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A Mean Value Theorem in Pore Pressure Evaluation by the Method of Images
Author(s) -
Ransford G. D.
Publication year - 1970
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/wr006i002p00645
Subject(s) - streamlines, streaklines, and pathlines , laplace transform , computation , domain (mathematical analysis) , sink (geography) , geometry , geology , mathematics , mean value , mathematical analysis , mechanics , hydrology (agriculture) , geotechnical engineering , physics , algorithm , geography , statistics , cartography
It is shown that mean pore pressure measured transversally through a rectangular domain in which groundwater flow is taking place from front to rear, the side boundaries being themselves streamlines, varies linearly from one sink (or source) to another provided such sinks or sources are located on the centerline of the domain, midway between the side faces. The computation of the mean pore pressure at any section is easily done. The specific application is to uplift evaluation in concrete dams, but the theorem applies to any problem governed by the Laplace theorem.