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An Analytical Flow Model for Heterogeneous Multi-Fractured Systems in Shale Gas Reservoirs

Figure 1. Schematic of physical models for hydraulically fractured horizontal wells. (a) The typical five-region flow model proposed by Stalgorova and Mattar [10]. (b) The improved five-region flow model (new model). Fracture half-length: xf; width of the hydraulic fracture: wD; distance from the hydraulic fracture to stimulated reservoir volume (SRV): y1; no flow bound: x2,y2.

An Analytical Flow Model for Heterogeneous Multi-Fractured Systems in Shale Gas Reservoirs Tang et al. [4] established a three-dimensional numerical model based on the construction of spatial discretization by the finite volume method. Wang [5] proposed a unified model for shale gas reservoirs based on discrete fracture networks to investigate shale

Analytical model for pressure and rate analysis of multi-fractured horizontal wells in tight gas reservoirs

Fig. 5 Transient pressure type curves of MFHW in tight gas reservoir

Fractal porosity and permeability were employed to describe the heterogeneous distribution of the complex fracture network. The stress sensitivity of fractures was also considered in the model. Pedrosa substitution and perturbation method were applied to eliminate the nonlinearity of the model. Analytical solutions in the Laplace domain were obtained using

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