论文标题
消失的聚合物模型Riemann问题解决方案的吸附极限
Vanishing adsorption limit of Riemann problem solutions for the polymer model
论文作者
论文摘要
我们研究了莱曼问题解决方案的消失吸附限，用于石油储层化学洪水的GLIMM-ISAACSON模型。如果这是一个增强系统的行进波或稀疏波的极限，则可以认为接触性不连续性是可接受的，该系统是化学物质吸附在岩石上的弱的。我们证明，该标准证明了Keyfitz-Kranzer，Isaacson-Temple和De Souza-Marchesin先前采用的可接受性标准合理，只要分数流函数在化学上取决于化学浓度。我们还证明，吸附标准选择了在具有非单调依赖性依赖性的示例模型中解决一般的黎曼问题所需的欠缺接触不连续性。
We examine the vanishing adsorption limit of solutions of Riemann problems for the Glimm-Isaacson model of chemical flooding of a petroleum reservoir. A contact discontinuity is deemed admissible if it is the limit of traveling waves or rarefaction waves for an augmented system that accounts for weak chemical adsorption onto the rock. We prove that this criterion justifies the admissibility criteria adopted previously by Keyfitz-Kranzer, Isaacson-Temple, and de Souza-Marchesin, provided that the fractional flow function depends monotonically on chemical concentration. We also demonstrate that the adsorption criterion selects the undercompressive contact discontinuities required to solve the general Riemann problem in an example model with non-monotone dependence.
