The modeling error of well treatment for unsteady flow in porous media

Ting  Zhang

doi:10.3934/dcdsb.2015.20.2171

Article Contents

2015, Volume 20, Issue 7: 2171-2185. Doi: 10.3934/dcdsb.2015.20.2171

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The modeling error of well treatment for unsteady flow in porous media

Ting Zhang^1,

1.
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu

Received: August 2014

Revised: November 2014

Published: September 2015

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Abstract

In petroleum engineering, the well is usually treated as a point or line source, since its radius is much smaller than the scale of the whole reservoir. In this paper, we consider the modeling error of this treatment for unsteady flow in porous media.

Keywords:

Well model,
well treatment,
unsteady flow,
nonlocal equivalued surface boundary condition,
error estimate.

Mathematics Subject Classification: Primary: 35B40, 35K20.

Citation:

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