An integral equation formulation for the unconfined flow of groundwater with variable inlet conditions

Autor:	P. A. Witherspoon, Yanis C. Yortsos, G.S. Bodvarsson, Z.-X. Chen
Rok vydání:	1995
Předmět:	geography Hydrogeology geography.geographical_feature_category General Chemical Engineering Inlet Integral equation Catalysis Physics::Fluid Dynamics Nonlinear system Transformation (function) Hodograph Flow (mathematics) Calculus Applied mathematics Mathematics Variable (mathematics)
Zdroj:	Transport in Porous Media. 18:15-36
ISSN:	1573-1634 0169-3913
DOI:	10.1007/bf00620658
Popis:	We combine an integral equation formulation with a hodograph transformation to solve self-similar problems describing the unconfined flow of groundwater with variable inlet conditions. A class of new semi-analytical solutions is obtained for both rectilinear and radial flow geometries. The solutions are in general agreement with those derived by Barenblatt, although there are some discrepancies for the case of radial flow. The formulation presented provides additional analytical insight, and for computational purposes is simpler than Barenblatt's. In addition, the method proposed can be successfully used for the solution of a host of other nonlinear problems that admit self-similarity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5cbdd2558ca06202b2e02ac9000b30c8 https://doi.org/10.1007/bf00620658 Zobrazit plný text záznamu Full text from SpringerLink