By Zhangxin Chen
This ebook bargains a primary and functional creation to using computational equipment, rather finite point tools, within the simulation of fluid flows in porous media. it's the first publication to hide a large choice of flows, together with single-phase, two-phase, black oil, risky, compositional, nonisothermal, and chemical compositional flows in either usual porous and fractured porous media. furthermore, a number of computational tools are used, and benchmark difficulties of 9 comparative resolution initiatives equipped through the Society of Petroleum Engineers are awarded for the 1st time in e-book shape. Computational equipment for Multiphase Flows in Porous Media stories multiphase movement equations and computational ways to introduce simple terminologies and notation. an intensive dialogue of useful facets of the topic is gifted in a constant demeanour, and the extent of remedy is rigorous with out being unnecessarily summary. every one bankruptcy ends with bibliographic info and routines. This ebook can be utilized as a textbook for graduate or complicated undergraduate scholars in geology, petroleum engineering, and utilized arithmetic, and as a reference e-book for pros in those fields, in addition to scientists operating within the region of petroleum reservoir simulation. it will probably even be used as a guide for staff within the oil who want a simple figuring out of modeling and computational procedure thoughts and via researchers in hydrology, environmental remediation, and a few parts of organic tissue modeling. Calculus, physics, and a few acquaintance with partial differential equations and straightforward matrix algebra are beneficial necessities. record of Figures; record of Tables; Preface; bankruptcy 1: creation; bankruptcy 2: circulation and shipping Equations; bankruptcy three: Rock and Fluid houses; bankruptcy four: Numerical equipment; bankruptcy five: answer of Linear platforms; bankruptcy 6: unmarried section movement; bankruptcy 7: Two-Phase circulation; bankruptcy eight: The Black Oil version; bankruptcy nine: The Compositional version; bankruptcy 10: Nonisothermal move; bankruptcy eleven: Chemical Flooding; bankruptcy 12: Flows in Fractured Porous Media; bankruptcy thirteen: Welling Modeling; bankruptcy 14: specified issues; bankruptcy 15: Nomenclature; bankruptcy sixteen: devices; Bibliography; Index.
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Extra resources for Computational Methods for Multiphase Flows in Porous Media (Computational Science and Engineering)
20 Chapter 2. Flow and Transport Equations With the definition of qmf, we now establish a boundary condition on the surface of each matrix block in a general fashion. Gravitational forces have a special effect on this condition. Moreover, pressure gradient effects must be treated on the same footing as the gravitational effects. 7) as a function of p. 33) unless the rock and fluid are incompressible. In that case, set 4>° = 0. For the model described, the highly permeable fracture system rapidly comes into equilibrium on the fracture spacing scale locally.
If one of the densities varies, this equation becomes parabolic. 48) is a parabolic equation, which is degenerate in the sense that the diffusion can be zero. This equation becomes hyperbolic if the capillary pressure is ignored. The total velocity is used in the global pressure formulation. This velocity is smoother than the phase velocities. 40) (Chen and Ewing, 1997B). 40). 4; see the next subsection for the formulation in hyperbolic form. 3. 4. f Formulation in hyperbolic form Assume that pc = 0 and that rock compressibility is neglected.
It can be also used as a handbook for employees in the oil industry who need a basic grasp of modeling and computational method concepts. It can also serve as a reference book for geologists, petroleum engineers, applied mathematicians, and scientists in the area of petroleum reservoir simulation. Calculus, basic physics, and some acquaintance with partial differential equations and simple matrix algebra are necessary prerequisites. Chapters 2 through 5 form the essential material for a course.