Effect of the local clay distribution on the effective elastic properties of shales

摘要: Abstract This paper revisits the “Local Porosity Theory” developed by Hilfer to propose a “local clay theory” (LCT) that establishes quantitative relationship between effective elastic properties and distribution of shales. approach is primarily based on simplicity” assumption; under this assumption, complexity spatial can be captured two local functions, namely, fraction μ percolation probability λ which are calculated partitioning mineral map. The provides information about fluctuations describes in connectivity. LCT was applied map made from Callovo-Oxfordian mudstone sample for petrophysical data were available. application demonstrated functions reasonably approximated Gaussian simple sigmoid function, respectively. also used sensitivity analysis evaluate impact phase connectivity has been investigated comparing obtained with those provided percolating inclusion-based model (a non-clay spherical grain embedded transverse isotropic matrix neither nor connectivity). built differential medium scheme. results indicated have only slight properties. However, when considered, deviations inferred large exceeding 50% some cases.