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A similarity method for geothermal well test analysis
Author(s) -
O'Sullivan Michael J.
Publication year - 1981
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/wr017i002p00390
Subject(s) - flashing , geothermal gradient , partial differential equation , similarity (geometry) , nonlinear system , constant (computer programming) , flow (mathematics) , ordinary differential equation , geothermal energy , differential equation , mathematics , mathematical analysis , mechanics , geology , physics , computer science , geometry , materials science , programming language , quantum mechanics , artificial intelligence , geophysics , metallurgy , image (mathematics)
The nonlinear partial differential equations governing mass and energy transport in a geothermal reservoir are reduced to simpler ordinary differential equations by the use of a similarity variable r t . For the idealization of a constant flow rate line source in a uniform horizontal reservoir the resulting equation can be numerically integrated for either two‐phase, single‐phase, or flashing flow.