Benchmark solutions are often used for the validation of numerical codes. In the field of stochastic hydrology, few closed form solutions for the statistical moments of the solutions are available. In the present contribution, we consider the problem of a sharp interface between salt and fresh waters in an aquifer of spatially variable permeability. We assume a layered structure, with permeabil...

Large-scale, lateral fluid flow through oceanic crust provides an explanation for regionally low heat flow in several seafloor settings. A well-mixed aquifer (WMA) model provides a quantitative and conceptual tool for explaining anomalously low heat flow based on an analytical representation of fluid and heat flow, assuming lateral fluid flow in basement in a layer directly below the ocean sedi...

Tunnel-boring machine (TBM) tunnelling through an aquifer will generate excess pore water pressures in the soil around tunnel face. Accurately predicting magnitude of is significant because it directly determines effective face support pressure. In this study, analytical solution for transient cylindrical flow caused by TBM considering elastic storage developed. Furthermore, a quasi-static to c...

Biological macromolecules, living in the confines of a cell, often adopt conformations that are unlikely to occur in free space. In this paper, we investigate the effects of confinement on the shape of a semiflexible chain. Results of Monte Carlo simulations show the existence of a shape transition when the persistence length of the polymer becomes comparable to the dimensions of the box. An or...