【摘要】 在前人研究基础上,对Groom Bailey(GB)张量分解畸变因子和区域阻抗的求解方法进行了改进.首先,通过Swift旋转与GB分解的扭变和剪切矩阵的求逆变换,利用变换后区域阻抗主对角元素为0的条件获得关于扭变因子和剪切因子的超定方程组,采用模拟退火全局优化算法进行求解.其次,由得到的扭变因子和剪切因子,结合Swift旋转确定的走向角和区域阻抗元素的估计,作为非线性最小二乘局部优化算法的初始值,对GB分解定义式的超定方程组进行求解,得到各畸变参数和区域阻抗的解.通过模型试验验证了方法的正确,对方法的稳定性进行了比较与评价,并通过与已有结果的对比和实际资料的应用,表明了方法实际应用的效果.更多还原

【Abstract】 An improved method for getting distortion parameters and regional tensor of GB decomposition is made based on the former studies.First,overdetermined equations about twist and shear are obtained in accordance with the zero condition on the principal diagonal of regional tensor after Swift rotation and inverse transform of twist and shear tensors of GB.The overdetermined equations are solved by a global optimization algorithm of Simulated Annealing. Second,the obtained twist and shear,the strike angle by Swift rotation,and an estimate of regional tensor,are utilized as initial inversion parameters to solve the overdetermined equations obtained by the formula of GB decomposition to get the final solutions by a local optimization algorithm of nonlinear least square.The validity of the method is verified through model tests and the stability of the method is compared and evaluated.The effects of the method in practical application are indicated by comparing the results with the tests of former published studies and field surveyed data.更多还原