By Zhangxin Chen
This ebook deals a primary and useful advent to using computational tools, quite finite point tools, within the simulation of fluid flows in porous media. it's the first ebook to hide a large choice of flows, together with single-phase, two-phase, black oil, unstable, compositional, nonisothermal, and chemical compositional flows in either traditional porous and fractured porous media. additionally, a number of computational equipment are used, and benchmark difficulties of 9 comparative answer initiatives geared up through the Society of Petroleum Engineers are provided for the 1st time in e-book shape. Computational equipment for Multiphase Flows in Porous Media stories multiphase circulation equations and computational tips on how to introduce simple terminologies and notation. an intensive dialogue of functional elements of the topic is gifted in a constant demeanour, and the extent of therapy is rigorous with out being unnecessarily summary. each one bankruptcy ends with bibliographic details and routines. This e-book can be utilized as a textbook for graduate or complicated undergraduate scholars in geology, petroleum engineering, and utilized arithmetic, and as a reference publication for pros in those fields, in addition to scientists operating within the quarter of petroleum reservoir simulation. it could actually even be used as a guide for staff within the oil who want a easy figuring out of modeling and computational procedure techniques and by means of researchers in hydrology, environmental remediation, and a few components of organic tissue modeling. Calculus, physics, and a few acquaintance with partial differential equations and easy matrix algebra are valuable must haves. record of Figures; record of Tables; Preface; bankruptcy 1: creation; bankruptcy 2: stream and shipping Equations; bankruptcy three: Rock and Fluid homes; bankruptcy four: Numerical tools; bankruptcy five: resolution of Linear structures; bankruptcy 6: unmarried section stream; bankruptcy 7: Two-Phase movement; bankruptcy eight: The Black Oil version; bankruptcy nine: The Compositional version; bankruptcy 10: Nonisothermal circulation; bankruptcy eleven: Chemical Flooding; bankruptcy 12: Flows in Fractured Porous Media; bankruptcy thirteen: Welling Modeling; bankruptcy 14: precise 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)
8 Chapter 1. 4. SI unit prefixes. ) One billionth of One millionth of One thousandth of One hundredth of One tenth of Ten times One hundred times One thousand times One million times One billion times One trillion times There are several quantities that have the exact same or approximate numerical value between the SI and practical units: 1 cp = 1 mPa-s, 1 Btu & 1 kJ, 1 dyne/cm = 1 mN/m, 1 darcy & I /urn2, 1 ppm «a 1 g/m3. 615 ft3, 1 day = 24 hrs, 1 darcy = 1,000 md, More unit conversions will be stated in Chapter 16.
3 Linear System Solvers For a petroleum reservoir simulator with a number of gridblocks of order 100,000, about 80%-90% of the total simulation time is spent on the solution of linear systems. Thus the choice of a fast linear solver is crucial in reservoir simulation. In general, a system matrix arising in numerical reservoir simulation is sparse, highly nonsymmetric, and illconditioned. While sparse, its natural banded structure is usually spoiled by wells that perforate into many gridblocks and/or by irregular gridblock structure.
Finite element methods were first introduced by Courant (1943). From the 1950s to the 1970s, they were developed by engineers and mathematicians into a general method for the numerical solution of partial differential equations. , see the biannual SPE numerical simulation proceedings published by the society of petroleum engineers since 1968). In addition to the advantages mentioned above, finite element methods have some peculiar features when applied to reservoir simulation, such as in the reduction of grid orientation effects; in the treatment of local grid refinement, horizontal and slanted wells, and corner point techniques; in the simulation of faults and fractures; in the design of streamlines, and in the requirement of high-order accuracy of numerical solutions.
Computational Methods for Multiphase Flows in Porous Media (Computational Science and Engineering) by Zhangxin Chen