The Dehoop‐Knopoff representation theorem as a linear inverse problem
The Dehoop‐Knopoff representation theorem as a linear inverse problem
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作为线性反问题的 Dehoop-Knopoff 表示定理
DOI：
10.1029/gl007i009p00717
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发表时间：
1980
期刊：
影响因子：
--
通讯作者：
P. Spudich
中科院分区：
文献类型：
--
作者：
P. Spudich
deHoop-Knopoff表示定理将观测到的地震波与定义在表面S上的位移不连续性s联系起来，从而可以直接反演地震图来估计s以及s的空间和时间分辨率。解s可以通过将断层面参数化为若干点偶或将s表示为正交函数的展开来构造。在满足单个地震数据集的无限多个可能的解中，用于构造特定解的方法（例如，最佳拟合或最接近期望解）。将逆理论应用于deHoop-Knopoff表示定理导致了包括各种类型的地震数据的方便方式：例如，长周期和短周期地震、近场加速度记录和大地测量--转化为一次反演。
The deHoop-Knopoff representation theorem, which relates observed seismic waves to a displacement discontinuity s defined on a surface S, is posed so that seismograms may be directly inverted for estimates of s and of the spatial and temporal resolution of s. Solutions s can be constructed either by parametrizing the fault surface as a number of point double couples or by representing s as an expansion of orthogonal functions. Of the infinite number of possible solutions satisfying a single seismic-data set, methods for constructing particular solutions (e.g., best fitting, or closest to a desired solution) are given. Application of inverse theory to the deHoop-Knopoff representation theorem leads to a convenient way to include various types of seismic data: e.g., long- and short-period teleseismic, near field accelerogram, and geodetic--into a single inversion.