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Preprints
https://doi.org/10.5194/se-2019-170
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/se-2019-170
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Submitted as: research article 21 Jan 2020

Submitted as: research article | 21 Jan 2020

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A revised version of this preprint was accepted for the journal SE and is expected to appear here in due course.

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

Patricio-Ignacio Pérez D.1, Adrián-Enrique Ortiz R.2, and Ernesto Meneses Rioseco3 Patricio-Ignacio Pérez D. et al.
  • 1Department of Mechanical Engineering, Universidad Técnica Federico Santa María, Valparaíso, 2340000, Chile
  • 2Department of Chemical and Environmental Engineering, Universidad Técnica Federico Santa María, Valparaíso, 2340000, Chile
  • 3Department of Geothermics and Information Systems, Leibniz Institute for Applied Geophysics, Hannover, 30655, Germany

Abstract. This work studies intensively the flow in fractures with finite hydraulic conductivity intersected by a well injecting/producing at constant pressure. Previous investigations showed that for a certain time the reciprocal of flow rate is proportional to the fourth root of time, which is characteristic of the flow regime known as bilinear flow. Using a 2D numerical model, 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 or production well pressure, as well as, an expression for the bilinear hydraulic diffusivity of fractures with finite hydraulic conductivity. To determine the termination of bilinear flow regime, two different methods were used: (a) numerically measuring the transient of flow rate in the well and (b) analyzing the propagation of isobars along the fracture. Numerical results show that for low fracture conductivities the transition from bilinear flow to another flow regime occurs before the pressure front reaches the fracture tip and for high fracture conductivities it occurs when the pressure front arrives at the fracture tip. Hence, this work complements and advances previous research on the interpretation and evaluation of well test analysis under different reservoir conditions. Our results aim at improving the understanding of the hydraulic diffusion in fractured geologic media and as a result they can be utilized for the interpretation of hydraulic tests, for example to estimate the fracture length.

Patricio-Ignacio Pérez D. et al.

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Patricio-Ignacio Pérez D. et al.

Patricio-Ignacio Pérez D. et al.

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Latest update: 11 Jul 2020
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Short summary
Using numerical modeling, this work studies fluid flow in finite fractures with relatively low hydraulic conductivity that are injected with a fluid at constant pressure while the flow changes over time. The simulations show that during bilinear flow regime, the migration of isobars along the fracture are proportional to the fourth root of the product between the bilinear hydraulic diffusivity and the time. Our results are particularly useful for the interpretation of hydraulic tests.
Using numerical modeling, this work studies fluid flow in finite fractures with relatively low...
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