On a Mathematical Model of the Productivity Index of a Well from Reservoir Engineering

DOI10.1137/040607654zbMath1102.76071OpenAlexW2084065501MaRDI QIDQ5317487

Peter P. Valkó, Akif Ibragimov, Dinara Khalmanova, Jay R. Walton

Publication date: 16 September 2005

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1969.1/178672

zbMATH Keywords

parabolic equationdiffusive capacity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)

Related Items (9)

Well productivity index for compressible fluids and gases ⋮ Fluid flows of mixed regimes in porous media ⋮ Fracture model reduction and optimization for Forchheimer flows in reservoirs ⋮ Time asymptotics of non-Darcy flows controlled by total flux on the boundary ⋮ Analysis of generalized Forchheimer flows of compressible fluids in porous media ⋮ Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering ⋮ MATHEMATICAL FRAMEWORK OF THE WELL PRODUCTIVITY INDEX FOR FAST FORCHHEIMER (NON-DARCY) FLOWS IN POROUS MEDIA ⋮ Integrated interpretation of interwell connectivity using injection and production fluctuations ⋮ Long-term dynamics for well productivity index for nonlinear flows in porous media

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