In multiscale modelling, multiple models are used simultaneously to describe scale-dependent phenomena in a system of interest. Here we introduce machine learning (ML)-based modelling framework for hierarchical problems. these problems, closure relations required the macroscopic problem form constitutive relations. However, forming explicit closures nonlinear and hysteretic processes remains ch...

Normal reflection from a fractured reservoir is analyzed using frequency-dependent seismic attributes. Processing of 3D low-frequency seismic data from a West-Siberian reservoir produced an accurate delineation of the fractured hydrocarbon-bearing zones. P-wave propagation, reflection and transmission at an impermeable interface between elastic and dual-porosity poroelastic media is investigate...

Current databases of soil hydraulic properties (SHPs) have typically been used to develop pedotransfer functions (PTFs) estimate water retention [?(h)] assuming a unimodal pore-size distribution. However, natural soils often show the presence bimodal multimodal distributions. Here, we three widely spread for PTF development: UNsaturated SOil DAtabase (UNSODA) 2.0, Vereecken, and European hydrop...

A proper treatment of granite residual soil (GRS) in geotechnical practices requires both macro and microscopic evaluations. In this study, uniaxial oedometric compression tests were conducted to investigate the mechanical properties saturated untreated cement-treated GRS. Meanwhile, XRD, SEM, MIP identify presence types C–S–H changes pore structure after cement treatment. The effects on compre...

we introduce the notions of t-dual rickart and strongly t-dual rickart modules. we provide several characterizations and investigate properties of each of these concepts. it is shown that every free (resp. finitely generated free) $r$-module is t-dual rickart if and only if $overline{z}^2(r)$ is a  direct summand of $r$ and end$(overline{z}^2(r))$ is a semisimple (resp. regular) ring. it is sho...