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L P Dake  One of the best experts on this subject based on the ideXlab platform.

the practice of reservoir engineering
1994CoAuthors: L P DakeAbstract:Preface. About the Author. Nomenclature. Chapter 1 Introduction to Reservoir Engineering. Activities in reservoir engineering. Basic themes of the text. The role of reservoir engineers. Technical responsibilities of reservoir engineers. The physical principles of reservoir engineering. References. Chapter 2 The Appraisal of Oil and Gas Fields. Introduction. Pressurevolumetemperature fluid properties for oil. Calculation of the stock tank oil initially in place. Field unitization/equity determination. Calculation of gas initially in place(GIIP). Pressuredepth plotting. Application of the repeat formation tester. Pulse testing using the repeat formation tester. Appraisal well testing. Extended well testing. References. Chapter 3 Material Balance Applied to Oilfields. Introduction. Derivation of the cumulative material balance for oil reservoirs. Necessary conditions for application of material balance. Solving the material balance (knowns and unknowns). Comparison between material balance and numerical simulation modelling. The opening move in applying material balance. Volumetric depletion fields. Water influx calculations. Gascap drive. Compaction drive. Conclusion. References. Chapter 4 Oilwell Testing. Introduction. Essential observations in well testing. Well testing literature. The purpose of well testing. Basic, Radial flow Equation. Constant terminal rate solution of the Radial Diffusivity Equation. The transient constant terminal rate solution of the Radial Diffusivity Equation. Difficulties in application of the constant terminal rate solution of the Radial Diffusivity Equation. Superposition of CTR solutions. Singlerate drawdown test. Pressure buildup testing (general description). Miller, Dyes, Hutchinson (MDH) pressure buildup analysis. Horner pressure buildup analysis. Some practical aspects of appraisal well testing. Practical difficulties associated with Horner analysis. The influence of fault geometries on pressure buildups in appraisal well testing. Application of the exponential integral. Pressure support during appraisal well testing. Well testing in developed fields. Multirate flow testing. Loglog type curves. Conclusions. References. Chapter 5 Waterdrive. Introduction. Planning a waterflood. Engineering design of waterdrive projects. The basic theory of waterdrive in one dimension. The description of waterdrive in heterogeneous reservoir sections. Waterdrive under segregated flow conditions (vertical equilibrium). Waterdrive in sections across which there is a total lack of pressure equilibrium. The numerical simulation of waterdrive. The examination of waterdrive performance. Difficult waterdrive fields. References. Chapter 6 Gas Reservoir Engineering. Introduction. PVT requirements for gascondensate systems. Gas field volumetric material balance. The dynamics of the immiscible gasoil displacement. Dry gas recycling in retrograde gascondensate reservoirs. References. Subject Index.
Victor Sunday Chukwunagolu  One of the best experts on this subject based on the ideXlab platform.

Homotopy Analysis Solution to Radial Diffusivity Equation of Slightly Compressible Fluid
Applied Mathematicsa Journal of Chinese Universities Series B, 2016CoAuthors: Olugbenga Adebanjo Falode, Victor Sunday ChukwunagoluAbstract:The salient significance of the solution of Radial Diffusivity Equation to well testing analysis done in oil and gas industry cannot be overemphasized. Varieties of solutions have been proposed to the Radial Diffusivity Equation, of which the Van EverdingenHurst constant terminal rate solution is the most widely accepted and the others are approximate solution having their respective limitations. The main objective of this project, being its first application to oil and gas industry, is to use a new mathematical technique, the homotopy analysis method (HAM) to solve the Radial Diffusivity Equation for slightly compressible fluid. In Using HAM, the Boltzmann transformation method was used to transform the Radial PDE to ODE, then a homotopy series was then constructed for the new Equation with the linear boundary condition from the original Radial Diffusivity Equation of slightly compressible fluid and the final Equation then solved using computation software Maple. The result gotten reveals that the homotopy analysis method gives good results compared to the Van Everdingen and Hurst Solution (Exact solution) and thus proves to be very effective, simple, and accurate when compared to other form of solutions. Hence from the results gotten, Homotopy Analysis Method can therefore be applied in solving other nonlinear Equations in the petroleum engineering field since it is simple and accurate.
Olugbenga Adebanjo Falode  One of the best experts on this subject based on the ideXlab platform.

Homotopy Analysis Solution to Radial Diffusivity Equation of Slightly Compressible Fluid
Applied Mathematicsa Journal of Chinese Universities Series B, 2016CoAuthors: Olugbenga Adebanjo Falode, Victor Sunday ChukwunagoluAbstract:The salient significance of the solution of Radial Diffusivity Equation to well testing analysis done in oil and gas industry cannot be overemphasized. Varieties of solutions have been proposed to the Radial Diffusivity Equation, of which the Van EverdingenHurst constant terminal rate solution is the most widely accepted and the others are approximate solution having their respective limitations. The main objective of this project, being its first application to oil and gas industry, is to use a new mathematical technique, the homotopy analysis method (HAM) to solve the Radial Diffusivity Equation for slightly compressible fluid. In Using HAM, the Boltzmann transformation method was used to transform the Radial PDE to ODE, then a homotopy series was then constructed for the new Equation with the linear boundary condition from the original Radial Diffusivity Equation of slightly compressible fluid and the final Equation then solved using computation software Maple. The result gotten reveals that the homotopy analysis method gives good results compared to the Van Everdingen and Hurst Solution (Exact solution) and thus proves to be very effective, simple, and accurate when compared to other form of solutions. Hence from the results gotten, Homotopy Analysis Method can therefore be applied in solving other nonlinear Equations in the petroleum engineering field since it is simple and accurate.
M. Enamul Hossain  One of the best experts on this subject based on the ideXlab platform.

Numerical modeling of a memorybased Diffusivity Equation and determination of its fractional order value
Computational Geosciences, 2020CoAuthors: Tareq Uz Zaman, Scott Maclachlan, M. Enamul HossainAbstract:Conventional diffusion Equations for fluid flow through porous media do not consider the effects of the history of rock, fluid, and flow. This limitation can be overcome by the incorporation of “memory” in the model, using fractionalorder derivatives. Inclusion of fractionalorder derivatives in the diffusion Equation, however, adds complexity to both the Equation and its numerical approximation. Of particular importance is the choice of temporal mesh, which can dramatically affect the convergence of the scheme. In this article, we consider a memorybased Radial Diffusivity Equation, discretized on either uniform or graded meshes. Numerical solutions obtained from these models are compared against analytical solutions, and it is found that the simulation using properly chosen graded meshes gives substantially smaller errors compared to that using uniform meshes. Experimental data from onedimensional flow through a porous layer with constant pressure gradient are collected from the literature and used to fit the fractional order in the Diffusivity Equation considered here. A reasonable value of the fractional order is found to be 0.05; this is further validated by performing numerical simulations to match these experiments, demonstrating substantial improvement over the classical Darcy’s model.
M A Mian  One of the best experts on this subject based on the ideXlab platform.

petroleum engineering handbook for the practicing engineer
1992CoAuthors: M A MianAbstract:Principles of transient test analysis  characteristics of various flow regimes, the RadialDiffusivity Equation, principle of superposition, gas flow through porous media transient testing of oil and gas wells  productivity index tests, pressure buildup tests, estimating average reservoir pressure, gas well buildup test analysis pressure drawdown testing, analysis of well tests using type curves, gas well backpressure tests, other well tests, use of pressure derivative in well test analysis, pressure analysis for horizontal wells drilling technology  rotary drilling, drillstring design, casing design, drilling hydraulics, drilling fluid selection, directional drilling and deviation control, hole problems, kick control and blowout precvention, cementing production technology  length and force changes in tubing, well stimulationhydraulic fracturing and acidizing, well performance evaluation, gas lift design, sucker rod pumping, gas compression, oil and gas separators, handling and treatment of gas, water and gas coning.