The Mathematics of oil recovery : based on the proceedings of a conference on the mathematics of oil recovery, organized by the Institute of Mathematics and its Applications, in association with the Society of Petroleum Engineers and held at Robinson College, Cambridge in July 1989

書誌事項

The Mathematics of oil recovery : based on the proceedings of a conference on the mathematics of oil recovery, organized by the Institute of Mathematics and its Applications, in association with the Society of Petroleum Engineers and held at Robinson College, Cambridge in July 1989

edited by P.R. King

(The Institute of Mathematics and its Applications conference series, new ser., 31)

Clarendon Press , Oxford University Press, 1992

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注記

Includes bibliographical references

内容説明・目次

内容説明

The conference on which this book is based was the first in a series of European meetings on the mathematical aspects of oil recovery problems. It concentrated on three main themes: The statistical description of porous media and geological environments at various length scales; the derivation of appropriate, spatially averaged equations for multiphase displacement processes; and the solution of the resulting equations by numerical methods. This is a broad subject area with many active researchers from industry, government institutions and universities. The aim of the meeting was to bring together mathematicians and engineers to discuss common problems. These proceedings represent both the oral presentations made at the meeting and the poster presentations.

目次

  • A review of reservoir simulation techniques and considerations on future developments
  • simulation of waterflood fracture growth with coupled fluid flow, temperature and rock elasticity
  • corner point geometry in reservoir simulation
  • a boundary element solution to the transient pressure response of multiply fractured horizontal wells
  • a convective segregation model for predicting reservoir fluid compositional distribution
  • effects of heterogeneities on phase behaviour in enhanced oil recovery
  • on the strict hyperbolicity of the Buckley-Leverett equations for three-phase flow
  • application of fractional-flow theory to 3-phase, 1-dimensional surfactant flooding
  • averaging of relative permeability in heterogeneous reservoirs
  • equations for two-phase flow in porous media derived from space averaging
  • statistical physics and fractal displacement patterns in porous media
  • simulations of viscous fingering in a random network
  • a simple analytical model of the growth of viscous fingers in heterogeneous porous media
  • simple renormalization schemes for calculating effective properties of heterogeneous reservoirs
  • finite element principles for evolutionary problems, with applications to oil reservior modelling
  • multigrid methods in modelling porous media flow
  • local grid refinement
  • analysis of a model of sequential numerical method for thermal reservoir simulation
  • operator splitting and domain decomposition techniques for reservoir flow problems
  • simulation of compositional reservoir phenomena on the hypercube
  • the parallelization of Bosim, Shell's black/volatile oil reservoir simulator
  • Monte Carlo simulation of lithology from seismic data in a channel-sand reservoir
  • numerical rocks
  • modelling flow through heterogeneous porous media using effective relative permeabilities generated from detailed simulations
  • viscous/gravity scaling of pseudo relative permeabilities for the simulation of moderately heterogeneous reservoirs
  • microscopic flow and generalized Darcy's equations
  • prediction of permeability from a combination of mercury injection and pore image analysis data
  • the inclusion of molecular diffusion effects in the network modelling of hydrodynamic dispersion in porous media
  • the network simulation of displacement processes in fractured reservoir matrix blocks
  • an analytical solution to a multiple-region moving boundary problem - nonisothermal water injection into oil reservoirs
  • statistical and experimental calculation of effective permeabilities in the presence of oblique shales
  • reservoir simulation using mixed methods, a modified method characteristics and local grid refinement
  • tracking an in-situ combination front using the thin flame technique. (Part Contents)

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