Pressure dynamics of asymmetrically fractured wells in an arbitrarily shaped reservoir

A numerical model is established and with the model, the boundary element method and the coupled boundary/finite element method are used to analyze the pressure dynamics of an asymmetrically fractured well in an arbitrarily shaped reservoir. The equation is solved in the Laplace domain, with different flow regimes with or without considerations of the wellbore storage and skin effects. The parameter sensitivity analyses, including the asymmetry factor, the fracture conductivity, the outer boundary shape, the boundary size and the well location, are conducted. The model is validated by comparing the results with those of analytical solutions of two simplified cases and a field case study. The study can be used for the well testing interpretation and the hydraulic fracturing design.