Productivity Prediction Model of Horizontal Gas Wells with Noncoplanar Fractures

Because two wings of a fracture in a fractured horizontal well are not certainly in a line,it’s necessary to calculate the production from a fractured horizontal well that fractures in the two wings has varied orientation with the borehole in order to make the prediction more practical.Based on a point source summation,two wings of fractures were divided into n parts then pressure drop model of every point in the formation were built and finally the deliverability equation of a fractured horizontal well was deduced.By analyzing the effects of different angles between the wings and the wellbore,it turned out that the smaller the angles between the fractures and the wellbore,the worse the stimulation results;when the fractures are vertical to the horizontal wellbore,the stimulation effect is optimal.So if possible,fractures perpendicular to horizontal wellbore are preferred.