A multivariate Bernstein copula model for permeability stochastic simulation |
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Affiliation: | Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, 07730, México, D.F.;Programa de Actuaria, Facultad de Estudios Superiores Acatlán, Universidad Nacional Autónoma de México, México D.F. |
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Abstract: | This paper introduces a general nonparametric method for joint stochastic simulation of petrophysical properties using the Bernstein copula. This method consists basically in generating stochastic simulations of a given petrophysical property (primary variable) modeling the underlying empirical dependence with other petrophysical properties (secondary variables) while reproducing the spatial dependence of the first one.This multivariate approach provides a very flexible tool to model the complex dependence relationships of petrophysical properties. It has several advantages over other traditional methods, since it is not restricted to the case of linear dependence among variables, it does not require the assumption of normality and/or existence of moments.In this paper this method is applied to simulate rock permeability using Vugular Porosity and Shear Wave Velocity (S-Waves) as covariates in a carbonate double-porosity formation at well log scale. Simulated permeability values show a high degree of accuracy compared to the actual values. |
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Keywords: | permeabilidad porosidad velocidad de onda de corte dependencia multivariada cópula de Bernstein simulación geoestadística permeability porosity shear wave velocity multivariate dependence Bernstein copula geostatistical simulation |
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