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Num. Meth. Prog., 2020, Volume 21, Issue 3, Pages 225–240 (Mi vmp1006)  

Numerical estimation of interface roughness effect on upscaled elastic properties of layered media

T. S. Khachkovaa, V. V. Lisitsaa, D. R. Kolyukhina, G. V. Reshetovab

a A. A. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk

Abstract: We discuss a numerical study of the interface roughness effect on elastic moduli of an upscaled model of layered media. We propose a numerical algorithm to construct statistically equivalent models of two different types. The first type includes the models with constant elastic moduli but with rough interfaces. The second type consists of models with flat interfaces but with stochastic elastic moduli. It is shown that the distribution of the elastic moduli for the models of the second type is uniquely determined by the interface roughness in the models of the first type.

Keywords: geostatistical modeling; elasticity; numerical upscaling

DOI: https://doi.org/10.26089/NumMet.v21r320

Full text: PDF file (515 kB)

UDC: 550.341
Received: 23.07.2020

Citation: T. S. Khachkova, V. V. Lisitsa, D. R. Kolyukhin, G. V. Reshetova, “Numerical estimation of interface roughness effect on upscaled elastic properties of layered media”, Num. Meth. Prog., 21:3 (2020), 225–240

Citation in format AMSBIB
\Bibitem{KhaLisKol20}
\by T.~S.~Khachkova, V.~V.~Lisitsa, D.~R.~Kolyukhin, G.~V.~Reshetova
\paper Numerical estimation of interface roughness effect on upscaled elastic properties of layered media
\jour Num. Meth. Prog.
\yr 2020
\vol 21
\issue 3
\pages 225--240
\mathnet{http://mi.mathnet.ru/vmp1006}
\crossref{https://doi.org/10.26089/NumMet.v21r320}


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