The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

Geomechanical assessment using coupled reservoir-geomechanical simulation is
becoming increasingly important for analyzing the potential geomechanical risks in …

For the nonlinear Richards equation as an unsaturated flow through heterogeneous media,
we build a new coarse-scale approximation algorithm utilizing numerical homogenization …

In this paper, we present a general derivation of multicontinuum equations and discuss cell
problems. We present constraint cell problem formulations in a representative volume …

In this work, we consider biotic and abiotic reactive transport processes through marine
sediment vertical profiles. The mathematical model is described by a multicomponent …

Pore-scale modeling has limited applicability at large scales due to its high computational
cost. One common approach to upscale pore-scale models is the use of effective medium …

In this paper, we consider a time-dependent discrete network model with highly varying
connectivity. The approximation by time is performed using an implicit scheme. We propose …

In this paper, we consider a coarse grid approximation (numerical homogenization and
multiscale finite element method) for the poroelasticity problem with stochastic properties …

This work is devoted to estimation of macroscopic failure strength of heterogeneous rock-like
and cement-based materials. Three representative microstructures are considered …

In this paper, we present a multiscale method for simulations of the multicontinua
unsaturated flow problems in heterogeneous fractured porous media. The mathematical …