

    an excessive analysis to gasoline yield throughout the riser with respect to

    different inlet mixing temperatures, different feed rates and different catalyst

    to oil ratios.

  • Chapter Two Literature Survey

    9

    Shakoor (2010) [27] developed a computer program using MATLAB 7

    software to determine the rate constants of FCC unit cracking reactions

    represented by six lump model and at any certain temperature.

    Baurdez et al. (2010) [28] proposed a method for steady-state/transient,

    two phase gas–solid simulation of a FCC riser reactor. Authors used a simple

    four lump kinetic model to demonstrate the feasibility of the method

    Osman et al. (2010) [29] developed a kinetic model to simulate the riser of

    a residue fluid catalytic cracking unit (RFCC) at steady state. The model based

    on combination the material and energy balance equations with seven lump

    model and a modified two dimensional hydrodynamic model. Simulation has

    been performed based on the data from an operating unit at Khartoum

    Refinery Company (KRC). MATLAB environment has been used to solve and

    analyze the kinetic model and process variables.

    A control system of a fluidized-bed catalytic cracking unit has been

    developed by AL-Niami (2010) [30]. In this work the dynamic and control

    system based on basic energy balance in the reactor and regenerator systems

    have been carried out. For the control system, the important input variables

    were chosen to be the reactor temperature and the regenerator temperature.

  • CHAPTER THREE

    MATHEMATICAL

    MODELING

  • Chapter Three Mathematical Modeling

    10

    3.1. INTRODUCTION In this chapter, a mathematical model for the riser of an industrial FCC is

    developed, based on the reactor/regenerator configuration presented in the

    Figure 3.1. The preheated raw oil and steam are introduced into the reactor

    riser at a point near the base of the riser above the MxR Chamber. Here, the

    feed is contacted with a controlled amount of regenerated catalyst and lift

    media from the MxR Chamber. The regenerated catalyst flow is controlled

    to maintain a desired reactor temperature, and the spent catalyst

    recirculation to the MxR Chamber is controlled manually or by ratio to the

    regenerated catalyst flow. Feed and steam are mixed and injected through

    the feed nozzles distributors. At the distributors the riser diameter increases

    to allow for the expansion of hydrocarbon vapors as the oil is vaporized

    when it meets the catalyst. As a result of feed vaporization, the cracking

    reactions start and the density of the oil decreases causing an increase in the

    velocity of the vapor/gas phase. The increasing gas phase velocity

    accelerates the velocity of the catalyst and the riser behaves as a transport

    bed reactor. The Gasoil is converted to gasoline range hydrocarbons, light

    gases and coke. The cracking reactions’ by product (coke) gets deposited

    on the catalyst surface and decreases its activity as the catalyst moves

    toward the exit of the riser. Because the riser volume is small, it limits the

    contact time between the catalyst and hydrocarbon to 5 seconds or less, and

    prevents over cracking of the feed[10].

    3.2. REACTOR/REGENERATOR MATERIAL & ENERGY BALANCES

    The material and energy balances around the reactor and the

    regenerator can be calculated by defining the input and output streams

    (Figure 3.2).

  • Chapter Three Mathematical Modeling

    11

    Figure 3.1 schematic of FCC unit reactor/regenerator system used in

    present model [31]

    3.2.1. MATERIAL BALANCE The material balance for any system at steady state is defined as:

    Mass in = Mass out

    3.2.1.1. REACTOR MATERIAL BALANCE Mass in = Mass of (feed + steam + regenerated catalyst)

    Mass out = Mass of (reactor vapor + spent catalyst + steam)

    Where, the oil feed contains small quantity of sulfur, portion of the sulfur

    goes with spent catalyst and burned to SO2 in the regenerator, the

    remainder exists with products; and steam inlet is equal to summation of

    lifting steam, injection steam and stripping steam.

  • Chapter Three Mathematical Modeling

    12

    Assuming steam inlet does not condense and is present in the exit vapor

    products at the same rate, therefore reactor material balance can be

    expressed as[33]:

    mf + msi + mrcat = mpr + mso + mscat (3.1)

    Since, mscat = mrcat + mcokandmsi = mso

    Then, eq. (3.1) eliminated to:

    mf = mpr + mcok (3.2)

    3.2.1.2. REGENERATOR MATERIAL BALANCE Mass in = Mass of (spent catalyst + air for coke burning)

    Mass out = Mass of (flue gases + regenerated catalyst)

    OR

    mscat + mair = mfg + mrcat (3.3)

    Figure 3.2 Input and output streams for reactor and regenerator in FCCU

    ∆H Reaction

    ∆H Combustion

    of Coke

    FEED (mf)

    Steam (msi)

    Product vapors

    + steam (mpr+mso) Flue gases

    (mfg)

    Air (mair)

    Radiation losses

    Heat removal

    Radiation losses

    mrcat

    mscat

  • Chapter Three Mathematical Modeling

    13

    3.2.2. ENERGY BALANCE The hot regenerated catalyst supplies the bulk of the heat required to

    vaporize the liquid feed to provide the overall endothermic heat of

    cracking, and to raise the temperature of dispersion steam and inert gases to

    the reactor temperature. [40] The energy balance equation at steady state may

    be written as:

    Energy in + Energy produced = Energy out + Energy consumed

    3.2.2.1. REACTOR ENERGY BALANCE Energy in = Energy of (feed + regenerated catalyst + steam)

    Energy produced = 0

    Energy out = Energy of (reactor vapors + spent catalyst + radiation losses)

    Energy consumed = Heat of reaction

    If the Reactor temperature is the reference base temperature, then

    -ΔHfeed - ΔHsteam + ΔHregenerated catalyst = ΔHradiation losses + ΔHReaction

    Or

    ΔHregenerated catalyst = ΔHfeed + ΔHsteam + ΔHradiation losses +ΔHReaction (3.4)

    3.2.2.2. REGENERATOR ENERGY BALANCE Energy in = Energy (air with moisture + spent catalyst + coke)

    Energy produced = Combustion heat of coke

    Energy out = Energy (flue gas with moisture + regenerated catalyst

    +removed by catalyst cooler + radiation losses)

    Energy consumed = 0

    If the Regenerator temperature is the reference temperature then,

    ΔHcombustion of coke = ΔHcatalyst + ΔHair + ΔHsteam+ ΔHcoke+ ΔHremoved +

    ΔHradiation losses (3.5)

  • Chapter Three Mathematical Modeling

    14

    The enthalpy change for the spent and regenerated catalyst is given by

    ΔHspent catalyst = mcatCpcat(Regen. Temp.- Reactor Temp.)

    ΔHregenerated catalyst = mcatCpcat(Reactor Temp. –Regen. Temp.)

    At steady conditions,

    ΔHspent catalyst + ΔHregenerated catalyst = 0

    3.3. RISER MODEL For numerical computation, riser is divided into equal sized segments

    of thickness (dz), forming sequential equal sized volume elements (see

    Figure 3.3).

    Figure 3.3 A volume element in the riser reactor

    3.3.1. MODEL ASSUMPTIONS In order to develop a mathematical model for the riser reactor, the

    following assumptions are introduced:

    z

    dz

    Z = 0

    Z = L

  • Chapter Three Mathematical Modeling

    15

    a. One dimensional transported plug flow reactor prevails in the riser

    without radial and axial dispersion

    b. Steady state operation

    c. The riser wall is adiabatic.

    d. Viscosities and heat capacities for all components in vapor phase are

    constant along the riser.

    e. The pressure change through the riser length is due to the static head of

    catalyst in the riser.

    f. The coke deposited on the catalyst does not affect the fluid flow

    g. Instantaneous vaporization occurred in entrance of riser.

    h. Each volume element is assumed to contain two phases (i) solid phase

    (catalyst and coke) and (ii) gas phase (vapors of feed and product

    hydrocarbon, and steam).

    i. Each volume element, solid and gas phases are assumed to be well

    mixed so that heat and mass transfer resistances can be ignored, and the

    two phases have the same temperature.

    j. The gas-solid flow is fully developed along all the riser height.

    3.3.2. CRACKING REACTIONS KINETICS The FCC process involves a network of reactions producing a large

    number of compounds. Therefore, lumping models can be used to describe

    the reaction system in terms of the feed and a defined number of products,

    the agglomeration of many chemical compounds into a single compound

    (called a lump),should exhibit some or several common properties(i.e.

    boiling point, molecular weight, reactivity).In this work four lump model

    scheme has been selected (Figure 3.4). This scheme consists of (VGO feed,

    Light gases, Gasoline, and Coke), it is more realistic and simple to solve,

    with more lumps, the mathematic becomes more complicated.

  • Chapter Three Mathematical Modeling

    16

    Figure 3.4 Schematic of four lumped reactions

    According to this scheme, a part of gasoline is also converted to light gases

    and coke. It is assumed that cracking reaction rate is second order with

    respect to Gasoil, and first order with respect to Gasoline, and the reactions

    take place only in the vapor phase[3]. Rate constants (Kj) for cracking

    reactions follow the Arrhenius dependence on temperature (equation 3.6). = (3.6)

    Where, the kinetic parameters (Koj and Ej) for cracking reactions are

    selected from the literatures[23, 25]. In order to fit the predicted gasoline yield

    with industrial gasoline yield, the selected frequency factors can be scaled

    linearly by dividing each one by the modified frequency factor (Ko1)ofthe

    reaction feedstock → gasoline: = (3.7)

    While, the selected activation energies are used directly in the industrial

    scale unit model. This approach has been adopted by Ancheyta (2011) [34].

    VGO Gasoline

    Light gases

    Coke

    K2

    K1

    K3

    K4

    K5

  • Chapter Three Mathematical Modeling

    17

    3.3.3. CONCENTRATION, TEMPERATURE, PRESSURE AND

    COKING TIME PROFILES IN THE RISER

    In order to calculate the concentration profile for each lump

    throughout the riser height, a differential material balance can be applied

    along the riser, the following set of equations is obtained[3, 22, 33]:

    For VGO lump: = − ∙ ∙ ∙ [ + + ] ∙ (3.8) For gasoline lump: = ∙ ∙ ∙ [ ∙ − ( + ) ∙ ] (3.9) For light gases lump: = ∙ ∙ ∙ [ ∙ + ∙ ] (3.10) For coke lump: = ∙ ∙ ∙ [ ∙ + ∙ ] (3.11)

    The temperature profile along the riser can be calculated using following

    energy balance equation [3, 22, 33]: = − ∙ ∙ ∙ + ( ∆ + ∆ + ∆ ) ∙ +( ∆ + ∆ ) ∙ (3.12)

    Where, the term {– ϕ [(K1∆H1+K2∆H2+K3∆H3) y12 + (K4∆H4+K5∆H5) y2]} represents the energy absorbed by endothermic reaction of vapor phase in

    the riser [16].

    The pressure change throughout the riser can be predicted by[34]: = − ∙ ∙ (1 − ) (3.13)

  • Chapter Three Mathematical Modeling

    18

    The catalyst residence time can be calculated using following equation [33]: = ∙ ∙ + [ ] ∙ ∙ (1 − ) ∙ ∙ ∙ (3.14)

    The variation of the vapor phase mass flow rate (mg) throughout the riser

    can be predicted by the following equation [33]: = ( + + ) + + (3.15)

    Where, the quantities of dispersion steam (mds) and lifting steam (mls) that

    inlets the riser are controlled as 1wt% and 3.5wt% of the feed rate,

    respectively. The vapor phase density considered ideal gas and calculated

    by: = ∙ 101325 ∙ (3.16)

    The average vapor phase molecular weight expressed as [16]: = 1 + + + ( )/ (3.17)

    3.3.4. CATALYST DEACTIVATION

    The catalyst deactivation function ( )due to coke deposition, generally, there are two ways of its representation, one that depends on the

    catalyst contact time and the other one depends on the catalyst coke

    content. Since the functions that depend on the contact time do not account

    for the efficiency of the regenerator, i.e. the catalyst activity at the riser

    inlet. Therefore, in this work a single deactivation function depending on

    the catalyst coke content has been formulated from (Figure B-4) in

    appendix B using curve fit technique:

  • Chapter Three Mathematical Modeling

    19

    = 1 − 45 × ( × ) + (3.18)

    3.3.5. RISER HYDRODYNAMICS After complete vaporization of feed, only solid phase (catalyst &

    coke) and vapor phase (steam, hydrocarbon feed and product vapor) are

    left. Based on the model assumption, the two phases in fully developed

    flow, the empirical correlation (equation 3.19) developed by Patience et al. (1992) for calculating slip factor can be applied. Slip factor, defined as

    the ratio of interstitial gas velocity to average solids velocity.

    = = ∙ = 1 + 5.6 + 0.47 ∙ . (3.19)

    Where = ∙ (3.20) And = ∙ (3.21)

    The superficial gas velocity is calculated by: = ∙ (3.22)

    And the average particle velocity calculated by [25]: = ∙ ∙ (1 − ) (3.23)

    By combination of equations (3.19),(3.22) and (3.23), the average void fraction of the vapor phase can be evaluated by:

  • Chapter Three Mathematical Modeling

    20

    = ∙ ∙ ∙ + ∙ (3.24) Therefore, the gas and particle velocities can be evaluated by: = (3.25) = (3.26)

    The residence time of the gas phase can be represented as the ratio of

    distance and velocity as: = (3.27)

    In order to calculate the particle terminal velocity, many correlations used

    and can be found in the literatures. In general, the terminal velocity is

    usually calculated for three zones: Stokes, intermediate and Newton zone,

    and it classified according to Archimedes numbers which defines the

    border between different zones. The Stokes regime holds for Ar< 32.9,

    Intermediate regime is valid for 32.9 106.5. In this work the simple correlation (equation3.29) for intermediate regime has been employed for calculating Reynolds

    number based on particle terminal velocity[35, 36, 37]:

    = ∙ − ∙ ∙ (3.28) = 18 + (2.3348 − 1.7439 ∙ ℎ) ∙ . (3.29) = ∙ ∙ (3.30)

  • Chapter Three Mathematical Modeling

    21

    3.3.6. MIXING TEMPERATURES In order to calculate the mixing temperature (Tmix1) at the MxR

    chamber, where the hot regenerated catalyst is mixed with the carbonized

    catalyst which has the same riser outlet temperature, and the mixed

    catalysts are lifted by steam (Figure3.5). The energy balance around MxR

    chamber can be applied to obtain the following equation:

    = ( + ) + ( + ) − ( ) ( + ) + ( + ) + (3.31)

    Figure 3.5 Mathematical representation of reactor riser used in the model

    MxR chamber mxcat

    mxcok Tout

    mrcat mrcok Trcat

    mls Tls

    mcat mcok mls Tmix1

    mf Tfl API Cpfv

    mds Tds

    mcat mcok mg Tmix2

    mscat mscok Tout

    mg Tout

    Rege

    nera

    tor

    Carbonized catalyst

    Regenerated catalyst

    (Lifting steam)

  • Chapter Three Mathematical Modeling

    22

    For calculating the riser inlet mixing temperature (Tmix2), where the

    lifting (regenerated/carbonized catalysts + steam) are mixed with injected

    (feed + dispersion steam), the energy balance (equation3.32) around the riser inlet can be formulated.

    ( − ) + ( − ) + ( − )= ( − ) + 2.32 × × [ 1(1.8 − 459.67) − 2(1.8 − 459.67) + 3 − ] (3.32)

    Solving equation (3.32) for Tmix2, and taking the positive root for the quadratic equation gives: = − + √ − 4 2 (3.33) Where = 2.32 × 3.24 × × 1 (3.34) = + + + − 2.32 × 1654.812× × 1 − 2.32 × 1.8 × × 2 (3.35) = 2.32 × (459.67) × × 1 + 2.32 × 459.67 × × 2 + 2.32× × 3 − 2.32 × × − − × ( + + ) (3.36)

    Note that equation (3.33) represents the initial boundary condition to the differential equation (3.12)

  • Chapter Three Mathematical Modeling

    23

    3.4. HEAT OF COMBUSTION AT THE REGENERATOR At the regenerator where coke on the catalyst is burning off, the heat

    consumed (kJ/s) for catalyst heating up inside the regenerator can be

    calculated: ∆ = ( − ) (3.37)

    And the heat consumed (kJ/s) for heating up the coke, air and moisture plus

    heat losses and removed are assumed 38% of total heat of combustion of

    the coke. Therefore, equation 3.5 becomes: ∆ = ∆ 1 − 0.38 (3.38) Therefore, the heat of combustion at the regenerator per 1Kg of coke burnt,

    can be calculated as follows:

    ∆ = ∆ . × (3.39)

    3.5. MODEL SOLUTION A computer program presented in Appendix C for the model

    simulation was developed using polymath version 5.1 and Microsoft Excel

    worksheet 2007, based on the 4th order Runge – Kutta method numerical

    technique; and a sequential approach has been chosen in this solution. In

    the present work the height of each volume element was kept 5cm. Further

    decrease in the height of the volume element had no appreciable effect on

    the results.

    The sequence of calculation steps is listed below and the flow diagram for

    the same sequence is given in Fig. 3.6. The model results and discussions

    are presented in chapter four.

  • Chapter Three Mathematical Modeling

    24

    Sequence of calculation steps:

    1. Read the input data required for calculation of MxR chamber

    temperature.

    2. Calculate Tmix1 (equation 3.31)

    3. Read the input data required for calculation of riser inlet temperature.

    4. Calculate Tmix2 (equation 3.33)

    5. Read the input initial values of ODEs.

    6. Calculate the variable parameters (ϕ, K1, K2, K3, K4, K5, MWg, ρg, mg, Uo, Ar, Ret, Ut, ψ, εg, Ug, Up, X) using the appropriate correlations. In this step all the calculated variable parameters are

    represent the conditions of current volume element. As the conditions

    at the exit of current volume element are the same as the conditions at

    the inlet of the next volume element, therefore, use these calculated

    values as an initial values for calculation the next volume element

    conditions, equations (3.6) and (3.15) to (3.30).

    7. Go to the next volume element with (z = z + 0.05).

    8. Calculate the new values of ODEs depending on the calculated values

    in step 6, equations (3.8) to (3.14).

    9. Repeat steps 6 - 8 until the sum of increment height equals the height

    of the riser.

    10. Calculate the yields and conversion at the exit of the riser.

    11. Calculate the cracking efficiency, selectivity, WHSV, delta coke,

    ∆Hcombustion of coke.

  • Chapter Three Mathematical Modeling

    25

    Figure 3.6 computational flow diagrams for riser reactor model

    START

    From E. B. Calculate Tmix1, eq. (3.31)

    From E. B. Calculate Tmix2, eq. (3.33)

    INPUT mf , Tf , Kuop , API , SG , mds , Tds , Cpg

    Calculated and updated values ϕ , K1, K2 , K3 , K4 , K5, MWg , ρg , mg , uo , Ar , Ret , ut , ψ , εg , ug , up , X, t

    Equations (3.6) and (3.15) to (3.30)

    Z < L

    END

    NO

    YES

    Calculate the yields and conversion

    Z = 0

    INPUT initial values of ODEs from (3.8) to (3.14) y1=1 , y2= y3= y4= 0 , tc= 0, T = Tmix2, P = Pin

    INPUT mrcat , mrcok,Trcat , mxcat , mxcok , Tout , mls , Tls , Cpcat , Cpcok , Cps

    Solve above seven ODEs by Runge – Kutta method

    Z = Z + 0.05

  • CHAPTER FOUR

    RESULTS AND

    DISCUSSIONS

  • Chapter Four Results and discussion

    26

    4.1. INTRODUCTION As discussed in previous chapter, the material and energy balance

    equations were combined with reaction kinetics and the hydrodynamic

    model equations to obtain a model capable to predicting the yield pattern

    along the riser height. In this chapter the proposed model is validated

    directly by comparing the model results with plant data. Model results are

    plotted in the following figures with a brief discussion. An Excel worksheet

    was developed for modeling of new and existing FCC unit, and to predict

    the effect of any change in operating parameters on unit performance.

    4.2. CASE STUDY For model validation, commercial FCC unit (30000 BPSD) designed

    to handle hydrotreated VGO feed was selected. The unit operates for

    maximum gasoline mode, therefore, no recycle occurs at normal operation [1], with (0.5/1) mixing ratio of carbonized catalyst to regenerated catalyst

    at MxR chamber.

    Table 4.1 shows the kinetic parameters for cracking reactions with

    adjustable frequency factors utilizing the productivity of studied case. This

    approach has been adopted by many researchers[25, 26, 34].

  • Chapter Four Results and discussion

    27

    Table 4.1 Kinetic parameters with Modified frequency factors used in present model

    Frequency factor Koj*

    Activation energy[16]

    Ej (kJ/kmol)

    Heat of reaction[25]

    ∆Hj (kJ/kg)

    Gasoil to gasoline 12500 57359 393 Gasoil to light gases 1950 52754 795 Gasoil to coke 16 31820 1200 Gasoline to light gases 2650 65733 1150 Gasoline to coke 550 66570 151

    *For feedstock cracking the Koj units are (wtfrac./s); for other lump cracking the Koj units are (s-1)

    4.3. MODEL RESULTS Table 4.2 lists the calculated and design values for mixing

    temperatures at MxR chamber and riser inlet region.

    Table 4.2 Mixing temperatures at MxR chamber and Riser inlet temperature Present model Licensor design data MxR temperature (K) 912.74 912 Riser inlet temperature (K) 833.99 834

    Product yield profiles and actual yield values have been modeled at the

    riser exit shown in Figure 4.1. It shows the chemical reactions are faster

    near the riser inlet where the higher gradients of the variables take place.

  • Chapter Four Results and discussion

    28

    Figure 4.1 Four lump concentration profile vs. riser height

    The riser temperature profile is plotted in Figure 4.2, where the

    temperature drops quickly in the first few meters of the riser bottom zone,

    indicating that most of the reactions occur at the riser bottom.

    Figure 4.2 Riser temperature profile

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    0 5 10 15 20 25 30 35

    wt f

    ract

    ion

    Riser Height (m)

    VGO present modelGLN present modelLGS present modelCOK present modelPlant dataPlant dataPlant dataPlant data

    800

    805

    810

    815

    820

    825

    830

    835

    840

    0 5 10 15 20 25 30 35

    Tem

    pera

    ture

    (K)

    Riser Height (m)

    Present model

    Plant data Tout

    Plant data Tin

  • Chapter Four Results and discussion

    29

    The predicted pressure profile of the riser is shown in Figure 4.3.The

    pressure drops 15.3 kPa only, while the actual pressure drop that exists in

    FCC risers is (35 – 62) kPa[40]. This difference is due to the simple

    assumption of present model, where static head of catalyst prevails,

    neglecting the frictions effect.

    Figure 4.3 Riser pressure profile

    The gas phase molecular weight along the riser height is shown in

    Figure4.4, where the molecular weight decreases due to the increase of

    light products percentage in the gas phase towards the riser exit. Although,

    the steam quantity is 4.5% of the total gas phase, however, the model gives

    better result of molecular weight when taking into account this small

    quantity of steam. As a result of decreasing the gas phase molecular

    weight, the gas density also decreases as shown in Figure 4.5.

    225000

    227000

    229000

    231000

    233000

    235000

    237000

    239000

    241000

    243000

    245000

    0 5 10 15 20 25 30 35

    Pres

    sure

    (Pa)

    Riser Height (m)

    Present model

  • Chapter Four Results and discussion

    30

    Figure 4.4 Gas phase molecular weight vs. riser length

    Figure 4.5 Gas phase density vs. riser height

    0

    20

    40

    60

    80

    100

    120

    140

    160

    180

    200

    0 5 10 15 20 25 30 35

    Kg/K

    mol

    e

    Riser Height (m)

    Present Model

    Plant data

    0

    1

    2

    3

    4

    5

    6

    7

    8

    0 5 10 15 20 25 30 35

    Den

    sity

    (Kg/

    m3)

    Riser Height (m)

    Present Model

    Plant data

  • Chapter Four Results and discussion

    31

    The mass flow rate of the gas phase through the riser is plotted in

    Figure4.6; it is decreases slightly due to the coke formation.

    Figure 4.6 Gas phase mass rate vs. riser height

    The slip factor is plotted in the Figure 4.7; slip factor is high at the

    beginning of the riser indicating the gas velocity is much greater than the

    particle velocity, while the gas phase velocity increase due to cracking

    reactions; it accelerates the catalyst velocity resulting decrease in slip

    factor. The slip factor values may range from 1.2 to 4, where 2 considered a

    typical in a commercial FCC unit[7].

    The gas phase and solid phase velocities are plotted in Figure 4.8. The

    figure shows the two phases at the maximum values at the riser exit.

    50.5

    51

    51.5

    52

    52.5

    53

    53.5

    54

    0 5 10 15 20 25 30 35

    Gas

    pha

    se m

    ass

    rate

    (Kg/

    s)

    Riser height (m)

    Present Model

    Plant data

  • Chapter Four Results and discussion

    32

    Figure 4.7 Slip factor vs. riser height

    Figure 4.8 Gas phase and catalyst velocities vs. riser height

    0

    1

    2

    3

    4

    5

    6

    0 5 10 15 20 25 30 35

    ψ

    Riser Height (m)

    Slip factor

    0

    2

    4

    6

    8

    10

    12

    14

    16

    0 5 10 15 20 25 30 35

    Velo

    city

    (m/s

    )

    Riser Height (m)

    Model Gas Phase velocity

    Model Solid phase velocity

  • Chapter Four Results and discussion

    33

    Figure 4.9 shows the gas phase and catalyst residence time in the riser.

    The gas residence time is 2.2 seconds, and this agrees with riser design

    criteria (1 to 5 seconds).While the catalyst is heavier than the gas, it stays

    about 7 seconds inside the riser.

    Figure 4.9 Gas phase and catalyst residence times vs. riser height

    Figure 4.10 indicates a molar expansion of the gas phase as a function

    of cracking reaction. It shows that at 2m of the riser height is locally 92%

    occupied by the gas phase, and this agrees with Figure 51 of Gauthier

    (2009) [41]The catalyst deactivation function is plotted in Figure 4.11. The

    catalyst activity at the beginning of the riser is around 0.8 indicates to the

    effect of mixed carbonized catalyst of lower activity, while the catalyst

    activity at the riser exit is around 0.44.

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    0 5 10 15 20 25 30 35

    Resi

    denc

    e tim

    e (s

    ec.)

    Riser height (m)

    Vapor residence time

    Catalyst residence time

  • Chapter Four Results and discussion

    34

    Figure 4.10 Gas phase void fraction vs. riser height

    Figure 4.11Predicted catalyst activity along the riser height

    0.7

    0.75

    0.8

    0.85

    0.9

    0.95

    1

    0 5 10 15 20 25 30 35

    εg

    Riser Height (m)

    Present Model

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    0 5 10 15 20 25 30 35

    ϕ

    Riser Height (m)

    Present Model

  • Chapter Four Results and discussion

    35

    Figure 4.12 shows the maximum gasoline yield occurs at 82.4wt% of feed

    conversion; this conversion located at 31.65 m of riser height (Figure 4.13),

    it agrees well with the riser size of a commercial FCC unit.

    Figure 4.12 Gasoline yield vs. feed conversion

    Figure 4.13 Feed conversion vs. riser height

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0 20 40 60 80 100

    Gas

    olin

    e yi

    eld

    (wt f

    ract

    ion)

    feed

    Conversion (wt %)

    Present Model

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    0 5 10 15 20 25 30 35

    Conv

    ersi

    on w

    t%

    Riser height (m)

    Present Model

  • Chapter Four Results and discussion

    36

    Table 4.3 shows a good agreement between predicted and plant data for

    the variable parameters with acceptable deviation percentages; while

    Table4.4 shows the case study results.

    Table 4.3 Model predicted and Plant data comparison

    Variable parameter Model prediction value Plant data % dev.

    MxR chamber temperature (K) 912.74 912 0.081 Riser inlet temperature (K) 833.99 834 -0.0012 Light gases yield (kg/s) 14.0844 14.65 - 3.86 Gasoline yield (kg/s) 25.6186 25.7 - 0.32 Unconverted VGO yield (kg/s) 8.94922 8.9 - 0.55 Coke yield (kg/s) 2.54777 2.56 - 0.48 Riser outlet temperature (K) 802.888 802 0.11 Riser outlet pressure (kPa) 228.747 228.81 0.027 Gas phase outlet MW (kg/kmole) 71.656 72.6 -1.3

    Gas phase outlet density (kg/m3) 2.457 2.43 1.11

    Gas phase outlet mass rate (kg/s) 50.9562 51 -0.086

    Table 4.4 Case study results

    Unit variable value

    Efficiency 60.6 Selectivity 1.54 Delta Coke 1.2 C/O ratio 6.09

    WHSV (hr-1) 77.44 ∆H combustion of coke (kJ/kg coke) 80459.8

  • CHAPTER FIVE

    CONCLUSION

    AND

    RECOMMENDATION

  • Chapter Five Conclusions and Recommendations

    38

    5.1. CONCLUSIONS In the present work a mathematical model has been developed for the

    riser reactor of new reactor/regenerator configuration designed by UOP.

    Based on the results of present study, the following conclusions can be

    derived:

    • The formulated energy balance equation (3.31) for calculation of

    the mixing temperature (Tmix1) at MxR chamber considers the effect

    of coke content for both regenerated and circulated carbonized

    catalysts, making the model flexible and more predictive.

    • The developed procedure for calculation of the riser inlet mixing

    temperature (Tmix2) depends on defining specific gravity and Kuop

    property of the feed into the energy balance equation (3.33). This

    approach is more predictive than defining heat capacity, normal

    boiling point and heat of vaporization of the feed which has adopted

    by many others.

    • Considering the small quantity of the steam with hydrocarbons

    inside the riser converges the model results to better values,

    especially when calculating the gas phase molecular weight, where

    the deviation percentage was reduced from 16% to -1.3%.

  • Chapter Five Conclusions and Recommendations

    39

    5.2. RECOMMENDATIONS FOR FUTURE WORK:

    The following suggestions for future work can be considered:

    • Using CFD to visualize the unit performance in order to improve

    design of internals.

    • Developing the model to include the cyclone, VSS, and regenerator

    performance as well.

    • Developing the model using more lumps for kinetics, multi-

    dimensions for the riser, and multi-phase system.

    • Developing the model to taking account the friction effects between

    phases with the wall of the riser and between phases itself.

    • Study the effect of change of any operating conditions variables on

    unit performance, i.e. feed temperature, feed type and C/O ratio.

  • Appendix A FCC technologies

    A-1

    APPENDIX A

    A-1. Fluidized Catalytic Cracking Technologies

    There are number of different proprietary designs that have been

    developed for modern FCC units. Each design is available under a license that

    must be purchased from the design developer by any petroleum refining

    company desiring to construct and operate an FCC of a given design.

    Basically, there are two different configurations for an FCC unit: the "stacked"

    type, where the reactor and the catalyst regenerator are contained in a single

    vessel with the reactor above the regenerator Figure A-1a, and "side-by-side"

    type, where the reactor and catalyst regenerator are in two separate vessels

    Figure A-1b. The major FCC designers and licensors are: [2, 42]

    A- Stacked configuration:

    • Kellogg Brown & Root (KBR)

    B- Side-by-side configuration:

    • CB&I Lummus

    • Stone & Webster Engineering Corporation (The Shaw Group) /

    Institut Francais Petrole (IFP)

    • Shell Global Solutions International

    • ExxonMobil Research and Engineering (EMRE)

    • Universal Oil Products (UOP) - currently fully owned subsidiary

    of Honeywell

  • Appendix A FCC technologies

    A-2

    Figure A-1a Stacked Reactor regenerator configuration [43]

    Figure A-1b Side by side Reactor regenerator configuration [43]

  • Appendix A FCC technologies

    A-3

    These two different configurations can be classified into small scale and

    large scale units as follows:

    • A “stacked” configuration of the reactor and regenerator, generally

    applicable to small scale units processing less than 20,000 BPSD.

    This was used for the small scale unit, with a feed rate of 2,500

    BPSD.

    • A “side-by-side” configuration of the reactor and regenerator,

    generally applicable to large scale units processing 20,000 or more

    barrels per stream day of fresh feed. This was used for the large

    scale unit, with a feed rate of 62,000 barrels per stream day (BPSD).

    In general, all the major licensors agree that the “stacked” design requires

    less plot space and less structural steel, thus lowering the installed cost. As

    capacity increases, the vessel sizes also increase to a point where structural

    cost exceeds this advantage. As a rule of thumb, a capacity of 20,000 BPSD is

    the cut-off size where “side-by-side” design becomes more economical than

    “stacked” design, according to UOP. There are other factors that affect the

    cost/BPSD for the same capacity and thus affect the selection of the FCC

    configuration. These factors include location, available land space, and local

    building codes.

    Over the years, with improvements in technology and increasing gasoline

    demand, most of the refiners have modified their FCC units to increase

    capacity. Several FCC units have been revamped to process more than

    100,000 BPSD. According to the major licensors, the typical capacity of new

    FCC units is 40,000 to 60,000 BPSD.

  • Appendix A FCC technologies

    A-4

    Less vendor detail and previous design information was available for

    estimation of the small scale FCC. In general, small scale FCC units are no

    longer economic, and very few units under 20,000 BPSD are being built

    today[43].

    A-2. New designs for FCC units

    The theory behind the design of any FCC unit configurations is the

    same, unless the variations of design by the licensors, the component that

    make up the FCC unit are the same: the riser, reactor, and regenerator [43].

    A brief description of new technologies and advanced features identified by

    each licensor is describing below.

    A-2.1. KBR and ExxonMobil

    Feed enters through the proprietary ATOMAX-2™ feed injection

    system, (Figure A-2). Reaction vapors pass through a right angle turn and are

    quickly separated from the catalyst in a positive pressure CLOSED

    CYCLONE system which minimizes dry gas make and increases gasoline

    yield. Spent catalyst flows to the regenerator through a stripper equipped with

    DYNAFLUX™ baffles technology, featuring proprietary FLUX Tubes™ and

    Lateral Mixing Elements™ which Reduces entrained hydrocarbons by 80

    percent compared to conventional stripper designs and may achieve six

    percent or less hydrogen in the coke.

    REGENMAX™ Provides staged regeneration in a simple, single regenerator

    vessel where counter-current flow of catalyst and air contacting is carried out;

    spent catalyst is evenly distributed across the top of the regenerator bed,

    causing a chemical reaction 2C + 2NO → 2CO + N2 , only 5 to 7 percent of the nitrogen in the coke escapes as NOx.

  • Appendix A FCC technologies

    A-5

    Figure A-2 KBR’s counter-current regeneration design [46]

    Catalyst flow from the regenerator to the external vertical riser is controlled by

    riser outlet temperature, which regulates the regenerated catalyst slide valve.

    A plug valve located in the regenerator bottom head controls the level in the

    stripper by regulating the catalyst flow from the spent catalyst standpipe.

    Flue gas flows to an external plenum and then to the flue-gas system.

    A Cyclofines Third Stage Separator (TSS) may be used to remove particulates

    from the flue gas for protection of power recovery expander and/or

    compliance with particulate emissions standards, where TSS is capable to

    achieve less than 50 mg/Nm3 particulates in flue gas [44, 45].

  • Appendix A FCC technologies

    A-6

    Riser Quench Technology consists of a series of nozzles uniformly spaced

    around the upper section of riser. A portion of the feed or a recycle stream

    from the main fractionator is injected through the nozzles into the riser to

    rapidly reduce the temperature of the riser contents. The heat required to

    vaporize the quench is supplied by increased fresh feed preheat or by

    increased catalyst circulation. This effectively increases the temperature in the

    lower section of the riser above that which would be achieved in a

    nonquenched operation, thereby increasing the vaporization of heavy feeds,

    increasing gasoline yield, olefin production, and gasoline octane [1].

    The process features developed by KBR & ExxonMobil for FCCU and its

    advantages are tabulated in Table A-1.

    Table A-1

    KBR & ExxonMobil FCCU Technologies [45] Process features Process benefits

    ATOMAX-2™ Feed Nozzles Produces 43 percent smaller droplet size than the leading industry ATOMAX-1™ nozzles

    Riser Quench Technology Improves gasoline yield and octane, and prevents over-cracking that result in undesirable products

    Closed Cyclone Riser Termination

    Minimizes dry gas make and increases gasoline yield using a simple compact cyclone system

    DynaFlux™ Stripping baffles Lower regenerator temperature, increase catalyst circulation and higher conversion.

    REGENMAX™ Reduces regenerator emissions and entrainment and provides clean catalyst burning under partial CO combustion at minimum investment

    MAXOFIN™ Offers the ability to adjust propylene yield, propylene/ethylene ratio and olefins/ liquid fuels ratio as market conditions demand

  • Appendix A FCC technologies

    A-7

    A-2.2. LUMMUS, a CB&I company

    The Lummus process incorporates an advanced reaction system, high-

    efficient catalyst stripper and a mechanically robust, single stage fast fluidized

    bed regenerator. Oil is injected into the base of the riser via proprietary

    MICRO-Jet injection nozzles. Catalyst and oil vapor flow upwards through a

    short-contacting time, all vertical riser where raw oil feedstock is cracked

    under optimum conditions (Figure A-3).

    Reaction products exiting the riser are separated from the spent catalyst in a

    patented, DIRECT-COUPLED cyclone system. Product vapors are routed

    directly to fractionation, thereby eliminating nonselective post-riser cracking

    reactions and maintaining the optimum product yield slate. Spent catalyst

    containing only minute quantities of hydrocarbons is discharged from the

    diplegs of the direct-coupled cyclones into the cyclone containing vessel. The

    catalyst flows down into the stripper containing proprietary MODULAR

    GRID (MG) baffles.

    Figure A-3 Lummus FCCU Process Flow Diagram [47]

  • Appendix A FCC technologies

    A-8

    Trace hydrocarbons entrained with spent catalyst are removed in the MG

    stripper using stripping steam. The MG stripper efficiently removes

    hydrocarbons at low steam rate. The net stripper vapors are routed to the

    fractionators via specially designed vents in the direct-coupled cyclones.

    Table A-2 LUMMUS FCCU Technologies [47]

    Process Features Process Benefits Micro-Jet™ feed injectors • Uniformly contact feed with catalyst

    • Minimal erosion and catalyst attrition • Low pressure drop

    Short contact time riser reactor • Minimal back-mixing • Efficient catalyst/oil contacting

    Patented direct-coupled cyclones at the end of the riser reactor for quick and efficient recovery of product vapors

    • Minimal after- cracking • Low dry gas yield and delta coke • Minimal hydrocarbon loading in the

    stripper Modular Grid (MG) catalyst stripper design

    • Highly efficient removal of hydrocarbon product vapors from the catalyst

    • Reduced delta coke • Low stripping steam requirement

    Dual diameter catalyst regenerator and turbulent bed combustion

    • Low carbon on regenerated catalyst • Efficient use of combustion air • Reduced after-burning and NOx

    emissions Regenerated catalyst standpipe with external hopper

    • Smooth, stable catalyst flow over a wide operating range

    • Insensitive to unit upsets Spent catalyst square-bend transfer line and distribution of spent catalyst into the center of the regenerator

    • Improved slide valve pressure differentials

    • Lower catalyst hydrothermal deactivation

    • Stable spent catalyst flow • Lower capital and operating cost

  • Appendix A FCC technologies

    A-9

    Catalyst from the stripper flows down the spent catalyst standpipe and through

    the slide valve. The spent catalyst is then transported in dilute phase to the

    center of the regenerator through a unique square bend spent catalyst transfer

    line. This arrangement provides the lowest overall unit elevation. Catalyst is

    regenerated by efficient contacting with air for complete combustion of coke.

    The resulting flue gas exits via cyclones to energy recovery/flue gas treating.

    The hot regenerated catalyst is withdrawn via an external withdrawal well.

    The well allows independent optimization of catalyst density in the

    regenerated catalyst standpipe. Maximizes slide valve pressure drop and

    ensures stable catalyst flow back to the riser feed injection zone [44].

    The process features developed by Lummus for FCCU and its advantages are

    tabulated in Table A-2.

    A-2.3. Stone & Webster Engineering Corporation (The Shaw Group)/

    AXENS, Institut Francais Petrole (The IFP Group)

    Catalytic and selective cracking in a short contact time riser where oil

    feed is effectively dispersed and vaporized through a proprietary feed

    infection system. Operation is carried out at a temperature consistent with

    targeted yields. The riser temperature profile can be optimized with the

    proprietary Mixed Temperature Control (MTC) system, (Figure A-5).

    Reaction products exit the riser reactor through a high efficiency, close-

    coupled, proprietary riser termination device RSS (Riser Separator Stripper).

    Spent catalyst is pre-stripped followed by an advanced high-efficiency packed

    stripper prior to regeneration, (Figure A-4). The reaction product vapor may

    be quenched to give the lowest possible dry gas and maximum gasoline yield.

  • Appendix A FCC technologies

    A-10

    Figure A-4 S&W / IFP FCCU design [48]

    Final recovery of catalyst particles occurs in cyclones before the product

    vapor is transferred to the fractionation section.

    Catalyst regeneration is carried out in a single regenerator equipped with

    proprietary air and catalyst distribution systems, and may be operated for

    either full or partial CO combustion.

    RSS

    Packed stripper

    Riser Separator Stripper

  • Appendix A FCC technologies

    A-11

    Figure A-5 Mix zone temperature control (left), Feed injection nozzle (right) [49]

    Table A-3 S&W / IFP FCCU Technologies [1, 49]

    Process Features Process Benefits Feed Injection • Primary Atomization: oil impact on target, Steam cross

    shearing. • Secondary Atomization: Filamenting in barrel, spry

    shaped by tip Mix zone Temperature Control (MTC)

    • Provide an independent control of the mix temperature • Achieve a high mix-zone temperature and lower riser

    temperature Riser Termination • Rapid separation of products and catalyst

    • Compact design • Easy start-up and operation • Reduces dry gas • Reduces coke • Sealed or open operation

    Packed stripper • 95% of the whole area is open to flow • Increased catalyst circulation rate and capacity • Stripping is more effective • Robust construction

    Cold wall design • Allows the use of carbon steel for construction • Reduces the skin temperatures • Less thermal expansion of the components • Minimizing the need for expansion joints • Minimum capital investment

  • Appendix A FCC technologies

    A-12

    The internals of the vessels and transfer lines are covered in insulating and

    abrasion resistant refractory, Stone & Webester developed this technology to

    make high temperature, high Olefins FCC a reality.

    Reliable operation is ensured through the use of advanced fluidization

    technology combined with a proprietary reaction system. Unit design is

    tailored to the refiner’s needs and can include wide turndown flexibility [44].

    The process features developed by Stone & Webster / IFP for FCCU and its

    advantages are tabulated in Table A-3.

    A-2.4. SHELL Global Solution International B.V

    Shell’s high-performance feed nozzle system feeds hydrocarbons to a short

    contact-time riser. This design ensures good mixing and rapid vaporization

    into the hot catalyst stream (Figure A-6).

    Cracking selectivity is enhanced by the feed nozzles (Figure A-7) and

    proprietary riser internals, which reduce catalyst back mixing while reducing

    overall riser pressure drop.

    Riser termination design incorporates reliable close-couple cyclones that

    provide rapid catalyst/hydrocarbon separation. It minimizes post-riser cracking

    and maximizes desired product yields, with no slurry clean up required.

    Stripping begins in the staged stripper, equipped with high capacity baffle

    structure, (Figure 2.7).

  • Appendix A FCC technologies

    A-13

    Figure A-6 Shell’s FCCU design [44]

    A single stage partial or full burn regenerator delivers excellent performance

    at low cost. Proprietary internals are used at the catalyst inlet to disperse

    catalyst, and the catalyst outlet to provide significant catalyst circulation

    enhancement. Catalyst coolers can be added for more feedstock flexibility.

    Cyclone systems in the reactor and regenerator use a proprietary design, thus

    providing reliability, efficiency and robustness. Flue gas cleanup can be

    incorporated with Shell’s third-stage separator [44], (Figure A-6).

    The process features developed by Shell Global Solutions for FCC unit and its

    advantages are tabulated in Table A-4.

  • Appendix A FCC technologies

    A-14

    Figure A-7 PentaFlow Packing (left), Feed nozzels configurations (right)[50]

    Table A-4

    Shell’s FCCU Technologies [51]

    Process Features Process Benefits Feed injection system • Good riser coverage and mixing with the

    catalyst. Resulting higher gasoline yields, less dry gas, lower steam consumption and reduced pressure requirements

    Riser internals • improves catalyst distribution and reduces spent catalyst reflux, which minimizes nonselective thermal cracking

    Close-coupled reactor cyclones with coke catcher

    • providing high separation efficiency, minimizes post-riser cracking and reactor vessel coking

    High-efficiency stripper • PentaFlow stripper packing removes up to 95% of hydrocarbons, open design prevents plugging, enhances catalyst flux and facilitates access for maintenance.

    Catalyst circulation enhancement technology

    • Improves circulation rates by up to 50% and is applicable to both the stripper and the regenerator standpipes; it improves stability and pressure build-up by optimizing the catalyst condition near the inlets.

    Third-stage separator (TSS) technology

    • Reduces flue gas particulate emissions to less than 50 mg/Nm3. It also protects the flue gas system from erosion

  • Appendix A FCC technologies

    A-15

    A-2.5. Universal Oil Products UOP

    UOP’s process (Figure A-8) uses a side by side reactor/regenerator

    configuration and a patented pre-acceleration zone to condition the

    regenerated catalyst. Modern OPTIMIX feed distributors inject the feed into

    the riser, which terminates in a vortex separation system (VSS). A high

    efficiency stripper then separates the remaining hydrocarbons from the

    catalyst, which is then reactivated in a combustor style regenerator, with

    RxCat technology, a portion of the catalyst that is pre-stripped by the riser

    termination device can be recycled back to the riser via a standpipe and the

    MxR chamber.

    The reactor zone features a short contact time riser, state of the art riser

    termination device for quick separation of catalyst and vapor, with high

    hydrocarbon containment (VSS/VDS technology) and RxCat technology,

    wherein a portion of the pre-stripped (carbonized) catalyst from the riser

    termination device is blended with the hotter regenerated catalyst in a

    proprietary mixing chamber (MxR) for delivery to the riser.

    With this technology, the reactor temperature can be lowered to reduce

    thermal cracking with no negative impact on conversion, thus improving

    product selectivity. The ability to vary the carbonized/regenerated catalyst

    ratio provides considerable flexibility to handle changes in feedstock quality

    and shortens the time for operating adjustments by enabling rapid switches

    between gasoline, olefins or distillate operating modes. Since coke yield can

    be decreased at constant conversion, capacity and reaction severity can be

    increased, and CO2 emissions reduced. Furthermore, because the catalyst

    delivered to the regenerator has a higher coke content, it requires less excess

    oxygen at a given temperature to sustain the same kinetic combustion rate.

  • Appendix A FCC technologies

    A-16

    Figure A-8 UOP’s reactor/regenerator FCCU design [31]

    The combustor style regenerator burns coke in a fast-fluidized environment

    completely to CO2 with very low levels of CO.

    UOP also offers two process technologies for maximizing propylene from

    feedstocks traditionally processed in FCC units. The PetroFCC and RxPro

    processes are specifically designed to meet increased propylene production

    requirements but are flexible to also operate in maximum gasoline mode, if

    required.

  • Appendix A FCC technologies

    A-17

    Both processes utilize commercially proven technology and mechanical

    features found in a conventional UOP FCC design, but are operated at process

    conditions that promote light olefin and/or aromatics production for

    petrochemical applications. The commercially-proven PetroFCC technology

    provides a cost-effective means for producing moderate quantities of

    propylene from moderate quality feedstocks. the newest entry to the enhanced

    propylene platform at UOP, the RxPro process, employs a multi-stage reaction

    system with targeted olefin recracking to achieve a highest yield of propylene

    (>20 wt% FF) for a given reaction severity and feedstock quality[1, 44].

  • Appendix B Variables of FCC units

    B-1

    APPENDIX B

    VARIABLES OF FCC UNITS

    B-1. FCC unit Feedstocks and Products

    Modern FCC units can take a wide variety of feedstocks and can adjust

    operating conditions to maximize production of gasoline, middle distillate

    (LCO) or light olefins to meet different market demands. [42]

    The FCC unit is also an important source of butene and pentene olefins used

    in refinery processes such as the alkylation unit. [44]

    B-1.1. Feedstocks

    The main feedstock used in FCC unit is the Gas Oil boiling between

    316oC and 566 oC (600 oF and 1050 oF). FCC unit can accept a broad range of

    gas oil feedstocks such as: [1]

    v Atmospheric gas oils.

    v Vacuum gas oils.

    v Coker gas oils.

    v Thermally cracked gas oils

    v Solvent deasphalted oils

    v Lube extracts

    v Hydrocracker bottoms

    These gas oils can be considered mixtures of aromatic, naphthanic and

    paraffinic molecules. There are also varying amounts of contaminants such as

    sulphur, nitrogen and metals, particularly in the higher boiling fractions. These

    differences in feed composition and in contaminants affect the operating

    conditions required to obtain desired yields. To protect the catalyst, feed pre-

    treatment by hydrotreating is required in order to remove contaminants and

    improve cracking characteristics and yields.

  • Appendix B Variables of FCC units

    B-2

    The principal limitation on charge stocks are the Conradson Carbon Residue

    (CCR) and metal contaminants. The effect of Conradson carbon is to form a

    deposit on the catalyst and reduce catalyst activity, promote coke and

    hydrogen formation. [33]

    Paraffinic atmospheric and vacuum gas oils takes as charge stocks because it's

    more easily cracked in the catalytic cracker. [42]

    Feedstocks can be ranked in terms of their Crackability, or easily to convert in

    FCC unit. Crackability is a function of the relative proportion