论文标题
水饱和多孔培养基在矿物沉淀 - 分解过程中的电导率的分形模型
A fractal model for the electrical conductivity of water-saturated porous media during mineral precipitation-dissolution processes
论文作者
论文摘要
降水和溶解是碳酸盐岩石中的主要过程，并且能够监测它们对于含水层和储层剥削或环境研究至关重要。电导率是一种物理特性，既可以运输多孔培养基现象以及溶解和降水过程。但是，其定量使用取决于岩石物理关系的有效性，以将电导率与感兴趣的水文特性联系起来。在这项工作中，我们开发了一种新的基于物理的模型，以估计电导率的估计，来尺寸对水饱和分形多孔培养基的微结构描述。该模型与未固结和合并样品或降水和溶解数值实验期间已发布的数据成功进行了比较。对于后者，我们表明渗透性可以与预测的电导率相关。
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.
