This problem can be solved numerically, by methods such as in the iterative math’s of a MS Excel Spreadsheet. More details in the article ahead.
... or it can be addressed by the so called inverse problem.
Beta μ
ABSTRACT
The task of building of a functional groundwater flow model on a spreadsheet has become a traditional exercise in many hydrogeology classes around the world. From the seminal paper of Theo Olsthoorn (1985), the drawing of potential functions (ΛΦ) are easily implemented by simple iterative numerical calculations, which makes use of the eventual annoying “circular reference error” of some standard application. The associated stream functions (ΔΨ) approach is an alternative to be used, but difficulties emerge if attempts are made to have these two solutions at once. In this paper an expedite method is proposed to have a quick grasp of the interaction between potential and stream functions. The relaxation method was described, and a theoretical example tests the projections within a plausible a geological scenario.
