Abstract
A coregionalization simulation consists of the generation of realizations of a group of spatially related random variables. The Fourier integral method is presented, modified to carry out such a multivariable simulation. This method allows the simulation of realizations with any specified symmetrical covariance matrix and it is not limited to the classic linear model of coregionalization. The results of gaussian nonconditinal simulations from a case study modeling the spatial characteristics of a layer of coal are given.
Similar content being viewed by others
References
Borgman, L., Taheri, M., and Hagan, R., 1984, Three-Dimensional Frequency-Domain Simulations of Geological Variables: Proc. NATO ASI. Lake Tahoe, September 1983, p. 517–541.
Gasca, M., 1986, Cálculo Numérico I. Universidad Nacional de Educación a Distancia: Madrid, 555 p.
Journel, A., and Huijbregts, Ch., 1978,Mining Geostatistics: Academic Press, New York, 600 p.
Mantoglou, A., 1987, Digital Simulation of Multivariate Two- and Three-Dimensional Stochastic Processes with a Spectral Turning Bands Method: Math. Geol., v. 19, n. 2. p. 129–149.
Matheron, G., 1982,Pour une Analyse Krigeante de Donnés Régionalisées: CGMM, ENSMP, Fontainebleau, N-732.
Papoulis, A., 1984, Probability, Random Variables and Stochastic Processes: McGraw-Hill International Editions, Singapore, 576 p.
Pardo-Igúzquiza, E., 1989, Simulación Condicional Geoestadística de Parámetros Geomineros en Una y Dos Dimensiones: Tesis de Licenciatura, Departamento de Geodinámica, Universidad de Granada, 181 p.
Pardo-Igúzquiza, E., 1991. Simulación Geoestadística de Variables Geológicas por Métodos Espectrales: Ph.D. thesis, Departamento de Geodinámica, Universidad de Granada. 412 p.
Pardo-lgúzquiza, E., and Chica-Olmo, M., 1993, The Fourier Integral Method: An Efficient Spectral Method for Simulation of Random Fields: Math. Geol., v. 25, n. 2, p. 177–217.
Shinozuka, M., 1970. Simulation of Multivariate and Multidimensional Random Processes: J. Acoust. Soc. Am., v. 49, n. 1, p. 357–367.
Shinozuka, M., and Jan, C. M., 1972, Digital Simulation of Random Processes and Its Applications: J. Sound Vibration, v. 25, n. 1, p. 111–128.
Wackemagel, H., 1985, L'inférence d'un Modèle Linéaire en Géostatistique Multivariable: Thèse Docteur de 3e. cycle, ENSMP. Fontainebleau, 100 p.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pardo-Igúzquiza, E., Chica-Olmo, M. Spectral simulation of multivariable stationary random functions using covariance fourier transforms. Math Geol 26, 277–299 (1994). https://doi.org/10.1007/BF02089226
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02089226