Numerical calculation of electrical resistivity of rocks with randomly distributed fractures in saturated state
Due to the changes in rock damage state leading to changes in its electrical resistivity,analyzing the quantitative relationship between rock damage and its electrical resistivity can help to use the electrical resistivity method to assist in the grading evaluation of damaged rocks.For saturated saline formation conditions,in order to understand the quantitative relationship between the resistivity of rocks with randomly distributed fractures and their own parameters,this paper constructed a damaged rock model,proposed a numerical calculation method for the resistivity of damaged rock,and performed numerical calculations for rock resistivity with different matrix resistivity,salt water resistivity levels,and different damage degrees.The results show that all of the matrix resistivity,salt water resistivity,and the degree of rock damage have an impact on the rock resistivity,and the degree of damage has the greatest impact on the rock resistivity.Through regression analysis of the numerical calculation results,a mathematical relationship between the resistivity of rock with randomly distributed fracture damage and the internal parameters of the rock was obtained,the relationship can better characterize the true resistivity of damaged rocks to a certain extent.The use of rock resistivity to calculate the engineering parameters of rock mass has certain randomness,but it can still reflect the degree of damage to the rock mass on the statistical mean.The application of the regression relationship obtained in this article and the discussion of its randomness have positive significance for the grading evaluation of rock damage degree.
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