RECKON MODEL OF STABLE STATE OIL RATE OF VERTICAL FRACTURE WELL WITH WELL-BORE FLOW

The seepage flowing pattern of an oil well with a hydraulic fracture is transferred to a simple single direction flowing one by using the method of conformal transformation. After that, a 2th pressure differential equation of seepage flowing with a character of changeable quality in fracture is derived on the basis of seepage flowing analysis of micro- element and of material balance theory as well as darcy’s law. What’s more, the theory of pressure coupling (the pressure is equivalent at the joint of the fracture and the matrix) is also used. Therefore, an equation of estimating oil rate of a hydraulic fracturing well is available which has a various fracture length and conductivity (finite and infinite). Compared with are classical charts and the real postfracturing performance, excellent agreements can be abstained. Furthermore, it is not only simple but also feasible, so that it can be put into field application expediently.