关键词: 水平井, 黑油模型, 压力损失, 加边稀疏矩阵, 敏感性分析

Abstract: The application of horizontal well technology has become wider in the developing of oil field.However there is a problem in the current methods of horizontal well numerical simulation:most of them do not consider the fluid pressure-drop alone the horizontal well-bore.So,it makes a relatively great deviation between the actual result of developing process and the result of numerical simulation.To solve this problem,we set up a new kind of horizontal well numerical simulation model in this paper,which based on the vertical well black-oil simulation model.It considers the influences of 4 kinds of pressure losses when the fluid flows in the horizontal well-bore (including well friction loss,acceleration pressure loss,mixture pressure loss and weight loss).The numerical simulation program based on the model can also deal with the anisotropic formation.Because the relevant matrix is a "seven-diagonal sparse matrix with an attached column" when we consider the pressure-drop alone the horizontal well-bore,we develop a new mathematical method,which is called "partitioned matrix multiplication combined with preliminary treatment of conjugate gradient".The trial solution of this method has indicated a faster convergence rate.By the numerical simulation program,we correlate,compute and analyze the factors that influence the horizontal well production,pressure loss alone the well-bore and flowing bottomhleo pressure.According to the results,we can give suggestions to the optimum design of the horizontal well.

Key words: horizontal well, black-oil model, pressure drop, sparse matrix, sensitive analysis