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我们开发了一种水平集模拟方法用来模拟反应性溶质在裂隙和多孔介质中的运移,以及由于矿物溶解引起的裂隙和孔隙的空间几何形状的变化过程.该方法同时处理(考虑)了流体流动,发应性溶质运移以及固液相界面溶解的耦合.水平集方法用来追踪由于化学反应导致的固液界面的演化.该文中,对于耦合作用的模拟是在不同水流条件和反应速率下围绕几种相对简单的裂隙和多孔介质的几何形状来展开的.我们从模拟的结果中导出了渗透率和孔隙度在各种水流动条件和反应速率下的定量关系,并与传统的本构方程(比如传统的立方关系和Carman-Kozeny关系)进行了比较.比较的结果显示数值解与解析理论关系有很大的区别.模拟结果显示出在裂隙和孔隙中存在相当大的反应溶质浓度梯度,以及由于这些非均匀分布的浓度场导致的固液表面溶解反应的不均匀分布和复杂的裂隙和孔隙形状变化过程.我们的模拟结果支持了基于简化的孔隙几何形状和溶质运移-反应条件下推导出来的传统本构关系在野外大尺度模型应用中有相当大的局限性这一论点,并且进一步证明考虑微观尺度下的物理化学过程的重要性.
We developed a level set simulation method to simulate the migration of reactive solutes in fractures and porous media and the spatial geometry of fractures and pores due to mineral dissolution. Fluid flow, strained solute transport, and solute coupling at the solid-liquid interface.The level set method is used to track the evolution of the solid-liquid interface due to chemical reactions.In this paper, the simulation of the coupling is performed under different water flow conditions and reactions Velocity is developed around the geometry of several relatively simple fractures and porous media.We derived the quantitative relationship between permeability and porosity under various water flow conditions and reaction rates from the results of the simulation and compared with the traditional The constitutive equations (such as the traditional cubic relationship and the Carman-Kozeny relationship) are compared and the results show that there is a big difference between numerical solution and analytical theory. The simulation results show that there are considerable reaction solutes in the fissures and pores Concentration gradient, as well as the inhomogeneous distribution of solid-liquid surface dissolution reactions and complicated fissures caused by these non-uniformly distributed concentration fields Gap and Pore Shape Variation Our simulation results support the argument that the traditional constitutive relationships derived from simplified pore geometry and solute transport-reaction conditions have considerable limitations in the field of large-scale model applications , And further justifies considering the importance of physicochemical processes at the microscopic scale.