Concentration and temperature transients in heterogeneous porous media

Application of iterated Laplace transformation to tracer transients in heterogeneous porous media

“…First, the transport in diverging flow in radial geometry may be developed using two assumptions: (1) a constant dispersion coefficient, D; (2) a velocity-dependent dispersion coefficient and (3) the dispersivity may be considered as scale dependent, which may also lead to a constant dispersion coefficient in radially diverging flow. All cases have been thoroughly treated by Kocabas and Islam [17] where solutions are presented in Laplace space. Only the constant dispersion case will be treated in this work.…”

“…A second issue related to solutions of convection dispersion equations is the necessity to distinguish between the resident and flux concentrations concepts [10,17,22,23]. Kocabas and Islam [17] have classified the radial convection dispersion equation solutions according to the two concentration variables.…”

“…Kocabas and Islam [17] have classified the radial convection dispersion equation solutions according to the two concentration variables. In that work all solutions were presented in Laplace space.…”

“…In that work all solutions were presented in Laplace space. Kocabas and Islam [17] have also stated that the suitable solutions for practical applications are those called the flux concentration solutions. In the following the real space solutions for flux concentrations obtained by iterated Laplace transform technique are presented for the first time in this work.…”

Simulation and analysis of lithology heterogeneity on CO2 geological sequestration in deep saline aquifer: a case study of the Ordos Basin

“…As analytical methods are quite useful to provide basic insight into the mechanisms of heat transport and thermal effect in the oil/gas reservoir, a number of analytical models have been proposed on the analysis of temperature distributions (Lauwerier 1965;Yortsos and Gavalas 1982;Satman 1988;Kocabas and Islam 2000). Compared to EOR, the thermal effects have been researched more widely in the field of geothermal energy using analytical, numerical and experimental methods (Bodvarsson 1972;Chen and Reddell 1983;Dickinson et al 2009;Li et al 2010;Ascencio et al 2014).…”