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    基于反射点位置自适应约束的斜率层析成像方法

    Slope tomography based on adaptive constraints of reflection-point positions

    • 摘要: 斜率层析成像方法是一种利用局部相干反射波走时和斜率数据反演地下介质宏观速度变化的地震成像方法。传统的斜率层析成像方法利用经过某一离散网格单元的所有反射波数据共同反演该单元的速度,导致反演模型的平均效应突出且精度较低。为此,提出了基于反射点位置自适应约束的斜率层析成像方法。该方法能够根据反射点与反演网格单元之间的距离对反射波数据进行自适应加权。反射点与反演网格单元的距离越大,对应反射波数据的权重越小,反之,权重越大。这使得浅部和深部地层的速度分别由浅层和深层反射波数据反演获得,从而降低了反演的平均效应,提高了反演模型的精度。理论模型测试和实际数据应用验证了基于反射点位置自适应约束的斜率层析成像方法的正确性和有效性。

       

      Abstract: Slope tomography inverts the traveltimes and slopes of locally coherent reflected waves to reconstruct the subsurface background velocity model. By employing all reflected waves passing through a discrete grid cell for its velocity inversion, conventional slope tomography introduces notable averaging effects, which in turn reduce the accuracy of the inverted model. To mitigate this problem, we propose an improved slope tomography method by incorporating adaptive constraints of reflection-point positions. The method adaptively weights reflection data according to the distance between reflection points and grid cells: the greater the distance, the smaller the weight, and vice versa. Consequently, the velocities of shallow and deep layers are inverted from their corresponding reflection data, which mitigates the gradient averaging effects and improves the accuracy of the inverted model. Numerical tests and a field data application verify the accuracy and effectiveness of the proposed method.

       

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