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首页> 外文会议>XIVth International Conference on Computational Methods in Water Resources (CMWR XIV), Jun 23-28, 2002, Delft, The Netherlands >A discussion on Darcy-scale modeling of porous media dissolution in homogeneous and heterogeneous systems
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A discussion on Darcy-scale modeling of porous media dissolution in homogeneous and heterogeneous systems

机译：关于均相和非均相系统中多孔介质溶解的达西尺度模型的讨论

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摘要

The unstable dissolution of a porous medium leads to complex patterns which are difficult to model quantitatively. A Darcy-scale dissolution model is proposed involving a local non-equilibrium dissolution equation. A 3D numerical model has been developed to solve for the resulting PDEs using an operator splitting technique and high resolution TVD schemes. Results are shown for 2D and 3D configurations for both homogeneous and heterogeneous systems. The qualitative and quantitative features of the numerical results are discussed with respect to the published literature. Based on the 2D results, a first attempt is made at deriving a core-scale dissolution model based on cross-sectional averages. Several possibilities are explored including one-equation models, i.e., the core-scale medium incorporates the wormholes and the remaining porous matrix, and two-equation models for which the wormholes are treated separately. Theoretical implications are discussed based on numerical experiments.
机译：多孔介质的不稳定溶解会导致难以定量建模的复杂模式。提出了涉及局部非平衡溶解方程的达西规模溶出模型。已开发出一种3D数值模型，以使用算子拆分技术和高分辨率TVD方案来解决所得的PDE。显示了均质和异质系统的2D和3D配置结果。数值结果的定性和定量特征针对已发表的文献进行了讨论。基于2D结果，首次尝试根据横截面平均值推导岩心尺度溶出模型。探索了几种可能性，包括一方程模型，即核心级介质包含虫洞和剩余的多孔基质，以及二方程模型，对虫洞分别进行处理。基于数值实验讨论了理论意义。

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