A New Quantitive Predicting Model of Fracturing Fluid Flow-back: Based on Fractal Theory and Fuzzy Statistic Method

With the dramatically expanding of the horizontal well drilled and hydraulic fracturing technology, the exploitation of shale gas has entered a new phase. The complex fracture network will be formed during the massive hydraulic fracturing, which is difficult to be described precisely in mathematical models. Based on Fractal theory, a new mathematical description of gas and liquid flow in single stage of hydraulic fracture network is proposed and a BHFP superposition model of multistage fracture network is established to describe the fracture development and distribution information. This BHFP superposition model characterizes the reservoir heterogeneity by Fuzzy statistical method and can easily accomplish the historical matching task of production data by genetic algorithm. Our model has achieved good prediction results in the application of typical production wells in Fuling shale gas field.