Abstract: The hydraulic fracturing are widely used in oil field as a good means of the exploit of low permeability oilgas reservoir and the output increase of oil field. To make the hydraulic fracturing scheme economic, reasonable, and improved, a numerical solution is given to the mathematic model of predicting the hydraulic fracturing oil's output on condition of constant wellbored Pressure production of oil-gas reservoir. The various conditions and elements needed to be considered for the model are described. It provides an overview on the numerical solution of nonlinear parabolic oil-gas reservoir equations with the fracture in the area and the coefficient depending on the unknown function.

Key words: oil-gas reservoir, hydraulic fracturing, numerical simulation