A multistep fundamental solution scheme for modeling groundwater flow

A new numerical scheme for solving transient pressure in a confined aquifer ispresented. It is based on the fundamental solution method (FSM) and it combinesfree Green functions, superposition principle, and singular value decomposition (SVD)method to obtain an efficient computational algorithm to a...

Full description

Main Authors: Guevara Jordan, Juan M., Da Silva Rodrigues, Carmen M.
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/1423
http://hdl.handle.net/10669/12951
Summary: A new numerical scheme for solving transient pressure in a confined aquifer ispresented. It is based on the fundamental solution method (FSM) and it combinesfree Green functions, superposition principle, and singular value decomposition (SVD)method to obtain an efficient computational algorithm to approximate unsteady pressurein general two dimensional groundwater problems. Its mathematical formulationavoids integral equations, is meshfree, and its new multistep approach provides veryaccurate approximation of full transient aquifer pressure along any period of time.The new scheme was validated with synthetic aquifers problems with constant andvariable well rates. Its applications to arbitrary shaped aquifer with multiple wellsis developed and analyzed. Numerical results gave evidence that the new schemeis a versatile tool and an alternative choice to boundary element methods to solvegroundwater problems.Keywords: multistep, meshless, fundamental solution method, free Green function, singularvalue decomposition.