【摘 要】
：
针对铁磁性物质反演中正则化参数自适应选择的问题,提出了基于χ~2准则的磁梯度张量3D聚焦反演方法。利用深度加权矩阵和最小支撑矩阵对经典Tikhonov正则化理论框架下的反演模型进行约束得到目标函数,避免了由于反演参数多于采集点数而导致反演解的多解性,并有效解决了核函数随深度增大而快速衰减的问题。通过对目标函数进行迭代奇异值分解获得最佳物性参数,并根据χ~2准则自适应地确定目标函数在迭代过程中的正则
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针对铁磁性物质反演中正则化参数自适应选择的问题,提出了基于χ~2准则的磁梯度张量3D聚焦反演方法。利用深度加权矩阵和最小支撑矩阵对经典Tikhonov正则化理论框架下的反演模型进行约束得到目标函数,避免了由于反演参数多于采集点数而导致反演解的多解性,并有效解决了核函数随深度增大而快速衰减的问题。通过对目标函数进行迭代奇异值分解获得最佳物性参数,并根据χ~2准则自适应地确定目标函数在迭代过程中的正则化参数,提高了迭代速度和求解精度。仿真和实验结果表明:该方法能准确还原磁性异常体的轮廓形态,具有较好的模
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