A Study Of Performance Analysis Of Horizontal Wells With A Single Or Multiple Fractures

Unsteady porous flow in horizontal wells with single or multiple fractures is a complicated study of mechanics through porous media. Especially for the fractures which are not perforated the formation, the flow process in this system is a coupling flow about the three-dimensional reservoir and the two-dimensional fractures. Because of the complexity of porous flow model and restriction of different reservoir boundaries, to solving this problem is a difficult process. This paper presents porous flow models of horizontal wells with a infinite or finite conductivity fracture in Laplace space. According to different reservoir boundaries and fracture geometrical characters, many mathematics ways are used in this paper such as the theory of source function and Laplace transform. To solve the equations of infinite conductivity fracture porous flow, multiple dimension Green functions are founded by using the Newman product theory of point source functions. Through numerical dispersing of Fredholm integral equations founded for finite conductivity fractures, a half analytical method is used to get the bottom pressure and flow rate distribution of horizontal wells. Based on the solution in Laplace space, the skin factor and storage coefficient are considered in solving the equations conveniently. According different fracture geometrical characters, this paper presents a lot of typical pressure curves and analyzes the flow period of these curves. Based on the theory of porous flow in a horizontal well with a single fracture, this paper presents mathematics models for a horizontal well with multiple infinite conductivity fractures by using superposition principle of potency. According to many affection factors such as fractures space and number, etc, the bottom-hole pressure and fracture flow rate distribution of horizontal well are analyzed in this paper. The bottom-hole pressure and flow rate plate are also protracted, which would present a basic theory for well test and the optimum design of horizontal wells with multiple fractures. At last, as example of Yushulin reservoir of Daqing oil field, this paper applied reservoir numerical simulation technique to simulate the production history. Four adjustment projects were presented and predicted. The effect of horizontal wells with multiple fractures was evaluated in this paper.