W. C Chin - Computational Rheology for Pipeline and Annular Flow.pdf - mechanika płynów - seithe

Computational Rheology for Pipeline and

Annular Flow

by Wilson C. Chin, Ph.D.

Boston Oxford Auckland Johannesburg Melbourne New Delhi

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Library of Congress Cataloging-in-Publication Data

Chin, Wilson C.

Computational rheology for pipline and annular flow/ by Wilson C. Chin.

p. cm. Includes index

ISBN 0-88415-320-7 (alk. Paper)

1. Oil well drilling 2. Petroleum pipleines--fluid dynamics--mathematical models

3. Wells--fluid dynamics--mathematical models. I. Title.

TN871.C49535 2000

622'.3382--dc21 00-06176

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10 9 8 7 6 5 4 3 2 1

- Dedication -

To:

Mark A. Proett,

Friend and Colleague

Contents

Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi

1. Introduction: Basic Principles and Applications . . . . . . . 1

Why Study Rheology?, 5

Review of Analytical Results, 7

Overview of Annular Flow, 11

Review of Prior Annular Models, 13

The New Computational Models, 14

Practical Applications, 17

Philosophy of Numerical Modeling, 20

References, 22

2. Eccentric, Nonrotating, Annular Flow . . . . . . . . . . . . . . . 25

Theory and Mathematical Formulation, 26

Boundary Conforming Grid Generation, 33

Numerical Finite Difference Solution, 35

Detailed Calculated Results, 37

Example 1. Fully Concentric Annular Flow, 37

Example 2. Concentric Pipe and Borehole in the

Presence of a Cuttings Bed, 43

Example 3. Highly Eccentric Circular Pipe and

Borehole, 48

Example 4. Square Drill Collar in a Circular Hole, 50

Example 5. Small Hole, Bingham Plastic Model, 52

Example 6. Small Hole, Power Law Fluid, 57

Example 7. Large Hole, Bingham Plastic, 59

Example 8. Large Hole, Power Law Fluid, 61

Example 9. Large Hole with Cuttings Bed, 65

References, 68

vii

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