Ebook: Mathematical Theory of Oil and Gas Recovery: With Applications to ex-USSR Oil and Gas Fields

It is a pleasure to be asked to write the foreword to this interesting new book. When Professor Bedrikovetsky first accepted my invitation to spend an extended sabbatical period in the Department of Mineral Resources Engineering at Imperial College of Science, Technology and Medicine, I hoped it would be a period of fruitful collaboration. This book, a short course and a variety of technical papers are tangible evidence of a successful stay in the UK. I am also pleased that Professor Bedrikovetsky acted on my suggestion to publish this book with Kluwer as part of the petroleum publications for which I am Series Editor. The book derives much of its origin from the unpublished Doctor of Science thesis which Professor Bedrikovetsky prepared in Russian while at the Gubkin Institute. The original DSc contained a number of discrete publications unified by an analytical mathematics approach to fluid flow in petroleum reservoirs. During his sabbatical stay at Imperial College, Professor Bedrikovetsky has refined and extended many of the chapters and has discussed each one with internationally recognised experts in the field. He received great encouragement and editorial advice from Dr Gren Rowan, who pioneered analytical methods in reservoir modelling at BP for many years.

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This book comprises a new mathematical study of multiphase multicomponent flows in heterogeneous porous media. The goal is to develop analytical models of the recovery processes from heterogeneous reservoirs based on the exact analytical solutions of equations of flow in porous media. The analytical models developed describe chemical and hot waterflooding, injection of gases and solvents in oil and gas condensate reservoirs.
Analytical modelling allows a wide comparative study of application of different recovery technologies in any actual hydrocarbon reservoir and permits a detailed sensitivity study. Analytical solutions of inverse problems allow the determination of the properties of reservoirs and fluids from field test data and laboratory data. Applications of analytical models in feasibility studies, in the development planning and design, and in reservoir characterization are given with respect to numerous CIS oil and gas condensate fields.
While a review of classical problems is included, the bulk of the book deals with original, unpublished material and new research. The book will be useful for researchers in petroleum engineering and reservoir modelling, for software engineers, for practical reservoir engineers and managers of reservoir studies.

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This book comprises a new mathematical study of multiphase multicomponent flows in heterogeneous porous media. The goal is to develop analytical models of the recovery processes from heterogeneous reservoirs based on the exact analytical solutions of equations of flow in porous media. The analytical models developed describe chemical and hot waterflooding, injection of gases and solvents in oil and gas condensate reservoirs.
Analytical modelling allows a wide comparative study of application of different recovery technologies in any actual hydrocarbon reservoir and permits a detailed sensitivity study. Analytical solutions of inverse problems allow the determination of the properties of reservoirs and fluids from field test data and laboratory data. Applications of analytical models in feasibility studies, in the development planning and design, and in reservoir characterization are given with respect to numerous CIS oil and gas condensate fields.
While a review of classical problems is included, the bulk of the book deals with original, unpublished material and new research. The book will be useful for researchers in petroleum engineering and reservoir modelling, for software engineers, for practical reservoir engineers and managers of reservoir studies.

Content:
Front Matter....Pages N2-xx
Front Matter....Pages 1-2
One-Dimensional Motion of a Two-Phase System of Immiscible Liquids in a Porous Medium....Pages 3-26
Percolation Models of Flow through a Porous Medium....Pages 27-39
Analytical Models of Water-Flooding of Stratified Reservoirs....Pages 40-59
Effects of Compressibility on Two-Phase Displacement....Pages 60-84
Front Matter....Pages 86-87
One-Dimensional Displacement of Oil by Chemical Solutions....Pages 88-126
The Effect of Non-Equilibrium Sorption and Solution on the Displacement of Oil by Chemical Flooding....Pages 127-137
Displacement of Oil by a Chemical Slug with Water Drive....Pages 138-173
Oil Displacement by a Combination of Multi-chemical Slugs....Pages 174-198
Motion of a Thin Slug of Chemical in Two-Phase Flow in a Porous Medium....Pages 199-209
The Inverse Problem of Determining the Degree of Sorption of a Chemical from Laboratory Data....Pages 210-213
An Analytical Model of Two-Dimensional Displacement of Oil from Reservoirs in a System of Wells....Pages 214-222
Chemical Flooding in Stratified Reservoirs....Pages 223-232
Methodology of the Application of 3D Analytical Models to Feasibility Studies and Design of Chemical Flooding Schemes....Pages 233-238
Front Matter....Pages 242-243
Displacement of Non-Newtonian Oil by Hot Water with Heat Losses to Adjacent Layers....Pages 244-256
Hot Water Flooding of Waxy Crude with Paraffin Separation....Pages 257-290
Front Matter....Pages 293-294
The Displacement of Retrograde Condensate and Oil by Gases and Solvents....Pages 295-313
The Displacement of Retrograde Condensate by Slugs of Rich Gas....Pages 314-326
Analytical Water-Alternate-Gas Modelling....Pages 327-347
The Two-Phase Displacement of Binary Mixtures at Large Pressure Gradients....Pages 348-352
The Effect of Capillary Forces on Phase Equilibria and Displacement in Porous Media....Pages 353-370
Front Matter....Pages 293-294
Inverse Problems of Laboratory Multi-phase Displacement with Phase Transitions....Pages 371-384
Feasibility Study and Planning of Enhanced Condensate Recovery: Application of Analytical Models to Vuktyl Oil-Gas-Condensate Field....Pages 385-400
The Theory of In Situ Sweetening of Natural Gases....Pages 403-426
Front Matter....Pages 428-429
Stratification of Multi-component Mixtures in the Earth’s Thermal and Gravitational Fields....Pages 430-459
Capillary-Gravitational Stratification of Two-Phase Mixtures in Thick Reservoirs....Pages 460-474
Analysis of Convective Instabilities in Binary Mixtures in Porous Media....Pages 475-486
The Dynamic Gravitational Separation of Oil and Water in Reservoirs of Limited Thickness....Pages 487-501
Front Matter....Pages 504-505
Vertical Displacement of Gravity-Stratified Two-Phase Three-Component Fluids....Pages 506-526
Analytical Model of Gravity-Stabilized Gas Injection in a Thick Heterogeneous Reservoir....Pages 527-535
Back Matter....Pages 537-576

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This book comprises a new mathematical study of multiphase multicomponent flows in heterogeneous porous media. The goal is to develop analytical models of the recovery processes from heterogeneous reservoirs based on the exact analytical solutions of equations of flow in porous media. The analytical models developed describe chemical and hot waterflooding, injection of gases and solvents in oil and gas condensate reservoirs.
Analytical modelling allows a wide comparative study of application of different recovery technologies in any actual hydrocarbon reservoir and permits a detailed sensitivity study. Analytical solutions of inverse problems allow the determination of the properties of reservoirs and fluids from field test data and laboratory data. Applications of analytical models in feasibility studies, in the development planning and design, and in reservoir characterization are given with respect to numerous CIS oil and gas condensate fields.
While a review of classical problems is included, the bulk of the book deals with original, unpublished material and new research. The book will be useful for researchers in petroleum engineering and reservoir modelling, for software engineers, for practical reservoir engineers and managers of reservoir studies.

Content:
Front Matter....Pages N2-xx
Front Matter....Pages 1-2
One-Dimensional Motion of a Two-Phase System of Immiscible Liquids in a Porous Medium....Pages 3-26
Percolation Models of Flow through a Porous Medium....Pages 27-39
Analytical Models of Water-Flooding of Stratified Reservoirs....Pages 40-59
Effects of Compressibility on Two-Phase Displacement....Pages 60-84
Front Matter....Pages 86-87
One-Dimensional Displacement of Oil by Chemical Solutions....Pages 88-126
The Effect of Non-Equilibrium Sorption and Solution on the Displacement of Oil by Chemical Flooding....Pages 127-137
Displacement of Oil by a Chemical Slug with Water Drive....Pages 138-173
Oil Displacement by a Combination of Multi-chemical Slugs....Pages 174-198
Motion of a Thin Slug of Chemical in Two-Phase Flow in a Porous Medium....Pages 199-209
The Inverse Problem of Determining the Degree of Sorption of a Chemical from Laboratory Data....Pages 210-213
An Analytical Model of Two-Dimensional Displacement of Oil from Reservoirs in a System of Wells....Pages 214-222
Chemical Flooding in Stratified Reservoirs....Pages 223-232
Methodology of the Application of 3D Analytical Models to Feasibility Studies and Design of Chemical Flooding Schemes....Pages 233-238
Front Matter....Pages 242-243
Displacement of Non-Newtonian Oil by Hot Water with Heat Losses to Adjacent Layers....Pages 244-256
Hot Water Flooding of Waxy Crude with Paraffin Separation....Pages 257-290
Front Matter....Pages 293-294
The Displacement of Retrograde Condensate and Oil by Gases and Solvents....Pages 295-313
The Displacement of Retrograde Condensate by Slugs of Rich Gas....Pages 314-326
Analytical Water-Alternate-Gas Modelling....Pages 327-347
The Two-Phase Displacement of Binary Mixtures at Large Pressure Gradients....Pages 348-352
The Effect of Capillary Forces on Phase Equilibria and Displacement in Porous Media....Pages 353-370
Front Matter....Pages 293-294
Inverse Problems of Laboratory Multi-phase Displacement with Phase Transitions....Pages 371-384
Feasibility Study and Planning of Enhanced Condensate Recovery: Application of Analytical Models to Vuktyl Oil-Gas-Condensate Field....Pages 385-400
The Theory of In Situ Sweetening of Natural Gases....Pages 403-426
Front Matter....Pages 428-429
Stratification of Multi-component Mixtures in the Earth’s Thermal and Gravitational Fields....Pages 430-459
Capillary-Gravitational Stratification of Two-Phase Mixtures in Thick Reservoirs....Pages 460-474
Analysis of Convective Instabilities in Binary Mixtures in Porous Media....Pages 475-486
The Dynamic Gravitational Separation of Oil and Water in Reservoirs of Limited Thickness....Pages 487-501
Front Matter....Pages 504-505
Vertical Displacement of Gravity-Stratified Two-Phase Three-Component Fluids....Pages 506-526
Analytical Model of Gravity-Stabilized Gas Injection in a Thick Heterogeneous Reservoir....Pages 527-535
Back Matter....Pages 537-576
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