pipeline research council confidential international, inc

Post on 17-Oct-2021

6 Views

Category:

Documents

0 Downloads

Preview:

Click to see full reader

TRANSCRIPT

PRCI EC-2-9 (2019)

Peer Review of the Plausible Profiles (Psqr)

Corrosion Assessment Model

Pipeline Research Council

International, Inc.

Shahani Kariyawasam, Shenwei Zhang

Jason Yan

Terry Huang

Mohammad Al-Amin

Erwin Gamboa

San Diego

October 24, 2018

Confidential

2

PRCI 2019 project: EC-2-9 – Peer Review of the Plausible

Profiles (Psqr) Corrosion Assessment Model

Objectives

o Peer review and vet the Psqr model developed by TransCanada(TC)

o Share method and benefits – common goals of safety & optimization

o Provide mainstream methodology for industry

Execution plan

oConduct PRCI workshops with related SMEs, with options of

➢Workshop #1- June 20th 2018 at PRCI TDC in Houston

➢Workshop #2- September 26th 2018 in Calgary (during the IPC tutorial time)

oObtain peer reviewed report with feedback from official reviewers

➢John Kiefner, Michael Rosenfeld, Ming Gao/Ravi Krishnamurthy, Phil

Hopkins, Andrew Cosham and Maher Nessim

Confidential

3Roles and Responsibilities

Time Role and Responsibilities

Before

workshops

▪ Reviewers will be contacted by John Kiefner

▪ Reviewers and PRCI member participants will be provided with a pre-

read

At the

workshops

▪ TC presents model to invited expert reviewers and PRCI members

▪ TC discusses safety aspects, cost benefit, applicability etc.

▪ Reviewers & PRCI members participate in workshop

▪ All – discuss, provide constructive feedback

After

workshops

▪ Reviewers review technical report

▪ Reviewers’ comments and feedback provided to John Kiefner(JK)

▪ JK collates all comments and discusses with TCPL and reviewers

▪ JK provides final report to PRCI

Confidential

4

Current Status

▪ Two workshops completed

▪ TransCanada’s technical report under review

▪ Software sharing in progress

▪ Preliminary PRCI report including collated comments by John

Kiefner completed by end of 2018

Confidential

5

Background

Confidential

6

▪ Corrosion - major integrity threat - ~70% of digs, ~80% of ILIs

▪ Key integrity decisions that use Assessment models

o ILI anomalies to excavate?

o Excavated anomalies to repair?

o Derate required?

▪ Decisions are most sensitive to

o Model error

o ILI measurement error

o Growth rates

Problem – The Challenge

Sensitiv

ity f

acto

r

Reliability factor

Confidential

7

What is a Desirable Model?

Pipeline

section

Total

number of

Clusters

Excavation decision – number of features with

FPR ≤ 1.25

B31G MB31G RSTRENG

1 23502 868 600 154

2 650 130 96 20

3 169 16 12 6Confidential

8

Learnings

▪ Learnings from operations

➢Large morphologies-caused failures but models developed on simple

clusters

➢Many excavations/derates with wide corrosion

▪ Learnings from RSTRENG Development Project

➢ river bottom profile - the worst case but not probable for wide corrosion

➢circumferential separation and strengthening due to higher WT

Confidential

9

Objective

RSTRENG is conservative for wide corrosion - gives large number of excavations

Objective:

▪ Improve the RSTRENG model for assessing large corrosion

morphologies

o reduce conservatism while improving safety

o quantify model error

Confidential

10

The Journey

Burst tests on 14 corrosion

clusters (2015)

Identified areas of conservatism

in RSTRENG

Developed Psqrmodel and software

Sensitivity studies and validation

Performed Pilot studies to see

impact

Internal and external

Technical review

Performed 16 more tests and refined (2018)

Communicate –PRCI, CEPA, IPC

(Patent pending)

Further Industry review and sharing

(PRCI project)

Confidential

11

Psqr Overview

Confidential

12

Overview of ASME B31G Models

Method Shape idealizationShape

Factor (SF)

Flow

Stress

F(YS)

M

B31G 2/3 1.1 * YS Two-term , M1

Mod. B31G 0.85dL method

0.85 YS + 10 ksi Three-term, M2

Mod. B31G eff. area method

(RSTRENG)

deff /dmax_Aeff YS + 10 ksi Three-term, M2

Confidential

13

Conservatism in Corrosion Idealization

Deep

Shallow

River bottom profile

(most aggressive but not plausible for

wide corrosion morphologies)

Plausible

profile 1

Plausible

profile 2

Plausible

profile 3

Plausible

profile…

Confidential

14

Input Required by the Model - 3D Mapping … … … … … … … … … … … … … … … … … … … … … … … … … … … …

… 12 9 8 8 10 8 7 7 4 0 0 0 6 11 16 12 12 5 9 5 2 0 0 0 0 0 …

… 16 9 8 8 9 10 10 9 6 2 1 0 9 15 21 15 17 11 12 8 5 3 4 0 0 0 …

… 16 10 8 8 9 11 11 10 9 6 7 4 15 19 23 20 22 17 15 12 8 5 6 2 0 0 …

… 16 10 8 8 9 11 11 11 11 9 10 10 19 24 27 23 26 24 18 15 13 8 7 4 0 1 …

… 17 11 9 9 11 12 12 11 11 10 10 13 20 28 31 24 27 26 21 18 16 11 7 4 0 1 …

… 18 11 11 11 13 13 12 11 11 10 11 16 21 28 31 26 27 28 23 20 18 14 10 5 3 4 …

… 18 11 15 12 14 14 14 11 11 11 11 16 22 27 31 30 28 28 25 22 20 16 12 8 5 5 …

… 18 14 18 14 15 14 15 11 13 12 13 17 23 25 29 30 30 28 28 24 22 17 12 12 6 6 …

… 16 15 18 18 17 14 15 12 13 13 14 20 23 25 27 31 33 33 33 25 25 19 16 15 11 7 …

… 14 16 17 19 17 15 15 13 14 13 15 20 26 26 27 31 39 41 42 30 26 21 20 17 13 7 …

… 14 16 17 19 17 15 15 14 15 14 15 19 26 28 28 37 44 45 47 36 30 24 23 18 14 8 …

… 14 13 16 19 16 14 14 16 15 15 16 19 26 28 28 39 48 49 54 43 36 27 26 19 14 10 …

… 12 13 15 17 13 13 14 16 15 15 16 18 25 28 28 39 48 53 58 47 41 29 26 21 16 11 …

… 10 12 13 14 12 12 13 14 14 14 16 18 24 28 30 33 47 56 60 51 45 30 27 23 17 12 …

… 7 10 10 11 10 12 13 12 12 13 12 16 22 27 30 32 44 57 60 53 48 31 27 23 17 13 …

… 4 7 9 10 9 11 12 12 11 12 11 15 20 27 29 30 41 57 58 54 49 34 26 23 17 13 …

… 4 5 8 8 7 10 12 11 10 11 10 14 18 26 29 30 39 54 57 54 49 35 26 24 17 13 …

… 2 5 4 6 7 10 11 11 6 9 9 13 17 23 27 30 36 51 53 54 48 38 27 24 17 13 …

… 2 3 3 4 6 9 10 9 5 3 5 11 18 22 26 30 32 48 51 52 48 38 28 22 18 12 …

… 1 2 2 2 4 8 9 8 4 1 1 9 18 22 26 29 31 41 47 47 45 39 27 21 18 12 …

… 1 1 2 2 3 6 7 7 3 0 0 8 18 25 26 27 28 34 41 43 39 39 26 21 18 12 …

… 0 1 1 2 3 3 4 6 1 0 0 8 18 25 26 26 27 31 34 38 34 37 23 20 18 12 …

… 0 1 1 2 2 2 3 2 0 0 0 8 18 24 26 26 27 29 28 33 30 30 21 18 14 12 …

… 0 1 0 1 0 1 1 0 0 0 0 7 16 24 26 25 26 27 25 28 27 26 18 15 12 11 …

… 0 0 0 1 0 0 0 0 0 0 0 5 15 21 26 24 26 27 24 25 26 24 18 14 11 9 …

… 0 0 0 0 0 0 0 0 0 0 2 5 13 20 24 24 26 27 24 24 23 23 17 13 11 8 …

… 0 0 0 0 0 0 0 0 0 0 2 6 13 19 22 24 26 27 24 21 21 22 17 12 11 7 …

… 0 0 0 0 0 0 0 0 0 0 5 10 14 18 21 24 26 26 24 21 19 22 16 12 9 6 …

… 0 0 0 0 0 0 0 0 0 1 7 12 15 18 21 24 24 26 24 21 18 20 14 13 9 5 …

… 0 0 0 0 0 0 0 0 0 3 8 12 15 18 21 23 21 24 22 21 17 16 13 12 9 4 …

… 0 0 0 0 0 0 0 0 0 4 9 12 14 18 20 23 21 22 20 20 16 14 12 11 8 3 …

… … … … … … … … … … … … … … … … … … … … … … … … … … … …

Longitudinal Direction (Length)

Circum

fere

ntial D

irection

(W

idth

)

Confidential

15 Plausible Profiles & Pressure Calculation

Longitudinal Direction (Length)

… … … … … … … … … … … … … … … … … … … … … … … … … … … …

… 12 9 8 8 10 8 7 7 4 0 0 0 6 11 16 12 12 5 9 5 2 0 0 0 0 0 …

… 16 9 8 8 9 10 10 9 6 2 1 0 9 15 21 15 17 11 12 8 5 3 4 0 0 0 …

… 16 10 8 8 9 11 11 10 9 6 7 4 15 19 23 20 22 17 15 12 8 5 6 2 0 0 …

… 16 10 8 8 9 11 11 11 11 9 10 10 19 24 27 23 26 24 18 15 13 8 7 4 0 1 …

… 17 11 9 9 11 12 12 11 11 10 10 13 20 28 31 24 27 26 21 18 16 11 7 4 0 1 …

… 18 11 11 11 13 13 12 11 11 10 11 16 21 28 31 26 27 28 23 20 18 14 10 5 3 4 …

… 18 11 15 12 14 14 14 11 11 11 11 16 22 27 31 30 28 28 25 22 20 16 12 8 5 5 …

… 18 14 18 14 15 14 15 11 13 12 13 17 23 25 29 30 30 28 28 24 22 17 12 12 6 6 …

… 16 15 18 18 17 14 15 12 13 13 14 20 23 25 27 31 33 33 33 25 25 19 16 15 11 7 …

… 14 16 17 19 17 15 15 13 14 13 15 20 26 26 27 31 39 41 42 30 26 21 20 17 13 7 …

… 14 16 17 19 17 15 15 14 15 14 15 19 26 28 28 37 44 45 47 36 30 24 23 18 14 8 …

… 14 13 16 19 16 14 14 16 15 15 16 19 26 28 28 39 48 49 54 43 36 27 26 19 14 10 …

… 12 13 15 17 13 13 14 16 15 15 16 18 25 28 28 39 48 53 58 47 41 29 26 21 16 11 …

… 10 12 13 14 12 12 13 14 14 14 16 18 24 28 30 33 47 56 60 51 45 30 27 23 17 12 …

… 7 10 10 11 10 12 13 12 12 13 12 16 22 27 30 32 44 57 60 53 48 31 27 23 17 13 …

… 4 7 9 10 9 11 12 12 11 12 11 15 20 27 29 30 41 57 58 54 49 34 26 23 17 13 …

… 4 5 8 8 7 10 12 11 10 11 10 14 18 26 29 30 39 54 57 54 49 35 26 24 17 13 …

… 2 5 4 6 7 10 11 11 6 9 9 13 17 23 27 30 36 51 53 54 48 38 27 24 17 13 …

… 2 3 3 4 6 9 10 9 5 3 5 11 18 22 26 30 32 48 51 52 48 38 28 22 18 12 …

… 1 2 2 2 4 8 9 8 4 1 1 9 18 22 26 29 31 41 47 47 45 39 27 21 18 12 …

… 1 1 2 2 3 6 7 7 3 0 0 8 18 25 26 27 28 34 41 43 39 39 26 21 18 12 …

… 0 1 1 2 3 3 4 6 1 0 0 8 18 25 26 26 27 31 34 38 34 37 23 20 18 12 …

… 0 1 1 2 2 2 3 2 0 0 0 8 18 24 26 26 27 29 28 33 30 30 21 18 14 12 …

… 0 1 0 1 0 1 1 0 0 0 0 7 16 24 26 25 26 27 25 28 27 26 18 15 12 11 …

… 0 0 0 1 0 0 0 0 0 0 0 5 15 21 26 24 26 27 24 25 26 24 18 14 11 9 …

… 0 0 0 0 0 0 0 0 0 0 2 5 13 20 24 24 26 27 24 24 23 23 17 13 11 8 …

… 0 0 0 0 0 0 0 0 0 0 2 6 13 19 22 24 26 27 24 21 21 22 17 12 11 7 …

… 0 0 0 0 0 0 0 0 0 0 5 10 14 18 21 24 26 26 24 21 19 22 16 12 9 6 …

… 0 0 0 0 0 0 0 0 0 1 7 12 15 18 21 24 24 26 24 21 18 20 14 13 9 5 …

… 0 0 0 0 0 0 0 0 0 3 8 12 15 18 21 23 21 24 22 21 17 16 13 12 9 4 …

… 0 0 0 0 0 0 0 0 0 4 9 12 14 18 20 23 21 22 20 20 16 14 12 11 8 3 …

… … … … … … … … … … … … … … … … … … … … … … … … … … … …

Cir

cu

mfe

ren

tia

l D

ire

cti

on

(W

idth

)

P3

Pn

Pi

P2

P1

P

PDF

Pb

tProfile 1

tProfile 2

tProfile 3

tProfile i

tProfile n

Confidential

16

Psqr Results

Confidential

17

Pressure Calculation Using Psqr Model

Effective Area

Calculation

PRESSURE

Probabilistic Distribution of Pressure

Pb

0 0 0 7 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 12 17 18 16 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 13 15 20 25 27 39 41 41 40 42 35 24 15 11 8 5 3 5 5 2 1 0 0 0 0 1 3 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 1 10 8 4 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 12 18 19 18 9 5 2 0 0 1 0 1 0 0 0 0 0 0 0 2 0 0 2 9 9 14 16 20 22 25 32 39 41 41 43 35 24 16 11 9 4 0 5 4 2 0 0 0 0 0 1 5 6 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 1 11 13 7 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 18 19 18 11 5 2 1 0 3 0 2 0 0 0 0 0 0 0 2 1 1 2 9 9 15 17 20 21 24 29 38 40 41 43 36 24 17 11 10 3 0 1 2 0 0 0 0 0 0 2 5 6 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 1 3 11 15 11 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 17 18 18 12 5 2 3 1 5 2 3 0 0 0 0 0 0 0 1 1 1 2 9 9 15 18 20 19 21 26 34 38 39 41 37 24 17 12 10 3 0 0 0 0 0 0 0 0 0 0 5 6 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 1 3 9 15 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 5 13 18 16 12 4 3 5 3 7 4 4 0 0 0 0 0 0 0 1 0 1 1 7 9 15 18 20 19 21 23 27 35 36 40 38 26 17 13 9 1 0 0 0 0 0 0 0 0 0 0 3 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 3 6 14 12 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 3 3 6 5 6 16 15 12 3 3 5 5 11 5 6 1 0 0 0 0 0 0 0 0 0 0 5 9 14 18 19 19 21 22 24 32 34 40 38 27 18 14 9 0 0 0 0 0 0 0 0 0 0 0 1 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 3 3 9 8 8 2 1 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 5 5 9 10 9 3 3 6 8 17 7 7 3 0 0 0 0 0 0 0 0 0 0 2 8 12 15 17 19 21 22 24 30 31 39 38 31 18 15 8 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 1 1 6 5 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 9 7 4 3 4 4 3 4 7 11 20 11 8 4 3 0 0 0 0 0 0 0 0 0 2 9 11 15 16 18 21 22 24 26 30 36 36 31 20 15 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 1 0 4 2 3 0 0 0 0 0 0 0 0 0 0 0 1 4 3 5 7 10 9 5 1 2 4 4 4 8 13 21 15 9 6 4 0 0 0 0 0 0 0 0 0 3 9 11 14 15 18 21 23 24 23 25 32 31 32 20 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 2 5 6 7 8 11 10 5 1 0 4 4 5 8 14 21 18 9 7 4 0 0 0 0 0 0 0 0 0 4 10 13 14 14 18 20 24 24 23 24 26 28 29 19 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 2 5 6 7 7 9 11 10 5 1 0 4 4 5 7 14 19 18 9 7 4 0 0 0 0 0 0 0 0 0 4 10 13 13 14 17 20 24 23 23 23 21 24 27 15 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 1 1 3 0 1 0 0 0 0 0 0 0 8 10 11 8 8 10 10 8 5 0 0 4 4 4 7 14 16 17 9 7 4 0 0 0 0 0 0 0 0 0 3 8 13 13 13 15 18 24 23 24 21 19 20 20 13 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 3 2 3 0 3 0 0 0 0 0 0 3 16 17 18 11 10 11 10 8 3 0 0 2 4 4 6 12 11 14 6 3 0 0 0 0 0 1 1 0 0 0 3 7 12 12 13 14 17 20 21 22 18 17 14 16 10 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 4 4 6 3 4 1 1 0 0 1 6 14 24 23 23 16 15 12 13 8 3 1 0 2 7 4 6 11 6 7 4 3 0 0 0 0 0 2 1 2 0 0 0 7 10 12 13 14 15 13 16 19 17 16 11 12 9 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 5 8 9 7 7 4 3 0 1 4 11 22 32 27 27 20 20 14 17 10 6 1 0 3 9 6 5 6 3 3 1 2 0 0 0 0 1 2 3 3 1 0 0 7 8 11 12 13 13 11 12 15 12 13 11 10 7 7 3 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 1 7 10 13 9 8 6 5 2 2 6 14 26 33 30 33 26 26 20 21 13 8 2 0 4 9 7 3 3 2 1 1 1 0 0 0 0 3 3 4 3 1 0 0 6 7 9 9 11 10 10 11 11 10 11 10 8 7 5 3 0 0 0 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 1 9 13 15 12 12 9 9 3 3 6 14 26 33 36 37 30 32 26 24 15 10 6 1 4 7 7 3 2 1 0 0 0 0 0 0 2 6 6 5 3 1 0 0 4 6 7 6 9 10 9 10 10 10 10 10 8 8 4 3 3 1 0 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 1 4 10 16 22 16 16 11 10 5 3 7 14 27 34 40 41 36 36 31 25 17 11 7 5 5 5 5 2 0 0 0 0 0 0 0 0 3 6 6 5 3 1 0 0 0 3 6 5 8 10 9 8 9 8 9 8 8 8 4 2 3 2 3 4 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 5 7 11 20 27 21 24 13 10 7 4 8 14 28 39 40 44 41 38 34 27 19 12 9 6 5 4 3 1 0 0 0 0 0 0 0 0 3 7 7 5 3 0 0 0 0 0 5 4 7 10 9 8 9 8 8 8 8 7 5 1 1 2 4 6 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

2 2 1 8 7 11 21 29 27 29 15 10 8 6 8 14 28 40 41 47 41 41 35 28 20 12 9 6 5 4 2 1 0 2 0 0 0 0 0 0 3 7 7 5 2 0 0 0 0 0 3 4 7 10 10 9 8 9 8 6 8 7 5 1 1 2 6 8 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

5 4 4 9 8 11 21 29 30 34 17 13 8 7 8 12 27 40 44 49 44 41 36 30 21 13 9 6 5 7 1 1 0 2 0 0 0 0 0 0 2 6 8 3 1 0 0 0 0 0 2 5 7 10 10 11 8 9 8 6 6 5 5 1 0 4 8 10 8 8 6 3 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

7 6 6 10 9 10 21 29 32 36 21 14 9 8 9 11 22 40 48 50 44 41 36 33 24 15 9 5 5 7 1 3 1 4 0 0 0 0 0 0 0 4 8 3 1 0 0 0 0 0 2 7 8 11 11 12 10 9 8 6 2 2 4 2 0 4 8 12 11 9 6 5 0 0 0 0 0 0 0 0 0 1 3 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

9 7 7 10 9 10 18 27 33 36 24 14 9 8 9 11 17 37 48 50 45 40 36 34 26 16 9 5 5 7 2 3 3 5 2 2 0 0 0 0 0 2 5 1 1 0 0 0 0 0 3 7 9 12 14 12 11 10 8 6 1 0 3 2 2 5 10 14 13 13 8 5 1 0 0 0 0 0 0 0 0 2 4 5 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

11 11 10 13 9 11 16 25 33 34 26 14 11 8 10 11 14 34 46 50 46 41 36 34 26 17 7 6 7 7 5 5 5 6 4 3 0 0 0 0 0 0 1 0 0 0 0 0 0 0 3 7 10 12 14 12 12 11 8 5 0 0 2 2 3 7 12 15 14 15 10 5 1 0 0 0 0 0 0 0 0 3 5 4 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

12 14 11 14 11 11 16 21 29 31 26 14 11 8 10 11 14 30 42 48 47 41 36 31 26 17 7 8 8 8 6 6 6 7 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 7 10 12 13 12 12 11 8 5 0 0 0 2 4 7 14 17 17 16 10 5 1 0 0 0 0 0 0 0 1 5 5 4 5 3 0 0 0 0 0 0 0 0 0 0 0 0 3 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

13 14 14 15 13 10 14 15 23 28 26 14 9 8 10 10 13 23 40 44 47 42 35 29 25 17 8 10 10 8 7 7 7 7 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6 10 10 12 11 11 9 8 4 0 2 0 2 4 8 16 18 19 17 12 5 2 0 0 0 0 0 0 0 1 6 5 7 5 3 0 0 0 0 0 0 0 0 0 0 0 0 3 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

15 14 15 15 13 8 10 12 18 23 23 14 9 5 8 7 12 15 35 38 44 42 35 27 23 14 10 10 10 9 8 9 7 7 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6 10 10 10 11 10 9 6 4 0 2 1 1 4 8 16 20 19 17 12 5 1 0 0 0 0 0 0 0 1 7 9 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 5 8 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

15 11 15 12 12 6 7 10 13 17 18 12 9 4 6 6 12 11 29 34 41 39 35 24 19 11 11 10 10 10 10 9 8 7 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6 8 10 10 11 10 9 6 5 0 4 3 1 3 8 15 20 20 16 11 5 1 0 0 0 0 0 0 0 1 7 11 10 5 2 1 1 0 0 0 0 0 0 0 0 0 0 5 6 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

15 11 11 8 9 5 5 7 11 11 15 10 8 2 5 6 10 10 22 27 37 35 34 22 15 11 11 12 10 11 11 8 8 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 10 10 11 10 9 7 6 0 5 4 1 3 8 12 18 20 15 10 4 3 0 0 0 0 0 0 0 1 5 11 9 5 2 2 1 0 0 0 0 0 0 0 0 0 0 5 5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

15 10 8 7 6 3 3 4 8 8 11 8 5 0 3 5 7 9 12 16 33 30 31 21 13 11 12 12 11 11 11 8 8 9 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 8 11 10 11 10 9 7 8 0 5 5 2 5 7 9 13 18 13 7 3 3 0 0 0 0 0 0 0 1 4 8 6 5 1 1 0 0 0 0 0 0 0 0 0 0 0 4 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

13 8 6 4 4 1 3 2 7 8 8 4 3 0 3 4 5 6 9 10 28 25 26 18 13 8 12 12 12 11 11 9 9 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 8 11 10 11 9 8 7 8 4 6 7 5 6 7 8 10 15 11 6 3 3 0 0 0 0 0 0 0 1 2 4 2 4 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

11 7 4 3 3 0 1 0 5 8 7 3 2 0 2 3 3 5 9 8 20 20 23 12 11 7 11 13 12 12 13 9 9 9 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 7 10 10 11 9 8 7 8 6 6 8 6 7 7 8 9 11 9 5 2 3 0 0 0 0 0 0 0 1 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

8 4 2 0 1 0 0 0 2 4 4 2 0 0 1 2 3 5 6 7 12 11 16 8 8 7 11 13 12 13 15 12 10 9 4 4 3 0 0 4 0 0 0 0 0 0 0 0 0 0 5 8 7 10 10 11 9 8 7 7 7 6 9 7 9 7 8 9 9 6 4 2 3 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

6 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 2 5 5 5 11 6 9 6 7 7 11 13 12 13 15 15 11 9 6 5 3 3 1 6 3 3 1 0 0 0 0 0 0 1 5 9 9 10 10 11 9 8 6 7 7 6 9 7 9 8 8 9 9 5 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0

4 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 3 5 2 9 5 7 5 6 8 10 13 12 14 14 15 12 9 7 6 3 4 6 7 4 5 1 2 0 0 0 0 0 1 7 9 10 10 10 11 9 8 7 7 7 6 8 8 9 9 9 8 8 4 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 5 0 0 0 0 0 0

3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 2 7 3 2 4 5 7 9 13 12 14 14 15 13 9 7 6 5 4 6 7 5 6 2 2 0 0 0 0 0 2 8 10 10 11 10 11 9 8 6 6 6 4 8 8 10 9 9 7 7 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 5 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 4 5 6 9 13 12 13 14 14 13 9 7 6 6 6 6 9 5 7 5 4 0 0 0 0 0 2 9 10 10 11 10 10 10 8 6 6 4 0 5 7 10 9 9 7 6 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 2 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 9 12 12 12 14 12 12 9 7 6 6 6 6 9 6 8 6 5 1 0 0 0 0 2 9 11 10 12 11 10 10 8 4 6 3 0 1 5 10 9 8 7 5 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 0 0 0 0 0 0 0 6 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 5 8 11 12 11 11 11 10 9 7 5 6 7 7 9 9 9 6 5 1 0 0 0 0 2 9 11 10 12 13 11 10 8 4 5 1 0 0 1 7 8 8 6 3 3 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 4 7 0 0 0 0 0 0 6 4 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 6 11 11 11 11 10 9 7 7 3 5 6 7 10 10 11 6 6 2 0 0 0 0 2 10 12 10 13 13 12 9 7 4 4 0 0 0 0 5 7 6 4 3 3 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 2 9 0 0 0 0 0 0 6 6 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 6 8 9 11 11 9 9 3 4 1 3 5 9 11 12 11 6 6 2 0 0 0 1 6 10 13 12 14 13 12 9 7 5 4 0 0 0 0 5 6 4 4 4 3 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 8 2 9 3 0 0 0 0 0 3 6 1 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 5 3 3 5 7 8 9 10 8 9 2 1 0 1 2 9 11 12 11 7 6 2 0 0 0 2 7 10 13 13 16 15 11 9 7 5 5 0 0 0 0 2 4 4 4 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 9 8 2 6 8 4 0 0 0 0 1 6 4 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 5 3 3 5 4 6 5 10 6 8 0 0 0 0 0 9 11 11 9 7 4 1 0 0 0 3 7 11 14 15 16 16 11 10 7 6 6 2 2 0 0 0 0 2 1 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 6 4 3 9 9 0 0 0 0 0 1 4 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 5 3 3 5 3 3 0 7 2 4 0 0 0 0 0 8 9 11 9 7 4 1 0 0 3 3 8 12 15 15 16 17 11 10 9 7 7 6 6 0 0 0 0 0 0 2 3 3 5 5 3 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 0 1 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 4 3 9 10 0 2 0 0 0 0 3 2 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 4 3 4 4 3 1 0 1 0 0 0 0 0 0 0 7 8 10 8 6 4 0 0 0 5 4 9 12 17 17 18 17 11 10 9 9 8 6 7 1 0 0 0 0 0 2 6 4 7 5 5 2 0 0 0 0 0 0 0 0 0 1 4 5 8 6 6 3 3 4 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 5 4 4 3 7 10 3 3 2 0 0 0 0 2 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 3 4 4 4 0 0 0 0 0 0 0 0 0 0 7 7 9 5 6 3 0 2 1 6 7 11 13 19 21 22 17 11 9 8 9 9 7 7 4 1 0 0 0 5 6 10 7 7 5 6 3 0 0 0 0 0 0 0 0 2 2 6 9 11 9 7 3 4 4 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 3 2 9 6 5 3 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 6 7 4 5 2 0 2 2 7 8 12 15 23 25 28 19 12 9 8 8 10 8 7 7 4 0 0 0 6 11 16 12 12 5 9 5 2 0 0 0 0 0 1 0 3 5 9 11 15 11 10 2 4 5 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 3 0 0 8 9 6 6 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6 4 4 4 4 6 0 0 0 0 0 0 0 0 0 0 1 3 5 3 2 0 0 3 4 7 8 13 16 23 28 29 20 16 9 8 8 9 10 10 9 6 2 1 0 9 15 21 15 17 11 12 8 5 3 4 0 0 0 2 0 5 5 12 13 20 14 12 2 4 5 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 9 8 8 1 0 0 0 0 0 0

0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 9 5 3 4 9 7 2 0 0 0 0 0 0 0 0 0 0 1 3 1 1 0 0 4 6 7 9 13 16 24 29 31 22 16 10 8 8 9 11 11 10 9 6 7 4 15 19 23 20 22 17 15 12 8 5 6 2 0 0 3 3 7 7 14 18 24 20 15 3 3 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 9 8 4 5 0 0 0 0 0

0 3 0 2 0 0 0 1 0 0 0 1 2 0 0 1 0 0 0 0 0 0 9 6 3 4 12 11 3 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 6 8 9 8 13 18 27 29 31 22 16 10 8 8 9 11 11 11 11 9 10 10 19 24 27 23 26 24 18 15 13 8 7 4 0 1 4 6 10 10 16 24 29 25 19 7 3 5 6 5 2 0 0 0 0 0 0 0 4 2 2 0 0 0 0 0 0 0 0 0 0 0 4 6 9 8 7 13 0 0 0 0 0

2 5 3 3 0 0 0 0 0 0 0 1 3 0 1 1 1 0 0 0 0 0 5 6 4 5 12 11 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 11 9 9 12 18 27 29 28 22 17 11 9 9 11 12 12 11 11 10 10 13 20 28 31 24 27 26 21 18 16 11 7 4 0 1 6 8 12 12 17 27 33 29 22 10 8 5 7 5 0 0 0 0 0 0 0 0 6 6 5 3 5 0 0 0 0 0 0 0 0 0 4 5 9 8 8 17 0 0 0 0 0

4 6 5 5 1 0 0 0 0 0 0 0 3 2 2 2 2 1 0 0 0 0 2 5 4 6 10 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 9 8 11 17 20 28 24 22 18 11 11 11 13 13 12 11 11 10 11 16 21 28 31 26 27 28 23 20 18 14 10 5 3 4 8 10 12 14 17 30 37 30 24 13 11 5 7 3 0 0 0 0 0 0 0 1 8 9 7 6 7 6 1 0 0 0 0 0 0 1 4 5 7 10 10 18 5 0 0 0 0

7 7 7 6 3 0 0 0 0 0 0 0 2 2 3 2 2 1 0 0 0 0 0 4 5 6 7 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 8 10 16 17 25 22 19 18 11 15 12 14 14 14 11 11 11 11 16 22 27 31 30 28 28 25 22 20 16 12 8 5 5 8 12 13 14 17 30 37 32 24 15 12 5 5 2 0 0 0 0 0 0 1 3 10 10 9 9 10 7 5 0 0 0 0 0 0 1 3 6 8 10 12 18 5 0 0 0 0

8 8 9 7 3 0 0 0 0 0 0 0 2 3 3 4 4 1 0 0 0 0 0 3 5 5 6 5 5 0 1 0 0 0 0 1 1 0 1 2 0 0 0 0 0 0 2 3 8 7 14 14 20 18 17 18 14 18 14 15 14 15 11 13 12 13 17 23 25 29 30 30 28 28 24 22 17 12 12 6 6 8 13 13 14 17 29 35 32 24 15 13 7 5 2 0 0 0 0 0 0 3 6 12 12 12 14 16 9 8 2 0 0 0 0 0 0 2 6 8 10 12 16 3 0 0 0 0

10 11 11 7 3 0 0 0 0 0 0 2 2 6 5 5 4 0 0 0 0 0 0 2 4 3 5 4 3 0 1 0 0 0 0 1 1 2 4 4 0 0 0 0 0 0 0 0 5 4 10 10 16 16 17 16 15 18 18 17 14 15 12 13 13 14 20 23 25 27 31 33 33 33 25 25 19 16 15 11 7 8 13 13 15 18 25 32 32 23 15 13 8 4 3 1 0 0 0 0 0 5 7 12 12 14 15 17 13 9 5 3 0 0 0 0 0 1 3 8 8 12 12 0 0 0 0 0

11 12 11 7 3 0 0 0 0 0 0 2 3 8 7 7 4 0 0 0 0 0 0 0 3 1 4 3 2 0 0 0 0 0 0 3 2 3 4 4 1 0 0 0 0 0 0 0 2 3 8 6 13 15 17 14 16 17 19 17 15 15 13 14 13 15 20 26 26 27 31 39 41 42 30 26 21 20 17 13 7 9 13 13 16 20 21 26 31 21 15 12 8 4 3 1 0 0 0 0 1 5 8 12 13 15 17 17 16 12 6 4 2 0 0 0 0 0 3 5 8 11 11 0 0 0 0 0

12 14 11 6 2 0 0 0 0 0 0 2 3 9 8 7 4 0 0 0 0 0 0 0 2 1 2 2 1 0 0 0 0 0 0 5 4 4 4 4 1 0 0 0 0 0 0 0 0 3 4 5 11 13 15 14 16 17 19 17 15 15 14 15 14 15 19 26 28 28 37 44 45 47 36 30 24 23 18 14 8 10 12 12 16 21 18 21 28 19 14 10 9 4 2 2 0 0 0 1 1 5 9 12 13 16 18 18 17 14 9 6 2 0 0 0 0 0 3 3 12 11 10 0 0 0 0 0

14 15 10 4 1 0 0 0 0 0 0 2 4 9 9 7 4 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2 8 6 5 4 4 1 0 0 0 0 0 0 0 0 1 3 4 9 11 14 14 13 16 19 16 14 14 16 15 15 16 19 26 28 28 39 48 49 54 43 36 27 26 19 14 10 10 12 12 15 20 18 17 21 15 13 8 7 4 2 2 0 3 1 5 3 7 10 14 14 20 20 18 17 16 10 7 5 0 0 0 0 0 2 3 12 13 10 0 0 0 0 0

18 16 10 2 0 0 0 0 0 0 0 2 4 8 9 6 4 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 3 3 8 8 6 4 4 3 0 0 0 0 0 0 0 0 0 3 2 6 9 12 12 13 15 17 13 13 14 16 15 15 16 18 25 28 28 39 48 53 58 47 41 29 26 21 16 11 10 12 10 11 16 17 15 15 14 12 7 4 4 1 1 0 4 5 6 7 10 10 16 18 24 21 19 18 16 11 7 5 3 0 0 0 0 1 2 5 13 9 0 0 0 0 0

22 16 9 1 0 0 0 0 0 1 0 2 4 7 7 5 5 1 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 3 5 8 10 8 5 5 4 0 0 0 0 0 0 0 0 0 0 0 4 6 9 10 12 13 14 12 12 13 14 14 14 16 18 24 28 30 33 47 56 60 51 45 30 27 23 17 12 9 11 8 9 11 14 12 12 11 10 5 3 0 0 0 0 4 5 7 10 12 11 20 21 24 22 21 18 16 11 7 5 3 0 0 0 0 1 1 2 7 7 0 0 0 0 0

23 17 8 1 0 0 0 0 0 3 1 2 4 5 5 4 5 1 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 3 5 8 10 9 5 5 4 1 0 0 0 0 0 0 0 0 0 0 2 4 5 7 10 10 11 10 12 13 12 12 13 12 16 22 27 30 32 44 57 60 53 48 31 27 23 17 13 8 8 5 7 9 12 10 10 10 7 2 3 0 0 0 0 4 6 9 11 15 14 20 23 25 24 22 19 16 12 6 5 4 0 0 0 0 0 0 1 0 2 0 0 0 0 0

23 15 8 1 0 0 0 0 2 3 4 3 4 4 4 2 5 1 1 3 3 2 2 0 0 0 0 0 0 0 0 0 0 3 5 8 10 9 7 5 4 1 0 0 0 1 0 0 0 0 0 0 0 2 3 4 7 9 10 9 11 12 12 11 12 11 15 20 27 29 30 41 57 58 54 49 34 26 23 17 13 6 7 4 5 7 9 7 8 6 4 2 1 0 0 0 0 4 8 10 11 15 15 20 24 27 26 23 19 16 13 6 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0

23 14 8 3 0 0 0 2 2 3 6 4 5 2 2 0 2 0 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 4 5 8 10 9 7 5 4 2 0 0 0 2 0 2 0 0 0 0 0 0 2 4 5 8 8 7 10 12 11 10 11 10 14 18 26 29 30 39 54 57 54 49 35 26 24 17 13 6 5 4 3 4 8 6 6 5 4 1 0 0 0 0 0 5 8 12 12 15 16 20 26 27 29 24 19 17 13 8 6 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0

24 14 8 4 0 0 1 3 4 3 6 6 5 1 1 0 0 0 2 3 3 1 1 0 0 0 0 0 0 0 0 0 0 4 5 7 9 8 7 5 4 1 0 0 1 5 2 3 1 0 0 0 0 0 1 2 5 4 6 7 10 11 11 6 9 9 13 17 23 27 30 36 51 53 54 48 38 27 24 17 13 8 3 3 2 2 5 2 4 4 3 1 0 0 0 0 0 7 9 12 13 16 17 20 26 28 29 25 19 17 13 10 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0

24 14 8 4 0 0 2 3 5 4 6 6 5 0 0 0 0 0 0 3 2 1 0 0 0 0 0 0 0 0 0 0 0 4 4 6 7 8 7 5 4 0 0 0 3 7 6 4 2 0 0 0 0 0 0 2 3 3 4 6 9 10 9 5 3 5 11 18 22 26 30 32 48 51 52 48 38 28 22 18 12 9 0 0 2 1 2 2 1 2 2 1 0 0 0 0 0 7 9 13 14 15 18 20 26 29 29 25 19 17 13 10 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0

22 10 8 3 0 0 2 4 5 6 6 6 3 0 0 0 0 0 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 6 6 6 4 3 0 0 0 3 7 8 8 3 1 0 0 0 0 0 1 2 2 2 4 8 9 8 4 1 1 9 18 22 26 29 31 41 47 47 45 39 27 21 18 12 9 0 0 1 1 2 2 1 1 1 0 0 0 0 0 0 6 9 14 15 15 18 21 27 31 30 25 19 15 13 10 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0

22 10 6 2 0 0 3 4 6 6 8 7 3 0 0 0 0 0 0 2 1 0 0 0 1 0 0 0 0 0 0 1 2 3 4 4 5 5 4 2 3 0 0 0 2 7 8 8 3 2 0 0 0 0 0 1 1 2 2 3 6 7 7 3 0 0 8 18 25 26 27 28 34 41 43 39 39 26 21 18 12 9 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 6 10 14 16 14 18 21 28 32 32 29 19 15 11 10 8 7 4 1 0 2 0 0 0 0 0 1 0 0 0 0

22 10 4 1 0 2 4 5 6 8 8 8 3 0 0 0 0 0 0 0 2 2 0 0 1 0 0 0 0 0 0 2 3 3 4 4 5 5 3 0 2 0 0 0 2 8 6 8 3 2 0 2 0 0 0 0 1 1 2 3 3 4 6 1 0 0 8 18 25 26 26 27 31 34 38 34 37 23 20 18 12 8 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 5 12 14 16 14 17 21 28 32 34 31 20 15 11 10 9 7 4 1 0 2 0 0 0 0 1 2 2 0 0 0

17 7 3 1 0 2 7 8 6 8 8 7 3 0 0 0 0 0 0 0 1 3 1 0 0 0 0 0 0 0 0 2 4 5 4 6 5 4 2 0 0 0 0 0 2 8 6 7 3 2 1 2 1 0 0 0 1 1 2 2 2 3 2 0 0 0 8 18 24 26 26 27 29 28 33 30 30 21 18 14 12 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 12 14 16 14 17 21 27 30 33 33 23 17 11 10 10 8 4 1 0 2 0 0 0 0 3 4 5 3 0 0

13 4 2 0 0 2 9 10 6 7 8 7 3 0 0 0 0 0 0 0 1 3 3 0 0 0 0 0 0 1 1 4 5 6 6 6 5 3 1 0 0 0 0 0 1 7 7 5 3 4 3 4 2 0 0 0 1 0 1 0 1 1 0 0 0 0 7 16 24 26 25 26 27 25 28 27 26 18 15 12 11 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 14 16 16 18 21 25 29 34 35 28 19 11 11 11 9 4 2 1 2 0 0 0 1 3 5 8 5 0 0

9 1 0 0 0 2 9 11 8 7 8 6 3 0 0 0 0 0 0 0 1 2 3 0 0 0 0 0 1 4 3 5 5 7 6 5 5 1 1 0 0 0 0 0 0 5 7 5 4 6 4 4 3 1 0 0 0 0 1 0 0 0 0 0 0 0 5 15 21 26 24 26 27 24 25 26 24 18 14 11 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 12 14 16 18 18 21 25 29 35 36 32 21 12 11 12 9 5 3 2 2 0 0 0 1 2 6 11 7 1 0

5 0 0 0 0 0 4 10 10 7 7 6 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 5 5 6 6 10 6 4 5 0 0 0 0 0 0 0 0 3 5 5 6 8 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 2 5 13 20 24 24 26 27 24 24 23 23 17 13 11 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 14 18 21 18 19 25 30 35 36 35 25 13 11 12 10 6 4 2 2 1 0 0 1 1 6 11 7 4 0

1 0 0 0 0 0 4 7 12 9 7 5 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 4 7 6 8 8 10 6 3 2 0 0 0 0 0 0 1 2 3 5 7 8 10 6 7 4 2 0 0 0 0 0 0 0 0 0 0 0 2 6 13 19 22 24 26 27 24 21 21 22 17 12 11 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 11 13 18 21 18 19 25 30 35 37 35 31 15 11 13 10 6 4 2 1 2 0 0 0 1 5 8 5 4 0

0 0 0 0 0 0 2 3 12 10 7 3 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 4 7 8 8 8 10 6 2 1 0 0 0 0 0 0 2 3 4 5 9 9 11 8 9 4 2 0 0 0 0 0 0 0 0 0 0 0 5 10 14 18 21 24 26 26 24 21 19 22 16 12 9 6 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 11 16 19 19 19 25 30 34 37 35 34 17 12 12 8 6 4 2 1 2 1 0 0 1 5 7 3 2 0

0 0 0 0 0 0 0 1 9 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 8 7 8 8 5 0 0 0 0 0 0 0 0 2 5 5 6 9 9 11 11 11 6 4 1 0 0 0 0 0 0 0 0 0 1 7 12 15 18 21 24 24 26 24 21 18 20 14 13 9 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 10 13 15 18 20 24 28 32 35 35 35 21 12 12 7 5 4 4 4 3 3 1 0 1 5 6 3 1 0

0 0 0 0 0 0 0 0 3 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 6 6 4 0 0 0 0 0 0 0 0 1 5 6 7 8 10 10 11 12 7 4 2 0 0 0 0 0 0 0 0 0 3 8 12 15 18 21 23 21 24 22 21 17 16 13 12 9 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 8 13 14 18 20 22 25 30 32 35 35 28 12 12 6 4 5 5 5 3 3 1 0 1 3 5 3 0 0

0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 3 1 0 0 0 0 0 0 0 0 5 6 6 7 10 10 12 14 9 4 2 0 0 0 0 0 0 0 0 0 4 9 12 14 18 20 23 21 22 20 20 16 14 12 11 8 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 11 13 18 20 22 22 28 29 35 34 32 14 11 4 4 5 5 5 4 3 0 0 0 2 3 3 1 0

0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 1 1 0 0 0 0 0 0 0 0 4 6 6 7 10 11 12 14 9 3 1 0 0 0 0 0 0 0 0 2 4 10 12 14 18 20 21 19 21 17 17 14 12 11 10 6 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 7 9 11 12 16 20 21 21 26 28 35 33 32 19 11 2 3 4 5 4 4 1 1 0 0 1 2 2 1 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 4 1 0 0 0 0 0 0 0 0 0 3 6 6 7 10 11 12 12 9 3 0 0 0 0 0 0 0 0 0 3 6 12 12 15 18 20 19 19 20 15 14 12 10 9 8 4 1 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 5 10 12 11 16 19 20 21 22 25 31 33 31 22 9 2 2 3 3 3 2 0 0 0 0 1 1 2 1 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 3 4 3 0 0 0 0 0 0 0 0 0 0 0 5 7 7 10 11 11 11 9 4 0 0 0 0 0 0 0 0 0 5 8 12 13 17 20 19 19 20 20 15 14 10 9 5 4 0 0 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 10 12 11 15 16 20 21 21 23 29 31 30 22 8 2 2 3 2 1 2 0 0 0 0 0 1 1 1 2

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 3 1 2 1 4 4 3 0 2 0 2 0 1 0 0 0 0 0 2 7 7 10 12 11 8 9 4 0 0 0 0 0 0 0 0 0 6 10 12 15 19 20 19 19 20 20 16 11 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 10 11 10 14 15 18 20 20 22 26 28 28 16 7 1 3 2 1 0 0 0 0 0 0 0 0 1 1 3

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 1 0 3 2 3 3 5 4 3 0 4 1 4 1 3 0 0 0 0 0 2 5 7 10 11 10 8 8 4 0 0 0 0 0 0 0 0 0 8 10 12 16 22 21 19 19 21 20 16 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 5 7 8 10 10 12 14 17 18 20 20 22 25 26 13 5 0 3 1 0 0 0 0 0 0 0 0 0 1 1 5

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 1 2 3 3 3 4 5 4 1 1 6 3 4 4 6 2 2 3 3 0 2 5 6 10 11 8 5 7 1 0 0 0 0 0 0 0 0 0 9 11 12 16 25 22 22 18 19 20 16 13 7 3 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 3 0 6 6 7 9 10 10 11 15 16 20 17 18 19 23 12 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 6

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 3 4 3 4 5 4 1 1 6 4 4 5 8 4 4 3 3 1 3 5 5 8 9 6 3 2 0 0 0 0 0 0 0 0 0 0 9 10 12 16 27 26 23 18 19 19 16 13 7 4 0 0 0 0 0 0 2 2 2 2 2 1 2 0 0 0 1 3 6 4 6 6 7 9 9 10 9 14 15 18 17 17 15 17 7 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 6

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 2 4 5 4 0 1 4 4 4 6 9 5 4 3 3 3 5 5 5 7 6 5 2 2 0 0 0 0 0 0 0 0 0 0 9 10 12 16 27 30 26 19 19 18 15 11 7 5 0 0 0 0 0 1 3 2 4 4 4 2 3 0 0 0 2 4 6 4 6 7 8 9 8 8 6 11 13 15 16 17 12 11 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 6

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 1 4 5 3 0 2 4 3 4 6 11 6 5 3 3 4 5 5 6 6 6 3 1 1 0 0 0 0 0 0 0 0 0 0 7 9 9 16 25 30 28 19 18 17 14 9 7 5 0 0 0 0 1 2 3 4 6 6 6 3 4 2 0 1 2 4 5 6 6 7 8 8 7 8 6 8 8 14 13 13 6 5 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 5

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 3 4 2 0 2 4 3 4 8 11 7 5 4 5 4 5 6 7 6 6 3 1 1 0 0 0 0 0 0 0 0 0 0 7 9 10 16 25 30 28 21 18 17 14 7 5 5 0 0 0 1 2 3 4 5 7 7 6 3 4 3 0 3 2 2 5 5 6 7 8 8 7 7 5 4 5 12 7 9 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 1 1 0 2 4 3 4 9 10 8 7 4 5 6 7 7 7 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 6 9 10 13 19 27 25 21 18 17 13 6 5 3 0 0 0 1 2 3 4 5 8 8 8 5 4 3 4 3 3 2 5 6 6 8 8 8 8 7 5 3 4 7 3 5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 4 4 3 4 7 7 8 9 4 5 6 7 8 7 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 6 9 10 12 14 21 22 20 17 16 13 6 5 3 0 1 0 1 1 3 4 6 9 9 9 7 4 5 4 3 3 3 5 6 6 8 9 10 9 9 6 3 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 4 3 4 5 4 7 10 5 5 5 7 9 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 6 8 9 10 13 19 19 19 16 16 12 6 4 3 2 2 0 0 0 4 5 7 9 11 9 7 4 5 5 3 4 3 4 5 6 8 8 10 11 10 7 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 4 3 4 3 2 5 8 5 5 5 7 9 7 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 5 8 9 10 12 13 16 18 15 15 11 6 4 3 3 2 0 0 0 4 5 7 9 11 9 7 4 4 4 4 4 2 4 5 5 6 7 9 11 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 3 4 2 1 4 4 5 5 5 8 9 7 4 3 3 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 10 12 12 12 15 15 15 10 5 5 4 4 1 0 0 0 3 4 7 9 9 8 6 4 4 4 4 3 2 2 5 4 5 7 9 11 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 2 1 0 3 4 4 5 6 8 9 7 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 6 7 10 12 12 12 14 14 14 9 5 5 5 4 1 0 0 0 3 3 5 7 6 6 5 4 3 2 1 3 2 2 5 4 4 7 9 10 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2

Long. direction

Circ. d

ire

ctio

n

3D measurement Input

(depth, length and width)

...Profile n

Plausible Profiles

PRSTRENG PtestConfidential

18

Evolution Map of Model Development

NG-18 Equation

(toughness-independent)

1.1 ×YS YS + 10 ksi

B31G

0.67dL Method

Mod. B31G-0.85dL

Method

0.85dL Method Effective Area Method

River Bottom Profile Plausible Profiles (Psqr)

Mod. B31G-Effective Area

MethodPsqr

SF = 0.67 SF = 0.85 SF = f(effective area)

Two-term BF Three-term BF

Parabolic Profile Arbitrary Profile

RSTRENG

Flow

stress

Bulging

Factor

Shape

Factor Confidential

19

Burst Test Results

Compared to RSTRENG, Psqr is less conservative and more

precise

Confidential

20

Model Uncertainty

▪ Model error: test-to-prediction ratio

o actual pipe properties

o laser scan: lab controlled minimized error

ParameterTest-to-prediction ratio

Psqr method RSTRENG

Mean 1.13 1.31

Std 0.07 0.10

COV (%) 5.9 8.0

▪ Psqr vs RSTRENG

o Psqr has higher accuracy and precision

compared to RSTRENG

o 14% reduction in model bias

o 30% reduction in standard deviation

Confidential

21

Benefit and Safety

Confidential

22

Case Studies

▪ Case I: 154 immediate features with FPR≤1.25

Model Number of features with FPR ≤ 1.25

RSTRENG 154

Psqr 31

80% reduction in feature excavations required

▪ Case II: 170 excavated features

Model Number of features with FPR ≤ 1.25

RSTRENG 44

Psqr 5

89% reduction in feature repairs required

Confidential

23

Expanded Case Studies

Cluster

Dataset

Total

Number

of

Features

Excavation decision – Number of Features with FPR ≤ 1.25

B31G MB31G RSTRENG Psqr

ILI Data

23502 868 600 154 31

650 130 96 20 6

169 16 12 6 4

Cluster

Dataset

Total

Number of

Features

Repair decision - Number of Features with FPR ≤ 1.25

B31G MB31G RSTRENG Psqr

Laser Scan

data

84 81 77 15 0

6 6 6 2 0

▪ ILI by different ILI vendors

▪ Field-measurements on different pipe sections

Confidential

24

Results and Impact to Operators

Major PI threat -Corrosion

Model highly

sensitive to Shape

Decisions most sensitive to Model

Decisions that drive actions

High Value creation

much less digs/repairs

More Precise and Accurate

model

Plausible profiles

Improve Shape

representation

Confidential

25

Applicability and Regulations

Confidential

26

Applicability

▪ API 5L X Grade Pipes

▪ Any corrosion clusters, greater benefit for wider corrosion

▪ The limits of RSTRENG are also applicable (e.g. maximum depth,

brittle failure)

Notes:

oILI reporting capability developed with ROSEN, Baker Hughes, and GE

(BHGE)

Confidential

27

Regulations

▪ To select the corrosion assessment method CFR 192 & 195 and CSA Z662

refer to:

▪ ASME B31G standard or methods

▪ PRCI PR3-805 report

▪ ASME B31G-2012 allows:

▪ use of a level 3 analysis based on user-defined methodology

▪ PRCI PR3-805

▪ acknowledges the limitation of RSTRENG method and discussed the idea of using

multiple profilesConfidential

28

Regulations

▪ Section 1.6 of ASME B31G-2012:

▪ “A Level 3 evaluation is a detailed analysis of a specific flaw in accordance with a user-

defined methodology, with full justification for loadings, boundary conditions, material

properties, and failure criteria. It is intended that a Level 3 evaluation be conducted by a

technical specialist having appropriate expertise in the subject of fitness-for-service

assessment.”

▪ Section 1.8 of ASME B31G-2012, also allows the use of other evaluation

methods.

▪ “Other evaluation methods may evolve or come into use which were not contemplated by

this document. It is not the intention of this document to prohibit their use, but the user of

such methods shall be able to demonstrate that the objective of a safe and reliable

assessment of metal loss can be achieved.”This is the objective of this workshop and the PRCI project

Confidential

29

Regulations

▪ PRCI PR3-805 acknowledges the limitation of RSTRENG method and

discussed the idea of using multiple profiles. Here is the excerpt from PRCI

PR3-805 regarding multiple profiles:

“A final point that must be made with regard to any type of profile

representation of metal loss is that some excess conservatism will always be

present when the deepest parts of the corrosion are not lined up along the

axis of the pipe and when deeper portions of the pitting are separated by

islands of greater remaining wall thickness. Within the present state of

technology, it is not practical to deal analytically with these variables.”

The current state of technology enables dealing with these variables and that is what Psqr achieves.

Confidential

30

Contact Information

▪ Shahani Kariyawasam

shahani_kariyawasam@transcanada.com

▪ Shenwei Zhang

shenwei_zhang@transcanada.com

▪ Jason Yan

jason_z_yan@transcanada.com

TransCanada Pipelines LtdConfidential

31

Reference

▪ V. Chauhan, J. Brister and M. Dafea. A review of methods for assessing the

remaining strength of corroded pipelines. Report prepared for US Dept. of

transportation, pipeline and hazardous materials safety administration, Report No.

6781; 2009.

▪ J. F. Kiefner and P. H. Vieth. A Modified Criterion for Evaluating the Remaining

Strength of Corroded Pipe. PRCI Report: PR-3-805, 1989.

▪ J. F. Kiefner, P. H. Vieth and I. Roytman. Continued validation of RSTRENG. PRCI

Report: PR-218-9304, 1996.

▪ B. N. Leis, X-K Zhu, and T. McGaughy. Assessment of Corrosion Model Error for

Metal-Loss Defects in Pipelines. PRCI Report: PR-185-143600, 2016

▪ S. Kariyawasam, and L. Huyse, 2012, “Providing safety-Using probabilistic or

deterministic methods”. Proceedings of the 2012 9th International Pipeline

Conference, IPC2012-90546

Confidential

32

Reference

▪ W. Zhou, C. Gong and S. Kariyawasam. Failure Pressure Ratios and Implied

Reliability Levels for Corrosion Anomalies on Gas Transmission Pipelines.

Proceedings of the 2016 11th International Pipeline Conference, IPC2016-64383,

2016

▪ A. C. Benjamin, et al. 2016 “ Interaction of Corrosion Defects in pipelines-Part 1:

Fundamentals”. International Journal of Pressure Vessels and Piping, 144, 56-62

▪ A. C. Benjamin, et al. 2016 “ Interaction of Corrosion Defects in pipelines-Part 2:

MTI JIP Database of Corroded Pipe Tests”. International Journal of Pressure Vessels

and Piping, 145, 41-59

▪ A. C. Benjamin, et al. 2007 “ Analysis of Pipeline Containing Interacting Corrosion

Defects”. Experimental Techniques, 74-82Confidential

top related