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A Systems Description of Flow Through Porous MediaSystem Response

A Systems Description of Flow Through Porous Media: System Response [This chapter first treats the analytical solution of linear systems of ordinary-differential equations for single-phase flow. Next it moves on to the numerical solution of (nonlinear) two-phase flow equations, covering various aspects like implicit, explicit or mixed (IMPES) time discretizations and associated stability issues, Newton-Raphson iteration, streamline simulation, automatic time-stepping, and other computational aspects. The chapter concludes with simple numerical examples to illustrate these and other aspects such as mobility effects, well-constraint switching, time-stepping statistics, and system-energy accounting.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Systems Description of Flow Through Porous MediaSystem Response

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2013
ISBN
978-3-319-00259-0
Pages
79 –113
DOI
10.1007/978-3-319-00260-6_3
Publisher site
See Chapter on Publisher Site

Abstract

[This chapter first treats the analytical solution of linear systems of ordinary-differential equations for single-phase flow. Next it moves on to the numerical solution of (nonlinear) two-phase flow equations, covering various aspects like implicit, explicit or mixed (IMPES) time discretizations and associated stability issues, Newton-Raphson iteration, streamline simulation, automatic time-stepping, and other computational aspects. The chapter concludes with simple numerical examples to illustrate these and other aspects such as mobility effects, well-constraint switching, time-stepping statistics, and system-energy accounting.]

Published: May 24, 2013

Keywords: Time Step Size; Grid Block; Saturation Equation; Saturation Change; Vector Differential Equation

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