Abstract: We focus on anisotropic reservoir with natural fractures,and simulate distribution of natural fracture with Monte Carlo. It characterizes natural fracture parameters from the perspective of statistics. Coupled natural and artificial fractures are considered as independent sources. A formula of steady production is derived according to potential superposition principle. It shows that Monte Carlo simulations of natural fractures reflect trends of productivity from a statistical point of view. It analyzes quickly steady productivity of fractured directional well.

Key words: natural fracture, directional well, fracture, productivity calculation, Monte Carlo