Modeling of impact of hydraulic fractures on the process of fluid displacement from low-permeability sedimentary rocks
Keywords:numerical methods for quasiconformal mappings, hydraulic fractures, pattern waterflooding, nonlinear problems
Mathematical modeling of fluid displacement from lowpermeability (shale) sedimentary rocks in the pattern waterflooding elements considering the impact of hydraulic fractures is performed. Based on numerical methods of comprehensive analysis (quasiconformal mappings), numerical algorithms for the calculation of filtration characteristics: saturation field, velocity quasipotential, time of the displacing fluid breakthrough to the production well and its complete waterflooding are developed. The algorithm also allows determining the coordinates of the critical “suspension” points and their quasipotential values, fluid interface position at different time points, the overall filtration rate of the production well, the dependence of oil fraction in it. For an effective analysis of the research, calculations of the volume of the displaced fluid in the reservoir within a certain time and the volume of the remaining fluid in the reservoir at an arbitrary time are performed. This allowed predicting the rate of waterflooding of production wells and identifying the features of operation under the projected arrangement of wells and hydraulic fractures on them. It was found that the “transverse direction” (with respect to injection wells) of hydraulic fractures accelerates the time of the displacing reagent breakthrough to the production well (although provides some growth of oil withdrawal values at the initial stages), and their “longitudinal” direction reduces the number of oil stagnation zones.
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Copyright (c) 2016 Andriy Bomba, Alesya Sinchuk
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