A Novel Method for Verifying the Performance of an Analytical Solution Governing the Fluid Flow From a Perforated Cylinder to Confined Porous Medium with Dirichlet Boundary Using the Test Data of Neumann Boundary Problem

Abstract

The performance of a well installed under-specific situation can accurately be reviewed from pumping-test data with the use of analytical/semi-analytical solution derived for the said state. For verifying the performance of the derived solution, it is best to compare its results with the field observations. Nevertheless, in comparison to constant pumping-rate well (Neumann bound-ary problem) test results, availability of documented data from the field studies of constant draw-down/flowing wells (Dirichlet boundary problem) is very rare. Hence, a novel method is proposed by which the performance of an analytical/semi-analytical solution derived for constant draw-down/flowing well can be verified using constant pumpingrate well test data before its application to the actual field problems The proposed method is demonstrated by comparing and verifying the results of a standard semi-analytical solution for a constant-drawdown well (i.e. flowing well) with the constant pumping-rate well-test observations.