A new permeability model of fracture containing proppants

Investigation of the Gas Pressure Field and Production Rate for Two Typical Proppants: Small-Sized Continuous and Large-Sized Discontinuous Proppants

“…The region outside the stimulation area is called the original reservoir region (referred to as the outer region) because it is not subject to the stimulation effect of artificial fracturing. The specific assumptions of the trilinear flow model include [13,[30][31][32]: (1) The three regions of the reservoir are isothermal, homogeneous, uniform in thickness, and closed in outer boundary;…”

“…The high pressure forces the rock rupture to form fractures and eventually form artificial fractures in the formation [6][7][8]. At present, hydraulic fracturing technology has been widely used in the field of reservoir stimulation and permeability enhancement of coal, shale, and tight sandstone [9][10][11][12][13].…”

“…Medvedev et a (2013) [27] found that the permeability of a fracture containing large-sized proppant wa much higher than that of proppant packs. Li et al [13] drew on Gillard's research idea an proposed a layout scheme of large-sized proppant, as shown in Figure 2. Li's researc shows that the large-sized proppant can significantly improve fracture permeability Gillard's research shows that the use of discontinuous proppant distribution can significantly improve the fracture permeability [25].…”

“…Li's research shows that the large-sized proppant can significantly improve fracture permeability. Essentially, the discrete proppant package mentioned by Gillard is equivalent to the large cylindrical proppant mentioned by Li et al [13].…”

“…Essentially, the discrete proppant package mentioned by Gillard is equivalent to the large cylindrical proppant mentioned by Li et al [13]. Although Gillard and Li pointed out that the large-sized proppant can improve the fracture permeability, the improvement level has not been quantitatively evaluated yet.…”