Finite-Frequency Kernels Based on Adjoint Methods
نویسندگان
چکیده
منابع مشابه
Finite-Frequency Kernels Based on Adjoint Methods
We derive the adjoint equations associated with the calculation of Fréchet derivatives for tomographic inversions based upon a Lagrange multiplier method. The Fréchet derivative of an objective function v(m), where m denotes the Earth model, may be written in the generic form dv Km(x) d ln m(x) d x, where d ln m dm/m denotes the relative model perturbation and Km the associated 3D sensitivity o...
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This chapter contains excerpts from “Seismic tomography, adjoint methods, time reversal, and banana-doughnut kernels,” by Jeroen Tromp, Carl Tape, and Qinya Liu. My primary contribution to this study was to adapt a 2D SEM wave propagation code to construct finitefrequency kernels. In a series of numerical experiements, I illustrated the formation of finitefrequency sensitivity kernels via the i...
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S U M M A R Y We draw connections between seismic tomography, adjoint methods popular in climate and ocean dynamics, time-reversal imaging and finite-frequency ‘banana-doughnut’ kernels. We demonstrate that Fréchet derivatives for tomographic and (finite) source inversions may be obtained based upon just two numerical simulations for each earthquake: one calculation for the current model and a ...
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S U M M A R Y Head waves are extremely important in determining the structure of the predominantly layered Earth. While several recent studies have shown the diffractive nature and the 3-D Fréchet kernels of finite-frequency turning waves, analogues of head waves in a continuous velocity structure, the finite-frequency effects and sensitivity kernels of head waves are yet to be carefully examin...
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S U M M A R Y Sensitivity kernels for fundamental mode surface waves at finite frequency for 2-D phase speed and 3-D shear wave speed are constructed based on the Born and Rytov approximations working with a potential representation for surface waves. The use of asymptotic Green’s functions for scalar wave equations provides an efficient way to calculate the Born or Rytov kernels. The 2-D sensi...
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ژورنال
عنوان ژورنال: Bulletin of the Seismological Society of America
سال: 2006
ISSN: 0037-1106
DOI: 10.1785/0120060041