Geostatistical multiple-point modeling of heterogeneous facies of petroleum reservoirs in order to control of the sand production

Considering the geomechanical characteristics of the subsurface facies in well location can play an important role in reducing the sand production from reservoirs. The main step in the geomechanical characterization in the reservoirs is to create an accurate geomechanical zoning. Due to the intrinsic spatial variability and also the high heterogeneity of the facies making such geomechanical zoning is accompanied with high uncertainty without having a reliable structural model of the reservoir facies. In recent decades, multiple-point simulations (MPS) have been considered not only as an efficient gadget to estimate the geomechanical properties in the reservoirs but also as a tool for the modeling of the heterogeneous facies. The importance of generating an accurate model of the subsurface facies has led to the development of various algorithms to improve accuracy and computational efficiency. In this paper, a new algorithm is proposed for numerical modeling of heterogeneous facies in oil reservoirs. The proposed algorithm is based on Discrete Wavelet Transform (DWT) and the Cross Correlation (CC) function. For this reason, the proposed algorithm is called CCWSIM. The accuracy and computational efficiency of the proposed algorithm are compared with another well-known MPS algorithm, called MS-CCSIM, in a two-dimensional synthetic model of the reservoir. The results of the comparison show high accuracy of the proposed algorithm (CCWSIM) in the reproduction of heterogeneous reservoir facies. In addition, the proposed algorithm is more efficient than MS-CCSIM algorithm.