将简化物理模型与粗网格结合起来,加快棘手的三维时域模拟速度

Wouter Deleersnyder, Evert Slob
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引用次数: 0

摘要

时域电磁数据的全三维建模需要巨大的计算资源。因此,简化物理模型在地球物理学中盛行,使用速度更快但近似的(1D)前向模型。我们建议将一维简化物理模型的精确性与粗网格的灵活性结合起来,以减少建模误差,从而避免全三维精确模拟。我们以机载时域电磁数据为例,比较了建模误差和标准的 3% 测量噪声。我们发现,建模误差取决于具体的次表面模型(电导率值、代表一维假设偏差的角度)和具体的(时间)离散化。在我们的例子中,计算时间减少了 27 倍。我们的方法可以替代代用模型,即从大型三维数据集中得出的统计关系,以取代全三维模拟。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Joining simplified physics models with coarse grids to speed-up intractable 3D time-domain simulations
Full 3D modelling of time-domain electromagnetic data requires tremendous computational resources. Consequently, simplified physics models prevail in geophysics, using a much faster but approximate (1D) forward model. We propose to join the accuracy of a 1D simplified physics model with the flexibility of coarse grids to reduce the modelling errors, thereby avoiding the full 3D accurate simulations. We exemplify our approach on airborne time-domain electromagnetic data, comparing the modelling error with the standard 3% measurement noise. We find that the modelling error depends on the specific subsurface model (electrical conductivity values, angle representing the deviation of the 1D assumption) and the specific (temporal) discretization. In our example, the computation time is decreased by a factor of 27. Our approach can offer an alternative for surrogate models, statistical relations derived from large 3D datasets, to replace the full 3D simulations.
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