论文标题
地球化学建模中的非线性波相互作用
Nonlinear wave interactions in geochemical modeling
论文作者
论文摘要
本文涉及对地球化学建模系统中保护定律系统中主波相互作用的研究。我们研究岩石表面上化学复合物的建模。稳定的表面复合物的存在会影响相对渗透率。我们在\ cite {lambert2019nonlineAr1}中添加代表表面复合物的术语。这种添加允许考虑通过注入碳酸水的油回收率建模离子与岩石表面的相互作用。与模型的兼容性假设是在系统的系数上提出有意义的解决方案的。考虑到非线性波的相互作用和分叉的复杂性，我们开发了一个Riemann求解器。这种分叉发生在拐点和共振表面。我们介绍了（n+1）二维情况下的广义特征值问题的解决方案，该情况允许构建稀疏曲线。还提供了一种找到不连续解决方案的方法。我们找到了一些示例的解决方案路径。
This paper is concerned with the study of the main wave interactions in a system of conservation laws in geochemical modeling. We study the modeling of the chemical complexes on the rock surface. The presence of stable surface complexes affects the relative permeability. We add terms representing surface complexes to the accumulation function in the model presented in \cite{lambert2019nonlinear1}. This addition allows to take into account the interaction of ions with the rock surface in the modeling of the oil recovery by the injection of carbonated water. Compatibility hypotheses with the modeling are made on the coefficients of the system to obtain meaningful solutions. We developed a Riemann solver taking into account the complexity of the interactions and bifurcations of nonlinear waves. Such bifurcations occur at the inflection and resonance surfaces. We present the solution of a generalized eigenvalue problem in a (n+1)-dimensional case, which allows the construction of rarefaction curves. A method to find the discontinuous solutions is also presented. We find the solution path for some examples.
