Well test design & analysis / George Stewart.

By: Stewart, George, 1940-Material type: TextTextPublisher: Tulsa, Okla. : PennWell, ©2011Description: xxii, 1022, 37 pages : illustrations ; 29 cm + 1 CD-ROM (4 3/4 in.)Content type: text Media type: unmediated Carrier type: volumeISBN: 9781593702311; 1593702310Other title: Well test design and analysisSubject(s): Oil wells -- Testing | Oil wells -- TestingDDC classification: 622/.3382 LOC classification: TN871 | .S7283 2011
Contents:
Machine generated contents note: ch. 1 Pressure Transient Analysis in Drawdown and Buildup -- Background to Transient Pressure Analysis -- Introduction -- Development of pressure testing -- Exploration well testing -- Radial Flow Theory -- The basic flow equations -- Fluid of constant compressibility -- Further development of the accumulation term -- Linearization of the radial flow equation -- Initial and boundary conditions -- Dimensionless form of the diffusivity equation -- The line source analytical solution in an infinite reservoir -- Wellbore damage and improvement effects -- Analytical solution for the case of a bounded circular reservoir -- Analytical solution for a constant pressure outer boundary -- SPE field units -- The depth of investigation and radius of drainage -- The dynamics of reservoir pressure response -- Pressure Drawdown Testing -- Introduction -- Pressure drawdown analysis in infinite-acting reservoirs -- The Principle of Superposition -- Introduction -- Multiple-well situations -- Variable rate situations -- Pressure Build-up Testing -- Introduction -- Pressure buildup test analysis during the infinite-acting period -- After production -- Determination of reservoir parameters -- Impulse test in a tight reservoir -- Peaceman probe radius -- Transient productivity index, Jt -- Notes -- ch. 2 Wellbore Storage and Type Curve Matching -- Wellbore Storage -- Introduction -- Liquid-filled wellbore -- Early time behavior of a well with storage -- Practical use of the wellbore storage calculation -- Solutions to the diffusivity equation in Laplace space -- The Stehfest algorithm -- Well with storage and skin -- Type Curve Matching -- Introduction -- Log-log type curve -- Type curve based on tD/CD -- Type Curve Matching using the Pressure Derivative -- Derivative analysis -- Middle time region (MTR) derivative match -- tD/CD type curve including the derivative -- Finite wellbore radius solution -- Analysis of Buildup Responses---The Producing Time Effect -- Equivalent drawdown time -- Desuperposition -- Nonideal Wellbore Storage -- Introduction -- Gas phase redistribution -- Empirical models of nonideal wellbore storage -- Rising liquid level -- Downhole shut-in tools -- Falling liquid level in water injection wells -- Numerical wellbore simulator -- Well Cleanup and Changing Skin -- Theory -- Field examples -- Notes -- ch. 3 Semi-Infinite System Late Transient Analysis -- Introduction to Fault Detection -- Drawdown Analysis in the Case of a Single Linear Discontinuity -- Hemiradial flow -- Build-up Analysis in the Case of a Single No-flow Boundary -- Perturbed radial cylindrical buildup -- Radius of investigation in build-up testing -- Reservoirs with Multiple No-flow Boundaries -- Elementary Fault Systems -- Constant Rate Drawdown Theory for Semi-infinite Systems -- Analysis Methods for Constant Rate Drawdown (CRD) Tests -- tD/L2D derivative type curve -- Constant Rate Build-up (CRB) Theory for Semi-infinite Systems -- Optimum form of build-up derivative presentation -- Field Examples -- North Sea example---Oseberg Field -- Partially Communicating Faults (PCFs) -- Introduction -- Active well response -- Linear composite system -- Finite element method (FEM) numerical simulation of a PCF -- Observation well response -- Linear composite system -- Homogeneous system -- PCF in a channel reservoir -- Pulse testing -- Notes -- ch. 4 Well in a Bounded Drainage Area -- Reservoir Limit Testing -- Introduction -- Average reservoir pressure -- Dietz semi-steady-state shape factors -- Full analytical solution -- Semi-steady-state depletion and reservoir limit testing -- Analysis of a reservoir limit test -- Pressure Build-up Analysis in Bounded Systems -- Introduction -- Conditions for applicability of Horner analysis -- Determination of the skin factor -- Matthews, Brons, and Hazebroek (MBH) method -- Extended drawdown test with intermittent buildups -- Reservoir monitoring -- Concept of Synthetic Flowing Time -- Single well in a closed compartment -- Multiple well situations -- Synthetic test problem -- Developed Reservoir Effects---Slider's Method -- Introduction -- North Sea field example -- Libyan field example -- Determination of average pressure p -- Interference testing -- Notes -- ch. 5 Variable Rate Well Test Analysis -- Introduction -- Step Rate Flow Schedule -- General superposition formula for step rate flow schedule -- Infinite-acting Radial-cylindrical Flow -- Drawdown theory -- Drawdown superposition time function -- Variable rate drawdown (VRD) semilog plot -- Simplified variable rate analysis -- Build-up theory -- Evaluation of the skin factor S -- Analysis of a Variable Surface Rate Buildup Using Drawdown Type Curve -- Introduction -- Synthetic afterflow deconvolution -- Generalized Superposition Methods -- Derivative diagnostic and type curve matching -- Desuperposition and the Role of the Extrapolated Pressure -- Time Transformation for Variable Properties -- Superposition with a non-Darcy skin effect -- Superposition Theory for Linear Flow -- Linear flow (root of time) derivative -- Variable Rate Extended Drawdown Testing -- Bounded system behavior -- Approximate deconvolution -- Effect of build-up periods -- Filtering for material balance studies -- Pseudopressure and pseudotime transformation -- Field example of an extended draw-down test -- Further synthetic example -- Pemanent downhole gauges (PDGs) -- Afterflow Measurement and Convolution -- Introduction -- Field example of afterflow convolution -- Slug Testing, Closed Chamber Testing, and Pumping Well Buildups -- Slug testing -- Slug test analytical solution -- Build-up analysis following variable rate drawdown -- Integral method for the slug test flow period -- Russian field example -- Multiple slug test periods -- Application to coal bed methane -- Closed chamber test -- Stress-dependent permeability -- Notes -- ch. 6 Channel Sands and Parallel Faults -- Introduction -- Parallel Boundary Systems -- Constant rate drawdown (CRD) in a semi-infinite system -- Constant rate buildup (CRB) -- Related systems -- Offset well positions -- Linear flow derivative -- Bounded Rectangle -- Constant rate drawdown -- Synthetic example -- Semi-steady-state depletion -- Constant Rate Buildup in a Closed Rectangle -- Build-up theory for rectangular systems -- Desuperposition analysis -- Use of the semi-infinite-acting time in build-up analysis -- Matthews, Brons, and Hazebroek (MBH) method -- Detection of a closed system -- Amplified treatment of the extrapolated pressure -- Depletion in a Channel System -- Fluvial Systems -- Sequence stratigraphy -- Bilinear flow -- Geostatistics -- Constant-Pressure Boundary -- Well Test Design -- Notes -- ch. 7 Constant Pressure Boundaries -- Constant-pressure Upper or Lower Boundary -- Introduction -- Theory -- General derivative-type curve for a limited entry -- Steady-state productivity -- Depth of investigation with a constant-pressure boundary -- Analysis of the drawdown behavior -- The effect of wellbore storage -- Miller-Dyes-Hutchison (MDH) Method -- Determination of reservoir pressure -- Infinite-acting radial flow -- Field Examples -- Single Vertical Constant-pressure Boundary -- Non-intersecting vertical fracture -- Notes -- ch. 8 Vertically Fractured Wells -- Introduction -- Uniform Flux and Infinite Conductivity Fractures -- Introduction -- Linear flow theory -- Constant rate solution---uniform flux case -- Constant rate solution---infinite conductivity case -- Linear Flow Theory -- Pseudoradial flow -- Semi-steady-state (SSS) productivity index -- Effect of wellbore storage -- Type Curve Analysis -- Effect of fracture face skin -- Semilog analysis -- Analysis of Build-up or Fall-off Tests -- Specialized plots for buildup -- Desuperposition -- Generalized superposition plot -- Automatic matching or nonlinear parameter estimation -- Iranian field example of an acidized well -- North Sea field example -- Limited height fracture -- Finite Conductivity Hydraulic Fractures -- Finite conductivity fracture pD function -- Bilinear flow regime -- Pseudolinear flow -- Pseudoradial flow -- Type curve matching -- Permeability from prefracture test -- Transient and SSS production -- Layered systems -- Bilinear Flow with Fracture Face Skin and Well-bore Storage -- Pseudolinear flow -- Nonintersecting (Distant) Fracture -- Notes -- ch.
9 Dual Porosity Systems -- Introduction -- Models of Dual Porosity Systems -- Radial diffusivity equation for the fracture system -- Dimensionless groups -- Material balance equation for the matrix system -- Pseudo-semi-steady-state analysis -- Dimensionless interporosity flow parameter -- Warren and root PSSS dual porosity model -- Transient interporosity flow model -- Two-layer systems -- General Solution to the Double Porosity Diffusivity Equation -- Wellbore storage and skin -- Model Pressure Responses -- Behavior of the PSSS dual porosity model -- Behavior of the transient dual porosity model -- Effect of wellbore storage and skin -- Analysis Methods -- Constant rate drawdown---semilog plot -- Constant rate buildup (CRB) analysis -- Well test analysis for dual porosity systems -- Automatic matching -- Fracture Network Theory -- Iranian Field Examples -- Well Q-18 -- Well X-33T1 -- Radial Composite Behavior -- Notes -- ch. 10 Limited Entry and Double Permeability Systems -- Well with Limited Entry or Partial Penetration -- Introduction -- Drawdown behavior of partially penetrating wells -- Effects of Wellbore Storage -- Analysis of early time response using type curve matching -- Analytical solution -- Derivative type curve match -- Determination of vertical permeability -- Negative skin case -- Spherical flow theory -- Double Permeability Model -- Introduction -- Limiting form of the dual permeability model -- Aquifer support -- Double permeability behavior -- Analytical Solutions in Laplace Space -- Case II Only One Layer Perforated.
Note continued: Case II Fundamental (constant-rate) active layer response -- Well test interpretation -- Murchison field -- Vertical Interference Testing -- Observation layer response -- Effect of wellbore storage -- Vertical Interference Testing Field Data -- CD & lambda; Type Curve -- Simulation of vertical interference tests -- Field examples -- Conclusions -- Shale Lens Model -- Notes -- ch. 11 Radial Composite Systems -- Radial Composite Systems -- Introduction -- Fundamental response -- Derivative type curves -- Build-up behavior -- Aquifer influx -- Gas block and liquid condensate dropout -- Unfavorable displacement situations -- Negative skin situation -- Geological setting for the radial composite model -- Formation damage as a radial composite -- Radial Composite with a Closed Outer Boundary -- Thermally Induced Fracturing (TIF) -- Introduction -- Rock mechanics of thermal fracturing -- Simplified model of equilibrium fracture half length -- Interpretation of pressure injection and fall-off tests -- Step-rate test (SRT) -- Fall-off Tests in Water Injection Wells -- Effect of Saturation Profile -- Displacement theory -- Determination of mobility profiles -- Determination of flood front radius, rff -- Average pressure of inner region -- Fall-off Tests in Gas Injection Wells -- Notes -- ch. 12 Horizontal Wells -- Introduction -- Flow Regimes -- Vertical radial flow -- Effect of anisotropy -- Anisotropic parallel boundary solution -- Fractured well solution -- Horizontal pseudo-radial flow -- General Solution for a Horizontal Well -- Derivative type curve -- Acidized horizontal wells -- Strip source solution -- Evaluation of the Green's function solution -- Pseudo-radial flow regime skin factor -- Vertical lateral boundaries -- Analysis Methods Based on Specialist Plots -- Early time analysis -- infinite-acting radial flow -- Derivative analysis -- Hemiradial vertical flow -- Intermediate time analysis -- linear flow regime -- Late time analysis -- horizontal pseudo-radial flow -- Build-up analysis -- Transient Deliverability -- Constant-pressure Boundary -- Layered Commingled Systems -- Theory of a near-horizontal well penetrating several layers -- Synthetic example -- Horizontal multilateral wells -- Effect of Lateral Boundaries -- Closed systems -- Dietz shape factors (CA) -- Highly Deviated (Slant) Wells -- Hydraulically Fractured Horizontal Wells -- Sinusoidal Wells -- Radial Composite Behavior -- Notes -- ch. 13 Gas Well Testing -- Theory of Gas Well Testing -- Introduction -- Linearization of the radial flow equation for a real gas -- Constant-rate inner boundary condition -- Detection of depletion -- Analysis Methods -- Constant Rate Drawdown (CRD) analysis -- Gas well field units -- Constant rate buildup (CRB) analysis -- Real gas pseudo-time ta -- Wellbore Storage in Gas Wells -- Application of Agarwal pseudo-time transformation -- Very low permeability reservoirs -- Determination of rate-dependent skin coefficient D -- Gas Reservoir Limit Testing -- Behavior of a closed gas reservoir -- Pseudo-time based on average pressure -- Reservoir limit test -- Variable (step) rate case -- Semi-steady-state gas well deliverability -- Simulated extended drawdown -- Analytic simulation option -- Step-rate Transient (SRT) Test -- Methodology and test objectives -- Variable rate drawdown (VRD) plot for gas wells -- Prediction of the SSS deliverability of development wells -- North Sea gas well test field example -- Design of Step-rate Tests -- Isochronal Testing and its Limitations -- Reserves Proven by a Gas Well Test -- Notes -- ch. 14 Automatic Model Matching -- Introduction -- Structure of fundamental (CSFR) pD functions or models -- Interpretation methodology -- Storage and interrogation of tabulated dimensionless responses -- Real-time Convolution -- Introduction -- Ideal wellbore storage and skin -- Nonideal wellbore storage -- Time-dependent skin and wellbore storage coefficient -- Application to gas wells -- Automatic Matching -- Nonlinear regression -- Model selection -- Selection of data points -- Advantages and disadvantages of nonlinear regression -- Production Analysis: Prediction of Production Decline -- Transient deliverability -- Fractured well example -- Fetkovich approximation -- Semi-steady-state depletion -- Closed system pD functions -- Notes -- ch. 15 Two Cell Compartmentalized Systems -- Extended Drawdown Behavior -- Period of negligible support -- Time to reach total system semi-steady-state -- Dimensionless form of the material balance support -- Superposition of material balance effect in a closed system -- Late time drawdown derivative type curve -- Analysis methods on the Cartesian graph -- Extended Build-up Behavior -- Derivative diagnostic -- Exponential approach region -- Analysis of transient and semi-infinite-acting period -- Build-up analysis by desuperposition -- Build-up derivative type curve -- Synthetic Example -- Total System Productivity Index -- Effect of a Poor Cement Bond -- Reservoir Engineering Aspects of Compartmentalization -- Field Examples -- Further Field Examples -- Katnook field -- Middle East carbonate -- Notes -- ch. 16 Well Test Design -- Introduction -- Background to test design -- Permeability estimate -- Review of seismic data -- Decision to Test or Not -- Objectives of the Test -- General objectives -- Skin cleanup -- Enhanced objectives -- Obtaining a permeability estimate -- Completion design -- Forecasting of development well deliverability -- Estimation of accessible hydrocarbon -- Tubing diameter selection -- Design Criteria -- Based on the depth of investigation -- Based on the duration of the wellbore storage effect -- Wireline shut-in tools (SITs) -- Based on the removal of tidal effects -- Low-permeability systems -- Incorporation of production logging -- Role of Simulation in Test Design -- Application of a nodal analysis package -- Role of analytical well test simulation -- Gauge selection and location -- Permanent downhole gauges -- Special Considerations for Gas Wells -- Classification of gas reservoirs -- Step-rate test design -- Design calculations related to wellbore storage -- Role of analytical simulation -- Rate control -- Problem of well cleanup -- Turner critical velocity -- Example gas well test design -- Estimation of reserves -- First gas well field example -- Second gas well field example -- Fractured wells -- Limitation on test rate due to environmental considerations -- Wellhead temperature constraints -- Compositional simulation -- Extremely high permeability -- Testing of the completion -- Testing of gas condensate wells -- Modern DST Testing Systems -- Separator selection -- Multiphase flow measurement -- Fluid disposal -- Notes -- ch. 17 Multiphase Flow -- Introduction -- Linearization of the Continuity Equation -- Steady-state two-phase pseudopressure -- Radius of drainage -- Pseudopressure integrals -- Diffusivity Equation in Terms Of Two-Phase Pseudopressure -- Two-phase compressibility and pseudotime -- Two-phase material balance -- Analytical Solutions to the Linearized System -- Case where the reservoir pressure is above the dew point -- Analytical solutions in terms of two-phase pseudopressure -- Comparison with numerical simulation results -- Gas condensate well test methodology -- Reservoir pressure below the dew point -- Generation with a Pressure-dependent Viscosity Compressibility Product -- Sampling in Gas Condensate Systems -- Theory of Perrine and Martin -- Steady-state pseudopressure for solution gas drive -- Transient flow in solution gas drive -- Semi-steady-state depletion -- Build-up analysis in solution gas drive -- Case Studies -- Arun field -- Cupiagua field -- North Rankine field -- Britannia field -- Non-Darcy Flow in Gas Condensate Well Tests -- Raghavan et al. Field Examples -- Numerical Simulation of Gas Condensate Well Tests -- Barrios and Osorio studies -- Role of compositional modeling -- Notes -- ch.
18 Numerical Well Testing -- Numerical Techniques -- Introduction -- The finite element method -- Interaction of Geological Modeling and Well Test Interpretation -- Introduction -- Heriot-Watt fluvial reservoir project -- Geoskin concept -- Geological Object Framework -- Introduction -- Captain horizontal well -- Dual permeability with a horizontal well -- Nonintersecting fracture situations -- Shale lens problem -- Stacked channels -- Makassar Strait deepwater fields -- EPS derivative fingerprint library -- Multiple fault example -- Compartmentalized field example -- Conditional Simulation -- Interference Testing -- Introduction -- Dual permeability situations -- Vertical sealing faults with windows -- Conclusions -- Notes -- ch. 19 Layered Well Testing -- Introduction -- Direct measurement of layer pressures -- Well testing objectives -- Integration of well test interpretation and core analysis -- Commingled systems with horizontal wells -- Multilayer Convolution Algorithm -- Prediction of layer flow rates for a specified wellbore pressure history -- Two-Layer Situations -- Transient crossflow during buildup -- Early shut-in time rate transient -- Two-layer case studies -- Unequal initial pressure -- Incremental layer workover case -- Transient step-rate test (TSRT) -- Partially Bounded System -- Constant total rate drawdown -- Regime 1 Both layers infinite-acting -- Regime 2 Depletion of the bounded layer 1 -- Regime 4 Layer 2 producing alone -- Draw-down type curve -- Buildup -- Derivative diagnostics -- Three-layer Synthetic Problem -- Dual Profile Build-up Test (DPBT) -- Basic form of DPBT -- Reservoir monitoring and automatic matching -- DPBT with NGWFT dual packer complement -- Transient Step-Rate Test -- Communicating Layers -- Introduction -- Pseudo-semi-steady-state (PSSS) crossflow model -- Embedded lens of high permeability -- Geoskin -- Finite element numerical modelling -- Crossflow index -- Braided fluvial systems.
Note continued: Development of crossflow modelling using partial productivity indices -- Design and simulation of workover treatments -- Synergistic Interpretation of Layered Well Tests -- Integration of core analysis data -- Effective flowing interval -- Upscaling core and log permeability data -- Natural fracturing -- Hydraulic Flow Units (HFUs) -- Introduction -- Fundamental theory -- Hydraulic unit zonation process -- Field examples from clastic reservoirs -- Permeability prediction from core and log data -- Siberian field example -- Alternative lumped parameter approach -- Distributed Pressure Surveys -- Notes -- ch. 20 Deconvolution in PTA -- Introduction -- Convolution of a Variable Rate Response -- Iseger Algorithm -- Numerical Laplace Transformation -- Step Rate Schedules -- Deconvolution of a Variable Rate Response -- Application of Deconvolution -- Determination of reservoir volume -- Further Simulated Test Problems -- Gas well testing -- Application to Wireline Formation Testing -- Mini-DST -- Depth of Investigation -- Real-time Deconvolution -- Permanent Downhole Gauge (PDG) Data -- Build-up Analysis -- Partial Datasets -- Synthetic deconvolution -- Two-Cell Compartmentalized Systems -- Gas Well Testing -- Shell field example -- Notes.
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TN871 .S728 2011 (Browse shelf (Opens below)) 1 Available STACKS 51952000207672

Chapters 16 to 20 are on the accompanying CD-ROM.

Includes bibliographical references and index.

Machine generated contents note: ch. 1 Pressure Transient Analysis in Drawdown and Buildup -- Background to Transient Pressure Analysis -- Introduction -- Development of pressure testing -- Exploration well testing -- Radial Flow Theory -- The basic flow equations -- Fluid of constant compressibility -- Further development of the accumulation term -- Linearization of the radial flow equation -- Initial and boundary conditions -- Dimensionless form of the diffusivity equation -- The line source analytical solution in an infinite reservoir -- Wellbore damage and improvement effects -- Analytical solution for the case of a bounded circular reservoir -- Analytical solution for a constant pressure outer boundary -- SPE field units -- The depth of investigation and radius of drainage -- The dynamics of reservoir pressure response -- Pressure Drawdown Testing -- Introduction -- Pressure drawdown analysis in infinite-acting reservoirs -- The Principle of Superposition -- Introduction -- Multiple-well situations -- Variable rate situations -- Pressure Build-up Testing -- Introduction -- Pressure buildup test analysis during the infinite-acting period -- After production -- Determination of reservoir parameters -- Impulse test in a tight reservoir -- Peaceman probe radius -- Transient productivity index, Jt -- Notes -- ch. 2 Wellbore Storage and Type Curve Matching -- Wellbore Storage -- Introduction -- Liquid-filled wellbore -- Early time behavior of a well with storage -- Practical use of the wellbore storage calculation -- Solutions to the diffusivity equation in Laplace space -- The Stehfest algorithm -- Well with storage and skin -- Type Curve Matching -- Introduction -- Log-log type curve -- Type curve based on tD/CD -- Type Curve Matching using the Pressure Derivative -- Derivative analysis -- Middle time region (MTR) derivative match -- tD/CD type curve including the derivative -- Finite wellbore radius solution -- Analysis of Buildup Responses---The Producing Time Effect -- Equivalent drawdown time -- Desuperposition -- Nonideal Wellbore Storage -- Introduction -- Gas phase redistribution -- Empirical models of nonideal wellbore storage -- Rising liquid level -- Downhole shut-in tools -- Falling liquid level in water injection wells -- Numerical wellbore simulator -- Well Cleanup and Changing Skin -- Theory -- Field examples -- Notes -- ch. 3 Semi-Infinite System Late Transient Analysis -- Introduction to Fault Detection -- Drawdown Analysis in the Case of a Single Linear Discontinuity -- Hemiradial flow -- Build-up Analysis in the Case of a Single No-flow Boundary -- Perturbed radial cylindrical buildup -- Radius of investigation in build-up testing -- Reservoirs with Multiple No-flow Boundaries -- Elementary Fault Systems -- Constant Rate Drawdown Theory for Semi-infinite Systems -- Analysis Methods for Constant Rate Drawdown (CRD) Tests -- tD/L2D derivative type curve -- Constant Rate Build-up (CRB) Theory for Semi-infinite Systems -- Optimum form of build-up derivative presentation -- Field Examples -- North Sea example---Oseberg Field -- Partially Communicating Faults (PCFs) -- Introduction -- Active well response -- Linear composite system -- Finite element method (FEM) numerical simulation of a PCF -- Observation well response -- Linear composite system -- Homogeneous system -- PCF in a channel reservoir -- Pulse testing -- Notes -- ch. 4 Well in a Bounded Drainage Area -- Reservoir Limit Testing -- Introduction -- Average reservoir pressure -- Dietz semi-steady-state shape factors -- Full analytical solution -- Semi-steady-state depletion and reservoir limit testing -- Analysis of a reservoir limit test -- Pressure Build-up Analysis in Bounded Systems -- Introduction -- Conditions for applicability of Horner analysis -- Determination of the skin factor -- Matthews, Brons, and Hazebroek (MBH) method -- Extended drawdown test with intermittent buildups -- Reservoir monitoring -- Concept of Synthetic Flowing Time -- Single well in a closed compartment -- Multiple well situations -- Synthetic test problem -- Developed Reservoir Effects---Slider's Method -- Introduction -- North Sea field example -- Libyan field example -- Determination of average pressure p -- Interference testing -- Notes -- ch. 5 Variable Rate Well Test Analysis -- Introduction -- Step Rate Flow Schedule -- General superposition formula for step rate flow schedule -- Infinite-acting Radial-cylindrical Flow -- Drawdown theory -- Drawdown superposition time function -- Variable rate drawdown (VRD) semilog plot -- Simplified variable rate analysis -- Build-up theory -- Evaluation of the skin factor S -- Analysis of a Variable Surface Rate Buildup Using Drawdown Type Curve -- Introduction -- Synthetic afterflow deconvolution -- Generalized Superposition Methods -- Derivative diagnostic and type curve matching -- Desuperposition and the Role of the Extrapolated Pressure -- Time Transformation for Variable Properties -- Superposition with a non-Darcy skin effect -- Superposition Theory for Linear Flow -- Linear flow (root of time) derivative -- Variable Rate Extended Drawdown Testing -- Bounded system behavior -- Approximate deconvolution -- Effect of build-up periods -- Filtering for material balance studies -- Pseudopressure and pseudotime transformation -- Field example of an extended draw-down test -- Further synthetic example -- Pemanent downhole gauges (PDGs) -- Afterflow Measurement and Convolution -- Introduction -- Field example of afterflow convolution -- Slug Testing, Closed Chamber Testing, and Pumping Well Buildups -- Slug testing -- Slug test analytical solution -- Build-up analysis following variable rate drawdown -- Integral method for the slug test flow period -- Russian field example -- Multiple slug test periods -- Application to coal bed methane -- Closed chamber test -- Stress-dependent permeability -- Notes -- ch. 6 Channel Sands and Parallel Faults -- Introduction -- Parallel Boundary Systems -- Constant rate drawdown (CRD) in a semi-infinite system -- Constant rate buildup (CRB) -- Related systems -- Offset well positions -- Linear flow derivative -- Bounded Rectangle -- Constant rate drawdown -- Synthetic example -- Semi-steady-state depletion -- Constant Rate Buildup in a Closed Rectangle -- Build-up theory for rectangular systems -- Desuperposition analysis -- Use of the semi-infinite-acting time in build-up analysis -- Matthews, Brons, and Hazebroek (MBH) method -- Detection of a closed system -- Amplified treatment of the extrapolated pressure -- Depletion in a Channel System -- Fluvial Systems -- Sequence stratigraphy -- Bilinear flow -- Geostatistics -- Constant-Pressure Boundary -- Well Test Design -- Notes -- ch. 7 Constant Pressure Boundaries -- Constant-pressure Upper or Lower Boundary -- Introduction -- Theory -- General derivative-type curve for a limited entry -- Steady-state productivity -- Depth of investigation with a constant-pressure boundary -- Analysis of the drawdown behavior -- The effect of wellbore storage -- Miller-Dyes-Hutchison (MDH) Method -- Determination of reservoir pressure -- Infinite-acting radial flow -- Field Examples -- Single Vertical Constant-pressure Boundary -- Non-intersecting vertical fracture -- Notes -- ch. 8 Vertically Fractured Wells -- Introduction -- Uniform Flux and Infinite Conductivity Fractures -- Introduction -- Linear flow theory -- Constant rate solution---uniform flux case -- Constant rate solution---infinite conductivity case -- Linear Flow Theory -- Pseudoradial flow -- Semi-steady-state (SSS) productivity index -- Effect of wellbore storage -- Type Curve Analysis -- Effect of fracture face skin -- Semilog analysis -- Analysis of Build-up or Fall-off Tests -- Specialized plots for buildup -- Desuperposition -- Generalized superposition plot -- Automatic matching or nonlinear parameter estimation -- Iranian field example of an acidized well -- North Sea field example -- Limited height fracture -- Finite Conductivity Hydraulic Fractures -- Finite conductivity fracture pD function -- Bilinear flow regime -- Pseudolinear flow -- Pseudoradial flow -- Type curve matching -- Permeability from prefracture test -- Transient and SSS production -- Layered systems -- Bilinear Flow with Fracture Face Skin and Well-bore Storage -- Pseudolinear flow -- Nonintersecting (Distant) Fracture -- Notes -- ch.

9 Dual Porosity Systems -- Introduction -- Models of Dual Porosity Systems -- Radial diffusivity equation for the fracture system -- Dimensionless groups -- Material balance equation for the matrix system -- Pseudo-semi-steady-state analysis -- Dimensionless interporosity flow parameter -- Warren and root PSSS dual porosity model -- Transient interporosity flow model -- Two-layer systems -- General Solution to the Double Porosity Diffusivity Equation -- Wellbore storage and skin -- Model Pressure Responses -- Behavior of the PSSS dual porosity model -- Behavior of the transient dual porosity model -- Effect of wellbore storage and skin -- Analysis Methods -- Constant rate drawdown---semilog plot -- Constant rate buildup (CRB) analysis -- Well test analysis for dual porosity systems -- Automatic matching -- Fracture Network Theory -- Iranian Field Examples -- Well Q-18 -- Well X-33T1 -- Radial Composite Behavior -- Notes -- ch. 10 Limited Entry and Double Permeability Systems -- Well with Limited Entry or Partial Penetration -- Introduction -- Drawdown behavior of partially penetrating wells -- Effects of Wellbore Storage -- Analysis of early time response using type curve matching -- Analytical solution -- Derivative type curve match -- Determination of vertical permeability -- Negative skin case -- Spherical flow theory -- Double Permeability Model -- Introduction -- Limiting form of the dual permeability model -- Aquifer support -- Double permeability behavior -- Analytical Solutions in Laplace Space -- Case II Only One Layer Perforated.

Note continued: Case II Fundamental (constant-rate) active layer response -- Well test interpretation -- Murchison field -- Vertical Interference Testing -- Observation layer response -- Effect of wellbore storage -- Vertical Interference Testing Field Data -- CD & lambda; Type Curve -- Simulation of vertical interference tests -- Field examples -- Conclusions -- Shale Lens Model -- Notes -- ch. 11 Radial Composite Systems -- Radial Composite Systems -- Introduction -- Fundamental response -- Derivative type curves -- Build-up behavior -- Aquifer influx -- Gas block and liquid condensate dropout -- Unfavorable displacement situations -- Negative skin situation -- Geological setting for the radial composite model -- Formation damage as a radial composite -- Radial Composite with a Closed Outer Boundary -- Thermally Induced Fracturing (TIF) -- Introduction -- Rock mechanics of thermal fracturing -- Simplified model of equilibrium fracture half length -- Interpretation of pressure injection and fall-off tests -- Step-rate test (SRT) -- Fall-off Tests in Water Injection Wells -- Effect of Saturation Profile -- Displacement theory -- Determination of mobility profiles -- Determination of flood front radius, rff -- Average pressure of inner region -- Fall-off Tests in Gas Injection Wells -- Notes -- ch. 12 Horizontal Wells -- Introduction -- Flow Regimes -- Vertical radial flow -- Effect of anisotropy -- Anisotropic parallel boundary solution -- Fractured well solution -- Horizontal pseudo-radial flow -- General Solution for a Horizontal Well -- Derivative type curve -- Acidized horizontal wells -- Strip source solution -- Evaluation of the Green's function solution -- Pseudo-radial flow regime skin factor -- Vertical lateral boundaries -- Analysis Methods Based on Specialist Plots -- Early time analysis -- infinite-acting radial flow -- Derivative analysis -- Hemiradial vertical flow -- Intermediate time analysis -- linear flow regime -- Late time analysis -- horizontal pseudo-radial flow -- Build-up analysis -- Transient Deliverability -- Constant-pressure Boundary -- Layered Commingled Systems -- Theory of a near-horizontal well penetrating several layers -- Synthetic example -- Horizontal multilateral wells -- Effect of Lateral Boundaries -- Closed systems -- Dietz shape factors (CA) -- Highly Deviated (Slant) Wells -- Hydraulically Fractured Horizontal Wells -- Sinusoidal Wells -- Radial Composite Behavior -- Notes -- ch. 13 Gas Well Testing -- Theory of Gas Well Testing -- Introduction -- Linearization of the radial flow equation for a real gas -- Constant-rate inner boundary condition -- Detection of depletion -- Analysis Methods -- Constant Rate Drawdown (CRD) analysis -- Gas well field units -- Constant rate buildup (CRB) analysis -- Real gas pseudo-time ta -- Wellbore Storage in Gas Wells -- Application of Agarwal pseudo-time transformation -- Very low permeability reservoirs -- Determination of rate-dependent skin coefficient D -- Gas Reservoir Limit Testing -- Behavior of a closed gas reservoir -- Pseudo-time based on average pressure -- Reservoir limit test -- Variable (step) rate case -- Semi-steady-state gas well deliverability -- Simulated extended drawdown -- Analytic simulation option -- Step-rate Transient (SRT) Test -- Methodology and test objectives -- Variable rate drawdown (VRD) plot for gas wells -- Prediction of the SSS deliverability of development wells -- North Sea gas well test field example -- Design of Step-rate Tests -- Isochronal Testing and its Limitations -- Reserves Proven by a Gas Well Test -- Notes -- ch. 14 Automatic Model Matching -- Introduction -- Structure of fundamental (CSFR) pD functions or models -- Interpretation methodology -- Storage and interrogation of tabulated dimensionless responses -- Real-time Convolution -- Introduction -- Ideal wellbore storage and skin -- Nonideal wellbore storage -- Time-dependent skin and wellbore storage coefficient -- Application to gas wells -- Automatic Matching -- Nonlinear regression -- Model selection -- Selection of data points -- Advantages and disadvantages of nonlinear regression -- Production Analysis: Prediction of Production Decline -- Transient deliverability -- Fractured well example -- Fetkovich approximation -- Semi-steady-state depletion -- Closed system pD functions -- Notes -- ch. 15 Two Cell Compartmentalized Systems -- Extended Drawdown Behavior -- Period of negligible support -- Time to reach total system semi-steady-state -- Dimensionless form of the material balance support -- Superposition of material balance effect in a closed system -- Late time drawdown derivative type curve -- Analysis methods on the Cartesian graph -- Extended Build-up Behavior -- Derivative diagnostic -- Exponential approach region -- Analysis of transient and semi-infinite-acting period -- Build-up analysis by desuperposition -- Build-up derivative type curve -- Synthetic Example -- Total System Productivity Index -- Effect of a Poor Cement Bond -- Reservoir Engineering Aspects of Compartmentalization -- Field Examples -- Further Field Examples -- Katnook field -- Middle East carbonate -- Notes -- ch. 16 Well Test Design -- Introduction -- Background to test design -- Permeability estimate -- Review of seismic data -- Decision to Test or Not -- Objectives of the Test -- General objectives -- Skin cleanup -- Enhanced objectives -- Obtaining a permeability estimate -- Completion design -- Forecasting of development well deliverability -- Estimation of accessible hydrocarbon -- Tubing diameter selection -- Design Criteria -- Based on the depth of investigation -- Based on the duration of the wellbore storage effect -- Wireline shut-in tools (SITs) -- Based on the removal of tidal effects -- Low-permeability systems -- Incorporation of production logging -- Role of Simulation in Test Design -- Application of a nodal analysis package -- Role of analytical well test simulation -- Gauge selection and location -- Permanent downhole gauges -- Special Considerations for Gas Wells -- Classification of gas reservoirs -- Step-rate test design -- Design calculations related to wellbore storage -- Role of analytical simulation -- Rate control -- Problem of well cleanup -- Turner critical velocity -- Example gas well test design -- Estimation of reserves -- First gas well field example -- Second gas well field example -- Fractured wells -- Limitation on test rate due to environmental considerations -- Wellhead temperature constraints -- Compositional simulation -- Extremely high permeability -- Testing of the completion -- Testing of gas condensate wells -- Modern DST Testing Systems -- Separator selection -- Multiphase flow measurement -- Fluid disposal -- Notes -- ch. 17 Multiphase Flow -- Introduction -- Linearization of the Continuity Equation -- Steady-state two-phase pseudopressure -- Radius of drainage -- Pseudopressure integrals -- Diffusivity Equation in Terms Of Two-Phase Pseudopressure -- Two-phase compressibility and pseudotime -- Two-phase material balance -- Analytical Solutions to the Linearized System -- Case where the reservoir pressure is above the dew point -- Analytical solutions in terms of two-phase pseudopressure -- Comparison with numerical simulation results -- Gas condensate well test methodology -- Reservoir pressure below the dew point -- Generation with a Pressure-dependent Viscosity Compressibility Product -- Sampling in Gas Condensate Systems -- Theory of Perrine and Martin -- Steady-state pseudopressure for solution gas drive -- Transient flow in solution gas drive -- Semi-steady-state depletion -- Build-up analysis in solution gas drive -- Case Studies -- Arun field -- Cupiagua field -- North Rankine field -- Britannia field -- Non-Darcy Flow in Gas Condensate Well Tests -- Raghavan et al. Field Examples -- Numerical Simulation of Gas Condensate Well Tests -- Barrios and Osorio studies -- Role of compositional modeling -- Notes -- ch.

18 Numerical Well Testing -- Numerical Techniques -- Introduction -- The finite element method -- Interaction of Geological Modeling and Well Test Interpretation -- Introduction -- Heriot-Watt fluvial reservoir project -- Geoskin concept -- Geological Object Framework -- Introduction -- Captain horizontal well -- Dual permeability with a horizontal well -- Nonintersecting fracture situations -- Shale lens problem -- Stacked channels -- Makassar Strait deepwater fields -- EPS derivative fingerprint library -- Multiple fault example -- Compartmentalized field example -- Conditional Simulation -- Interference Testing -- Introduction -- Dual permeability situations -- Vertical sealing faults with windows -- Conclusions -- Notes -- ch. 19 Layered Well Testing -- Introduction -- Direct measurement of layer pressures -- Well testing objectives -- Integration of well test interpretation and core analysis -- Commingled systems with horizontal wells -- Multilayer Convolution Algorithm -- Prediction of layer flow rates for a specified wellbore pressure history -- Two-Layer Situations -- Transient crossflow during buildup -- Early shut-in time rate transient -- Two-layer case studies -- Unequal initial pressure -- Incremental layer workover case -- Transient step-rate test (TSRT) -- Partially Bounded System -- Constant total rate drawdown -- Regime 1 Both layers infinite-acting -- Regime 2 Depletion of the bounded layer 1 -- Regime 4 Layer 2 producing alone -- Draw-down type curve -- Buildup -- Derivative diagnostics -- Three-layer Synthetic Problem -- Dual Profile Build-up Test (DPBT) -- Basic form of DPBT -- Reservoir monitoring and automatic matching -- DPBT with NGWFT dual packer complement -- Transient Step-Rate Test -- Communicating Layers -- Introduction -- Pseudo-semi-steady-state (PSSS) crossflow model -- Embedded lens of high permeability -- Geoskin -- Finite element numerical modelling -- Crossflow index -- Braided fluvial systems.

Note continued: Development of crossflow modelling using partial productivity indices -- Design and simulation of workover treatments -- Synergistic Interpretation of Layered Well Tests -- Integration of core analysis data -- Effective flowing interval -- Upscaling core and log permeability data -- Natural fracturing -- Hydraulic Flow Units (HFUs) -- Introduction -- Fundamental theory -- Hydraulic unit zonation process -- Field examples from clastic reservoirs -- Permeability prediction from core and log data -- Siberian field example -- Alternative lumped parameter approach -- Distributed Pressure Surveys -- Notes -- ch. 20 Deconvolution in PTA -- Introduction -- Convolution of a Variable Rate Response -- Iseger Algorithm -- Numerical Laplace Transformation -- Step Rate Schedules -- Deconvolution of a Variable Rate Response -- Application of Deconvolution -- Determination of reservoir volume -- Further Simulated Test Problems -- Gas well testing -- Application to Wireline Formation Testing -- Mini-DST -- Depth of Investigation -- Real-time Deconvolution -- Permanent Downhole Gauge (PDG) Data -- Build-up Analysis -- Partial Datasets -- Synthetic deconvolution -- Two-Cell Compartmentalized Systems -- Gas Well Testing -- Shell field example -- Notes.

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