{"id":96424,"date":"2009-05-10T00:00:00","date_gmt":"2009-05-10T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/on-multicomponent-reactive-transports-in-porous-media-from-the-natural-complexity-to-analitycal-solutions\/"},"modified":"2009-05-10T00:00:00","modified_gmt":"2009-05-10T00:00:00","slug":"on-multicomponent-reactive-transports-in-porous-media-from-the-natural-complexity-to-analitycal-solutions","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/analisis-numerico\/on-multicomponent-reactive-transports-in-porous-media-from-the-natural-complexity-to-analitycal-solutions\/","title":{"rendered":"On multicomponent reactive transports in porous media: from the natural complexity to analitycal solutions."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Leonardo David Donado Garz\u00f3n <\/strong><\/h2>\n<p>Transport of non-conservative species or solutes in porous or fractured media is highly influenced by heterogeneity. Additional  complexity is added to the processes due to the presence of different types of chemical reactions that control the fate of species  concentrations in the medium. Many of these chemical reactions are governed by mixing of waters with different geochemical  signature. Mixing yields instantaneous chemical disequilibrium in the resulting mixed water, and reactions take place to re- equilibrate the system.    this dissertation studies transport in heterogeneous media covering different problems (flow, conservative transport and reactive  transport) and in different aquifer types. First, we analyze flow and transport in low permeable highly fractured massifs. These are  studied using the discrete fracture network (dfn) approach, where a dense network of water-conducting intersecting fractures  is considered. The dfn approach traditionally has lacked the possibility of analyzing transport (as well as flow) in an inverse  problem framework. The actual tracer test, performed with a conservative solute (deuterium), evidences non-fickian behavior,  characterized by tailing in the breakthrough curve.    as a consequence, transport of conservative solutes in heterogeneous media can be modeled with an effective equation involving  a mass transfer term between the mobile and some immobile zones. In the second part of the thesis we explore the possibility of  extending this idea to account for transport of reactive species. We start by considering species where local chemical equilibrium  conditions are reached instantaneously. The impact of the medium heterogeneity on effective transport is represented by a multi  rate mass transfer approach, which models the medium as a multiple continuum of one mobile and multiple immobile regions,  which are related by kinetic mass transfer. Even though all regions (mobile and immobile) are assumed to be well mixed (local  equilibrium), globally equilibrium is not preserved. The imposition of local equilibrium at all points implies the need for reactions to  take place all through the domain, driven by both local dispersion and mass transfer. We derive explicit expressions for the  reaction rates in the mobile and immobile regions and study the impact of mass transfer on reactive transport. The reaction rates  can change significantly compared with the ones that would be obtained in a homogeneous media. For a broad distribution of  residence times in the immobile zones, the system may take much more time to equilibrate globally than for a homogeneous  medium.    the last topic addressed in this thesis is the analysis of transport of species undergoing non-instantaneous (kinetic) chemical  equilibrium. Reactive transport at the local scale is analyzed under two situations: (i) with a single kinetic reaction and (ii) with two  simultaneous reactions: one considered instantaneous and the other one being slow related to the transport characteristic time. In  the first problem of these problems, we find that the problem can be rewritten only in terms of the initial state of the system plus a  non-linear partial differential equation for the reaction rate.    the key result is that the equilibrium reaction rate depends on a mixingrelated term, the kinetic reaction rate, which is actually  controlling the availability of reactants in the system, and the distribution of (conservative and kinetic) linear combinations of  aqueous species concentrations. From an operational standpoint, our expressions allow direct computation of equilibrium  reaction rates without the need to calculate aqueous species concentrations. To illustrate the results, the dissolution of calcite in  the presence of precipitating gypsum in a one-dimensional fully saturated system is analyzed. The example highlights the highly  nonlinear and non monotonic response of the system to the controlling input parameters.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>On multicomponent reactive transports in porous media: from the natural complexity to analitycal solutions.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 On multicomponent reactive transports in porous media: from the natural complexity to analitycal solutions. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Leonardo David Donado Garz\u00f3n <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 05\/10\/2009<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Xavier S\u00e1nchez Vila<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jes\u00fas Carrera ram\u00edrez <\/li>\n<li>Francisco Javier Elorza tenreiro (vocal)<\/li>\n<li>philippe Gouze (vocal)<\/li>\n<li>Andr\u00e9s Alcolea rodr\u00edguez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Leonardo David Donado Garz\u00f3n Transport of non-conservative species or solutes in porous or fractured media is highly 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