岩石复电阻率Dias模型及其反演方法

Dias模型是众多描述岩石复电阻率的频散特性模型中的一种，它不但参数少而且可由这些参数导出具有特定物理意义的参数。针对Dias模型参数的求取及反演解的不确定性评价，提出了一种模拟退火阻尼最小二乘联合反演方法。该方法首先将参数求解空间离散化，利用模拟退火找到全局最优解区间，然后利用阻尼最小二乘法在解空间进行求解。该方法有效地克服了原来两种方法反演速度慢、反演结果依赖于初值的缺点，并实现了对反演结果多解性的评价。研究结果表明，对于岩石复电阻率数据的处理解释，Dias模型比传统的Cole模型及其变形更具有潜在的优势。

Dias Model of Rock Complex Resistivity and Its Inversion Method

Dias model is one among many models to describe the dispersion characteristics of rock complex resistivity. The parameters for Dias model are not many, and parameters with special physical meanings can be educed through the parameters for Dias. Based on the extraction of parameters for Dias model and the uncertain evaluation of inversed solution, one kind of simulated minimum anneal damping quadratic involution inversion method has been established. According to this method the solution of parameters is dispersed in space firstly, the interval for optimal solution can be determined with the application of simulated annealing, and then the minimum damping quadratic involution method is used for evaluation. With the application of this method, the disadvantages of two methods, such as slow inversion velocity and inversion results depending on primary value, have been overcome. The research results prove that Dias model is superior to traditional Cole model when concerning of the processing and interpretation of rock complex resistivity data.