Spectral-type simulation of spatially correlated fracture set properties |
| |
| Authors: | Stanley M Miller and Leon E Borgman |
| |
| Institution: | (1) Department of Geology, Washington State University, 99164 Pullman, Washington, USA;(2) Department of Statistics, University of Wyoming, 82071 Laramie, Wyoming, USA;(3) Western Research Institute, 82071 Laramie, Wyoming, USA |
| |
| Abstract: | Fracture set properties such as orientation, spacing, trace length, and waviness tend to be spatially correlated. These properties can be efficiently simulated by spectral analysis procedures that take advantage of the computational speed of the fast Fourier transform. The covariance function of each property to be simulated is obtained from the variogram function estimated from mapped fracture set data and is typically referenced to the mean vector of the set. Simulation procedures for normally and exponentially distributed data involve generating uncorrelated Fourier coefficients that are assigned proper variance according to the spectral density, which is the Fourier transform of the covariance function. These coefficients are then reverse Fourier transformed to produce simulated set properties that have the desired variance and variogram function. |
| |
| Keywords: | fracture set simulation spectral density Fourier transform |
| 本文献已被 SpringerLink 等数据库收录！ |
|
