Simulations of Random Medium Model and Intermixed Random Medium
Xi Xian 1, Yao Yao 2 (1.Department of Mathematics and Physics, China University of Geosciences, Wuhan430074, China; 2.Faculty of Earth Resources, China University of Geosciences, Wuhan430074, China)
We discussed some basic concept of random media, and discussed the characteristics of random media models with exponential and Gaussian elliptic autocorrelation functions. Meanwhile by integrating the characteristics of random media models with exponential and Gaussian elliptic autocorrelation functions, we put forward the concept of roughness factor, and hereafter the concept of intermixed random medium model, which may describe the realistic media more agilely and precisely. By selecting the autocorrelation length a of horizontal direction, b of vertical direction and r of roughness factor, we may generate diversified intermixed random media models. The results of simulations show that the intermixed random media model can describe the realistic media more agilely, with strong adaptability and convenience and agile use, and thus can simulate details of the reservoir efficiently.