© 2014, International Association for Mathematical Geosciences. This research proposes a numerical scheme for evaluating the effect of cold-water injection into a geothermal reservoir. A fractional heat transfer equation ...

Solute transport in the fractured porous confined aquifer is modeled by the advection-dispersion equation with fractional time derivative of order γ, which may vary from 0 to 1. Accounting for diffusion in the surrounding ...

Hydraulic stimulation is performed by high-pressure fluid injection, which permanently increases the permeability of a volume of rock, typically transforming it from the microdarcy into the millidarcy range. After a period ...

Contact melting a material by a moving heater of arbitrary shapes with non-isothermal working surface is systematically investigated. A pressure exerted by the heater continuously squeezes the molten layer out of the ...

Utilizing the double-porosity approach it is assumed that porous medium is constituted by two groups of pores in such way that major mass transport takes place mostly along the network of larger pores (group 1) and these ...

Nonstationary heat transport under conditions of freezing of filtering soils is studied using a mathematical model which takes into account an arbitrary distribution of sources of cold. © 1987 Plenum Publishing Corporation.

The fractional advection-dispersion equation (fADE) has been proposed to describe mass transport in a fractured reservoir. This study develops a finite discrete method to solve the fADE and tests its accuracy against ...

An instrument for determining the nonlinear thermal properties of rocks under natural conditions is proposed. Software is developed for processing the temperature readings, obtained from the instrument sensors, using mainly ...

The temperature field in the formation disturbed by the heat flow from the borehole is modeled by the heat conduction equation and thermal interaction of the circulating fluid with formation is approximated by the Newton ...

A theoretical investigation of nonlinear steady and unsteady roll waves on shallow layers of non-Newtonian dilatant fluids considered in the frame of the two-parametric power-law model of Ostwald-de Waele and moving down ...