3D Simulation of Rock Fracture Distribution by GEOFRAC with an Application to Granitic Rocks of Oil Storage Station
Simulating fracture distribution is an important problem common to all the fields in geosciences. This paper presents GEOFRAC, a geostatistical method to simulate fracture distribution by considering their directions (strikes and dips). There are several steps in GEOFRAC such as fracture locations and directions. Fracture locations are generated randomly following fracture densities assigned by sequential Gaussian simulation method. Fracture directions are transformed into indicators consisting of several binary (0 and 1) variables and the indicator set is reduced using the principal component analysis. Then ordinary kriging is employed to estimate the distributions of these principal components and the results are inversed to the original coordinates system. Fracture directions are generated randomly using their cumulative distribution function. Fracture aperture distribution is estimated also by ordinary kriging. Based on these results, fracture elements within the angle and distance tolerances are merged into one fracture plane. By a case study for the fracture data from the oil storage station in the Kikuma granite, southwest Japan, GEOFRAC is proved to provide a plausible simulation result for locations and directions of fractures.
Chunxue Liu Katsuaki Koike Tomoji Sanga
Graduate School of Sconce and Technology, Kumamoto University, Kurokami 2-39-1, Kumamoto, Japan;Scho Department of life and Environmental Sciences, Graduate School of Science & Technology, Kumamoto Uni Nikko Exploration and Development Co., Ltd., Toranomon 2-7-10, Tokyo, Japan
国际会议
The 12th Conference of the International Association for Mathematical Geology(第12届国际数学地质大会)
北京
英文
583-586
2007-08-26（万方平台首次上网日期，不代表论文的发表时间）