Pressure transient formation and well testing : convolution, deconvolution and nonlinear estimation / by Fikri Kuchuk, Mustafa Onur, Florian Hollaender.

Format:

Book

Author/Creator:

Kuchuk, Fikri.

Contributor:

Onur, Mustafa.

Hollaender, Florian.

Series:

Developments in petroleum science ; 57.

Developments in petroleum science ; 57

Language:

English

Subjects (All):

Hydrocarbon reservoirs--Testing.

Hydrocarbon reservoirs.

Porous materials--Permeability.

Porous materials.

Unsteady flow (Fluid dynamics).

Physical Description:

1 online resource (416 p.)

Place of Publication:

Amsterdam ; London : Elsevier Science, 2010.

Language Note:

English

Summary:

This reference presents a comprehensive description of flow through porous media and solutions to pressure diffusion problems in homogenous, layered, and heterogeneous reservoirs. It covers the fundamentals of interpretation techniques for formation tester pressure gradients, and pretests, multiprobe and packer pressure transient tests, including derivative, convolution, and pressure-rate and pressure-pressure deconvolution. Emphasis is placed on the maximum likelihood method that enables one to estimate error variances in pressure data along with the unknown formation parameters.<

Contents:

Front cover; Half title page; Previous volume contents; Title page; Copyright page; Dedication; Contents; Preface; Introduction; Nomenclature; Chapter 1. Formation and Well Testing Hardware and Test Types; 1.1. Testing Hardware; 1.2. Pressure Transient Test Types; Chapter 2. Mathematical Preliminaries and Flow Regimes; 2.1. Introduction; 2.2. Point-Source Solutions; 2.3. Line-Source Solutions; 2.4. Skin Factor; 2.5. Wellbore Storage; 2.6. Flow Regime Identification; Chapter 3. Convolution; 3.1. Introduction; 3.2. Convolution Integral; 3.3. Discrete Convolution

3.4. Duhamel's (Superposition) Theorem and Pressure-Rate Convolution3.5. Wellbore Pressure for Certain Variable Sandface Flow-Rate Schedules; 3.6. Logarithmic Convolution (Superposition or Multirate) Analysis; 3.7. Rate-Pressure Convolution; 3.8. Pressure-Pressure Convolution; Chapter 4. Deconvolution; 4.1. Introduction; 4.2. Analytical Deconvolutions; 4.3. Discrete Numerical Deconvolution without Measurement Noise; 4.4. Deconvolution with Constraints; 4.5. Nonlinear Least-Squares Pressure-Rate Deconvolution; 4.6. Practicalities of Deconvolution; 4.7. Pressure-Rate Deconvolution Examples

4.8. Pressure-Pressure ( p - p ) Deconvolution4.9. Pressure-Pressure Deconvolution Examples; Chapter 5. Nonlinear Parameter Estimation; 5.1. Introduction; 5.2. Parameter Estimation Problem for Pressure-Transient Test Interpretation; 5.3. Parameter Estimation Methods; 5.4. Likelihood Function and Maximum Likelihood Estimate; 5.5. Extension of Likelihood Function to Multiple Sets of Observed Data; 5.6. Least-Squares Estimation Methods; 5.7. Maximum Likelihood Estimation for Unknown Diagonal Covariance; 5.8. Use of Prior Information in ML Estimation: Bayesian Framework

5.9. Simultaneous vs. Sequential History Matching of Observed Data Sets5.10. Summary on MLE and LSE Methods; 5.11. Minimization of MLE and LSE Objective Functions; 5.12. Constraining Unknown Parameters In Minimization; 5.13. Computation of Sensitivity Coefficients; 5.14. Statistical Inference; 5.15. Examples; Chapter 6. Pressure Transient Test Design and Interpretation; 6.1. Introduction; 6.2. Pressure Transient Test Design and Interpretation Workflow; 6.3. Multiwell Interference Test Example; 6.4. Horizontal Well Test Interpretation of a Field Example; References; Subject Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-282-76914-6

9786612769146

0-08-093174-X

OCLC:

692197552