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Adapting geostatistical transmissivity simulations to finite difference flow simulators
Author(s) -
Roth Chris,
Chilès JeanPaul,
Fouquet Chantal
Publication year - 1996
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/96wr01828
Subject(s) - flow (mathematics) , finite difference , point (geometry) , mathematics , scale (ratio) , finite difference method , hydrogeology , field (mathematics) , porous medium , flux (metallurgy) , finite element method , mathematical analysis , mechanics , geotechnical engineering , geometry , geology , physics , materials science , porosity , quantum mechanics , pure mathematics , metallurgy , thermodynamics
The validity of hydrogeological studies is often dependant on the correct estimation of the flux (or, equivalently, the equivalent transmissivity) of the field. However, depending on the level of fine‐scale heterogeneity of the porous media considered, flow simulators based on the finite differences algorithm can be shown to underestimate the equivalent transmissivity. This result is shown to depend on the value on the intermesh transmissivities and not the mesh transmissivities. When working with geostatistically simulated point support transmissivities, intermesh transmissivities can be directly calculated so that the finite differences result obtained is consistent with the spatial transmissivity distribution.