November 15, 2016
Department of Mathematics, Oregon State University, USA
||Pfaffenwaldring 61, Raum U1.003 (MML), Universität Stuttgart
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Models of multicomponent transport are important for the design of ECBM, as one of the carbon sequestration models, or for natural gas production. The models combine conservation laws and nonlinear isotherms, multiple scales and subscale diffusion related to the presence of macro-, meso- and micro-pores, as well as (compressible) pressure solver. In the talk we focus on the first part, of hyperbolic conservation laws with theremodynamically consistent isotherms.Multicomponent gas adsorption isotherms are usually obtained by parameter fitting of experimental data to algebraic models extending single component isotherms. However, these may not necessarily satisfy Gibbs adsorption law. A thermodynamically consistent approach is Ideal Adsorbate Solution theory but it is implicit and difficult to analyze. Furthermore, single component adsorption isotherms are needed to account, e.g., for hysteresis, extending e.g., Langmuir algebraic formulas. We present an approach involving statistical mechanics (Metropolis and the Mean Field Equilibrium approach) which is combined via IAS. Recent analysis of the hyperbolicity of the resuting system as well as numerical simulations will be presented.