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Asymptotic analysis of three‐dimensional pressure interference tests: A point source solution
Author(s) -
Illman Walter A.,
Tartakovsky Daniel M.
Publication year - 2005
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 - 10.1029/2004wr003431
Subject(s) - porosity , rendering (computer graphics) , hydrostatic test , inverse , transient (computer programming) , porous medium , interference (communication) , test data , transient analysis , mathematics , mechanics , computer science , algorithm , geology , geotechnical engineering , transient response , geometry , engineering , channel (broadcasting) , physics , mechanical engineering , computer network , electrical engineering , programming language , operating system , computer graphics (images)
Well test analyses conducted in steady state and transient flow regimes have complementary strengths and drawbacks. While steady state analyses are easy to interpret, they are useful only on a late‐time portion of the data collected during pressure interference tests and do not provide estimates of porosity. Transient type curve and numerical inverse approaches overcome these shortcomings but are harder to analyze, and their reliability can be affected by changing external forcings. We develop a new approach to estimate permeability and porosity from well tests, which is based on an asymptotic analysis of pressure transients during three‐dimensional pressure interference tests. Our approach results in a straight line data fitting, rendering the data interpretation straightforward. It also allows one to use intermediate‐to‐late time pressure data. To illustrate the advantages of the proposed technique, we use it to analyze data from several cross‐hole pneumatic injection tests conducted in unsaturated fractured tuff. We demonstrate that the equivalent permeabilities and porosities obtained from our analysis compare well with their counterparts inferred from more complicated approaches, such as type curve and numerical inverse analyses as well as from a steady state analysis.