Articles | Volume 11, issue 4
https://doi.org/10.5194/se-11-1423-2020
https://doi.org/10.5194/se-11-1423-2020
Research article
 | 
28 Jul 2020
Research article |  | 28 Jul 2020

Bilinear pressure diffusion and termination of bilinear flow in a vertically fractured well injecting at constant pressure

Patricio-Ignacio Pérez Donoso, Adrián-Enrique Ortiz Rojas, and Ernesto Meneses Rioseco

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Subject area: The evolving Earth surface | Editorial team: Rock deformation, geomorphology, morphotectonics, and paleoseismology | Discipline: Mineral and rock physics
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Cited articles

Arps, J. J.: Analysis of Decline Curves, Trans. AIME, 160, 228–247, https://doi.org/10.2118/945228-G, 1945. 
Agarwal, R. G., Carter, R. D., and Pollock, C. B.: Evaluation and Performance Prediction of Low-Permeability Gas Wells Stimulated by Massive Hydraulic Fracturing, J. Pet. Technol., 31, 362–372, https://doi.org/10.2118/6838-PA, 1979. 
Barenblatt, G., Zheltov, I., and Kochina, I.: Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata], J. Appl. Math. Mech., 24, 1286–1303, https://doi.org/10.1016/0021-8928(60)90107-6, 1960. 
Berumen, S., Samaniego, F., and Cinco, H.: An investigation of constant-pressure gas well testing influenced by high-velocity flow, J. Petrol. Sci. Eng., 18, 215–231, https://doi.org/10.1016/S0920-4105(97)00014-4, 1997. 
Cinco-Ley, H. and Samaniego-V., F.: Transient Pressure Analysis for Fractured Wells, J. Pet. Technol., 33, 1749–1766, https://doi.org/10.2118/7490-PA, 1981. 
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Short summary
This work studies intensively the flow in fractures with finite hydraulic conductivity intersected by a well injecting/producing at constant pressure. We demonstrated that during the bilinear flow regime the transient propagation of isobars along the fracture is proportional to the fourth root of time. Moreover, we present relations to calculate the termination time of bilinear flow under constant injection/production well pressure. Our results can be utilized to estimate the fracture length.