Journal of Geophysical Research: Solid Earth First principles model of carbonate compaction creep
Journal of Geophysical Research: Solid Earth First principles model of carbonate compaction creep
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地球物理研究杂志：碳酸盐压实蠕变的固体地球第一原理模型
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通讯作者：
M. Twigg
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作者：
M. Twigg
在压应力条件下的岩石会发生长期的蠕变变形。从第一原理，我们开发了一个简单的微观力学模型蠕变岩石在压缩应力下，结合微观断裂和压力解决方案。然后通过统计力学方法对该模型进行升级，以预测岩心和油藏规模的应变率。该模型不使用拟合参数，只有少量的输入参数：有效应力、温度、含水饱和度、孔隙度和材料参数。材料参数是孔隙率、孔径分布、杨氏模量、湿方解石的界面能、方解石的溶解和沉淀速率以及碳酸钙的溶解速率，所有这些参数都可以独立测量，而无需进行任何类型的变形或蠕变测试。现有的长期蠕变实验被用来测试该模型，该模型成功地预测了在非常不同的有效应力、温度和水饱和度条件下产生的应变速率的大小。该模型被用来预测所观察到的生产白垩储层的压实。
Rocks under compressional stress conditions are subject to long-term creep deformation. From first principles we develop a simple micromechanical model of creep in rocks under compressional stress that combines microscopic fracturing and pressure solution. This model was then upscaled by a statistical mechanical approach to predict strain rate at core and reservoir scale. The model uses no fitting parameter and has few input parameters: effective stress, temperature, water saturation porosity, and material parameters. Material parameters are porosity, pore size distribution, Young’s modulus, interfacial energy of wet calcite, the dissolution, and precipitation rates of calcite, and the diffusion rate of calcium carbonate, all of which are independently measurable without performing any type of deformation or creep test. Existing long-term creep experiments were used to test the model which successfully predicts the magnitude of the resulting strain rate under very different effective stress, temperature, and water saturation conditions. The model was used to predict the observed compaction of a producing chalk reservoir.