CONDITIONAL SIMULATION OF INTRINSIC RANDOM FUNCTIONS OF ORDER-K

被引:24
作者
DIMITRAKOPOULOS, R [1 ]
机构
[1] ECOLE POLYTECH,DEPT GEN MINERAL,MONTREAL H3C 3A7,QUEBEC,CANADA
来源
MATHEMATICAL GEOLOGY | 1990年 / 22卷 / 03期
关键词
generalized covariance; generalized variogram; Geostatistics; nonstationary phenomenon; stochastic simulation; Wiener-Levy process;
D O I
10.1007/BF00889893
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
Conditional simulation of intrinsic random functions of order k is a stochastic method that generates realizations which mimic the spatial fluctuation of nonstationary phenomena, reproduce their generalized covariance and honor the available data at sampled locations. The technique proposed here requires the following steps: (i) on-line simulation of Wiener-Levy processes and of their integrations; (ii) use of the turning-bands method to generate realizations in Rn; (iii) conditioning to available data; and (iv) verification of the reproduced generalized covariance using generalized variograms. The applicational aspects of the technique are demonstrated in two and three dimensions. Examples include the conditional simulation of geological variates of the Crystal Viking petroleum reservoir, Alberta, Canada. © 1990 International Association for Mathematical Geology.
引用
收藏
页码:361 / 380
页数:20
相关论文
共 18 条
[1]   SURVEILLANCE PROBLEMS - WIENER PROCESSES [J].
ANTELMAN, GR ;
SAVAGE, IR .
NAVAL RESEARCH LOGISTICS QUARTERLY, 1965, 12 (01) :35-&
[2]  
CHILES JP, 1977, THESIS U NANCY 1
[3]  
CHILES JP, 1979, N612 CTR GEOST INT R
[4]   STOCHASTIC SIMULATION OF SPATIALLY CORRELATED GEO-PROCESSES [J].
CHRISTAKOS, G .
MATHEMATICAL GEOLOGY, 1987, 19 (08) :807-831
[5]   ON THE PROBLEM OF PERMISSIBLE COVARIANCE AND VARIOGRAM MODELS [J].
CHRISTAKOS, G .
WATER RESOURCES RESEARCH, 1984, 20 (02) :251-265
[6]  
DAVIS MW, 1987, MATH GEOL, V19, P91
[7]  
DELFINER P, 1973, DISPLAY ANAL SPATIAL, P96
[8]  
Delfiner P., 1976, ADV GEOSTATISTICS MI, V24, P49
[9]  
DELFINER P, 1977, N526 CTR GEOST INT R
[10]  
DIMITRAKOPOULOS R, 1988, CIM8839113 PETR SOC