numerical and analytical solution for natural gas production from methane hydrate dissociation

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Numerical and analytical solution for natural gas production from methane hydrate dissociation By: Behzad Hosseinzadeh

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Numerical and analytical solution for natural gas production

from methane hydrate dissociation

By:

Behzad Hosseinzadeh

Introduction

Definition of the Natural Gas Hydrates

Where they can be found

Hydrate dissociation conditions

The problem of hydrate dissociation

2

+

1m3

164m3

0.8m3

STP

Introduction

The problem of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

The problem of hydrate dissociation

hydrate dissociation → gasification of the drilling fluid → loweringof mud density → changes mud rheology → lowering hydrostaticpressure → further dissociation → wellbore enlargement andwellbore collapse

hydrate dissociation → change of mechanical and petrophysicalproperties of the sediment → increase in permeability →reduction in strength of the sediments

3

Introduction

The problem of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

Some of the techniques adopted so far to avoid the risks of drilling in HBS

1. Cooling the drilling fluid

2. Increasing the mud weight

3. Adding chemical inhibitors and kinetic additives to the drilling fluid

4. Accelerating drilling by running casing immediately after hydrate areencountered and using a cement of high strength and low heat ofhydration

4

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

Production techniques

1. Thermal Injection

2. Inhibitors

3. Depressurisation

5

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

Review of Hydrate Reservoir Simulation Models

6

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

Santanu Khataniar

1. Hydrate dissociation occurs as soon as the reservoir pressure drops below the dissociation pressure for the hydrate at the reservoir pressure. The gas flows immediately to the free gas zone.

2. Hydrate decomposition is proportional to depressurization rate, and follows a first order kinetic model.

3. Rock and water expansion during gas production are negligible.

4. The model neglects heat transfer between reservoir and surroundings.

5. The reservoir is produced from a single well located at the center.

Analytical Model

7

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

Hydrate zone

Free gas zone

Analytical Model

8

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

for a closed system, the total volumetric change must be zero

using mass balance principles

GHi , GHr = initial and remaining gas in the form of hydrate, BgH = reservoir hydrate volumetric factor ,φ= reservoir porosity, SWi = initial water saturation , ∆hH = change in hydrate zone thickness, Gfi , Gp , GeH = initial free gas, total gas production and gas produced from hydrate ,Bgi , Bg = reservoir gas volumetric factor, Wp , WeH = total water production and water produced from hydrate dissociation, hg = gas zone thickness

After substitution , we have

Analytical Model

9

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

The volumes of initial free gas and initial gas in the form of hydrates (hydrated gas) in place are given by:

The ratio of initial free gas volume to initial hydrate volume is:

then

The water production rate is given by:

The pressure derivative respect to time isobtained from material balance equation

as:

Analytical Model

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

This is done by using the approximation:

Z-factor is also pressure-dependent, and can be estimated using the Hall-Yarborough equation

Results of analytical

11

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

1. The gas hydrate in our assumed simulation is SI type, without the salt consideration;

2. Two-phase flow accords with Darcy’s law, and hydrate is stagnant in porous media;

3. The absolute permeability of porous media is the function of hydrate saturation;

4. The generated gas does not dissolve in water, and without hydrate reformation;

5. The diffusion and the dispersion are neglected in mass transportation;

6. There is no ice phase during the whole dissociation;

7. isothermal hydrate

8. the hydrate-bearing sediments are rigid and do not deform during hydrate dissociation.

Numerical Model

12

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

Model

13

Infiltration equation Initial conditions

Supplemental formula

Auxiliary equation

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

Results

14

Introduction The problem

of hydrate dissociation

Some of the techniques

Production techniques

Review

Analytical Model

Results of analytical

Numerical Model

Results of numerical

15