We prove finite speed of propagation for stochastic porous media equations perturbed by linear multiplicative space-time rough signals. Explicit and optimal estimates for the speed of propagation are given. The result applies to any continuous driving signal, thus including fractional Brownian motion for all Hurst parameters. The explicit estimates are then used to prove that the corresponding ...

The permeabilities of microscale fibrous porous media were calculated using the multiple-relaxation-time (MRT) lattice Boltzmann method (LBM). Two models of the microscale fibrous porous media were constructed based on overlapping fibers (simple cubic, body-centered cubic). Arranging the fibers in skew positions yielded two additional models comprising non-overlapping fibers (skewed simple cubi...

Propagation of guided waves in a solid rod surrounded by infinite media is an interesting research topic of practical importance. One important application is ultrasonic nondestructive evaluation (NDE) of rock bolts. Rock bolts are inserted into the mixture of rock and concrete to ensure the stability of the groundwork. For this research topic, it is important to study the propagation of guided...

On the basis of flow characteristics and material balance principle, a one-dimensional theoretical model of heavy-oil migration in porous media was established. The model considered micro-compressible property and nonNewtonian behavior of heavy oil. A new method, the transient method, was introduced to calculate the threshold pressure gradient in porous media. The method was designed to measure...

Intermediate-scale laboratory experiments on heterogeneous porous media have been increasingly used for the study of saturated and unsaturated ground water systems. While the ability to reproduce field-scale heterogeneity in these experiments has advanced, the use of visualization or image analysis methods to characterize the spatial distribution of solute concentrations has largely remained at...

according to the former researcher’s presented relations for flow through rock-fill porous media, the effects of physical characteristics was not studied separately. hence, due to the application of these relations, physical characteristics of porous materials effect must be investigated separately. in various constructed physical models of porous media, the effect of several variables such as ...

abstract bottom rack intake is one of the most popular structures used for diverting water in mountain region. corrosion and rotten problems of bottom racks inspire the introduction of a new system of bottom intake in which a porous media is replaced by the bottom rack. obviously, clogging and reduction of diverted discharge are the most important problems in this new system, too. in this paper...

In digital rock physics, surface relaxation of NMR decay on a 3D porous media is often simulated with Random-Walker methods, where Brownian walkers representing the magnetized nuclei are absorbed by the solid surface under an interfacial absorption probability. Previous simulations usually neglected the blocky pixel appearance of 3D pore space images, which results in over estimation of the sur...

We study the dynamics of a radioactive species flowing through a porous material, within the Continuous-Time Random Walk (CTRW) approach to the modelling of stochastic transport processes. Emphasis is given to the case where radioactive decay is coupled to anomalous diffusion in locally heterogeneous media, such as porous sediments or fractured rocks. In this framework, we derive the distributi...

Fluid flow through porous media is of great importance for many natural systems, such as transport of groundwater flow, pollution transport and mineral processing. In this paper, we propose and validate a novel finite volume formulation of the lattice Boltzmann method for porous flows, based on the Brinkman–Forchheimer equation. The porous media effect is incorporated as a force term in the lat...