Practical pressure-transient analysis solutions for a well intercepted by finite conductivity vertical fracture in naturally fractured reservoirs

Practical interpretation of pressure tests of hydraulically fractured vertical wells with finite-conductivity in naturally fractured oil and gas formations

“…They were also based on Warren-Root considerations which means that the physical model and assumptions are essentially the same. However, Wei et al (2021) stated that semi-analytical or numerical solutions are the most used for pressure-transient analysis for finite-conductivity fractured wells in naturally fractured reservoir now. However, these just mentioned solutions are time-consuming and easily encounter some computation problems, such as accuracy, convergence and stability.…”

“…There are two noticeable differences between the pressure traces generated by the models of Wei et al (2021) and Cinco-Ley and Meng (1988): (1) For dimensionless fracture conductivity (C fD ) less than 3, the first one does not display the classical trough during the transition period found on naturally fractured formations, and only bilinear flow is observed. For C fD > 3, a bilinear flow regime is first observed then a trough interrupts the bilinear flow regime, but a bi-radial (elliptical) flow regime follows and, later, the radial flow regime is again interrupted by a trough.…”

“…Several other important solutions have also been introduced, even including trilinear model. Finally, Wei et al (2021) just introduced some very practical Laplacian solutions for finite-conductivity fractures which possess small differences with the solution provided Cinco- Ley and Meng (1988) and are worth of providing an interpretation technique which is the matter of this paper.…”

“…There is no trough during radial flow regime. Thereby, the objective of this work is to provide an interpretation technique for the model of Wei et al (2021) applicable to both oil and gas wells (Appendix A). Some existing expressions presented by Engler and Tiab (1996), Tiab and Bettam (2007) and Escobar et al (2015) were found to work here, and other were developed and successfully tested with synthetical and real examples.…”

“…Some existing expressions presented by Engler and Tiab (1996), Tiab and Bettam (2007) and Escobar et al (2015) were found to work here, and other were developed and successfully tested with synthetical and real examples. Wei et al (2021) presented a novel and practical analytical well pressure solutions for finite-conductivity fractured wells in naturally occurring formations. This model considers the following assumptions: (1) The fracture in symmetrical around the wellbore and it possesses constant values of height, half-fracture length, width and permeability.…”