| The hydraulic fracturing has been successfully tested in the United States since 1947 until now. And it has already been developed from a simple and low fluid volume, low displacement fracturing well stimulation method into a mature technology. The fracturing technology is the most important and effective development method in domestic and foreign oil and gas fields of low permeability. The fracturing technology for single well has already developed to the present integral hydraulic fracturing technology which is considered to the hydraulic fracturing, reservoir engineering, production engineering and economic evaluation etc. In recent years, the geological reserves of low permeability and ultra-low permeabilitl reservoirs of external region have been developed in Daqing Oilfield and the wells depending on the fracturing to produce have been increasing gradually every year. Under the given conditions of the reservoir, it is very important that the stimulation technique of integral hydraulic fracturing to consider the artificial fracture parameters matching with well patterns. Optimization of the artificial fracture reasonable parameters has much guiding significance for determining the scale hydraulic fracturing and establishing the well pattern project.Currently, the integral hydraulic fracturing technique can only do numerical simulation calculation with an angle of 0o or 45o between artificial fractures and well rows in five-spot or inverted-9-spot patterns. Based on the former numerical simulation method on vertical fracture for integral hydraulic fracturing, this paper builds up a new numerical simulation calculation method with an arbitrary angle between artificial fractures and well rows in five-spot or inverted-9-spot patterns, can resolve availably the problem of numerical simulation calculation on vertical fracture for integral hydraulic fracturing with an arbitrary angle between artificial fractures and well rows.
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