Chapter 2

Single-Phase Fluid Flow in a Two-Layer Reservoir with Significant Crossflow

Abstract

Single-phase flow of a slightly compressible fluid is considered in a two-layer, infinite reservoir. The layers are separated everywhere by a semipermeable barrier, which allows significant crossflow. Solutions are obtained for pressure response and crossflow during drawdown and buildup tests when both layers are perforated and when only one layer is completed.

The numerical results provided an asymptotic analytical solution for pressure and crossflow, in terms of a modified Boltzmann variable. Analytical approximations were discovered for crossflow, which apply during “middle” times (the time before area crossflow rate reaches it's stationary limit). ...

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