Abstract Precipitation and dissolution are prime processes in carbonate rocks and being able to monitor them is of major importance for aquifer and reservoir exploitation or environmental studies. Electrical conductivity is a physical property sensitive both to transport phenomena of porous media and to dissolution and precipitation processes. However, its quantitative use depends on the effectiveness of the petrophysical relationship to relate the electrical conductivity to hydrological properties of interest. In this work, we develop a new physically-based model to estimate the electrical conductivity by upscaling a microstructural description of water-saturated fractal porous media. This model is successfully compared to published data from both unconsolidated and consolidated samples, or during precipitation and dissolution numerical experiments. For the latter, we show that the permeability can be linked to the predicted electrical conductivity.

中文翻译：

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矿物沉淀溶解过程中水饱和多孔介质电导率的分形模型

摘要 降水和溶解是碳酸盐岩中的主要过程，能够对其进行监测对于含水层和储层开发或环境研究具有重要意义。电导率是一种对多孔介质的传输现象以及溶解和沉淀过程都敏感的物理特性。然而，其定量使用取决于将电导率与感兴趣的水文特性联系起来的岩石物理关系的有效性。在这项工作中，我们开发了一种新的基于物理的模型，通过放大水饱和分形多孔介质的微观结构描述来估计电导率。该模型成功地与来自未合并和合并样本的已发布数据进行了比较，或在沉淀和溶解数值实验期间。对于后者，我们表明渗透率可以与预测的电导率相关联。