Modeling heterogeneous materials via two-point correlation functions: Basic principles

Modeling heterogeneous materials via two-point correlation functions: basic principles.

Heterogeneous materials abound in nature and man-made situations. Examples include porous media, biological materials, and composite materials. Diverse and interesting properties exhibited by these materials result from their complex microstructures, which also make it difficult to model the materials. Yeong and Torquato [Phys. Rev. E 57, 495 (1998)] introduced a stochastic optimization techniq...

Modeling heterogeneous materials via two-point correlation functions. II. Algorithmic details and applications.

In the first part of this series of two papers, we proposed a theoretical formalism that enables one to model and categorize heterogeneous materials (media) via two-point correlation functions S(2) and introduced an efficient heterogeneous-medium (re)construction algorithm called the "lattice-point" algorithm. Here we discuss the algorithmic details of the lattice-point procedure and an algorit...

Quantitative prediction of effective conductivity in anisotropic heterogeneous media using two-point correlation functions

Statistical continuum approach is used to predict effective conductivity of anisotropic random porous heterogeneous media using twopoint correlation functions. Probability functions play a critical role in describing the statistical distribution of different constituents in a heterogeneous media. In this study a three-dimensional two-point correlation function is utilized to characterize the an...

Facies Modeling of Heterogeneous Carbonates Reservoirs by Multiple Point Geostatistics

Facies modeling is an essential part of reservoir characterization. The connectivity of facies model is very critical for the dynamic modeling of reservoirs. Carbonate reservoirs are so heterogeneous that variogram-based methods like sequential indicator simulation are not very useful for facies modeling. In this paper, multiple point geostatistics (MPS) is used for facies modeling in one of th...

Surfacelet-based Heterogeneous Materials Modeling