Two new spline-based methods and real data applications: high-resolution receiver function calculations from teleseismic broadband waveforms and high-accuracy practical potential-field integral transformations
"While receiver function (RF) calculation is fundamentally important and widely used, it is not well solved due to unstable deconvolution. A spline-based RF calculation method was proposed and it is demonstrated that both individual RFs and the stacked RF calculated with the spline method have sharper peaks than those with the water-level spectral division method and the iterative deconvolution method. At the common peaks on the stacked RFs, there are close similarities for all three RF calculation methods. The better calculated RFs with the spline method lead to improved H - K analysis and improved determination of the optimal Moho depth and VP/VS with greater resolution.
Through bootstrapped H - K analysis of the stacked Sv-P RFs calculated with the spline method, the optimal Moho depth (79.1 ± 0.2 km) and VP/VS (1.781 ± 0.002) were obtained beneath the LSA station on the Tibetan Plateau. The thick crust and elevated VP/VS resulted from the India-Eurasia continental collision and underplating. The optimal Moho depth (43.7 km) and VP/VS (1.7825) were also obtained beneath the TLY station in the Baikal rift zone. For both LSA and TLY, the Moho depths and VP/VS ratios obtained using all three RF calculation methods are compatible.
Spline-based high-accuracy practical techniques were also proposed to perform 3D and 2D integral transformations (from potential field components to potential and from potential-field gradient components to potential field components) that are substantially more accurate than the Fourier transform techniques. Harmonicity is confirmed substantially better for the spline method than the Fourier transform method, and the spline-based integration and differentiation are invertible"--Abstract, page iii.
Gao, Stephen S.
Liu, Kelly H.
Rogers, J. David
Geosciences and Geological and Petroleum Engineering
Ph. D. in Geology and Geophysics
National Science Foundation (U.S.)
Natural Sciences and Engineering Research Council of Canada
Missouri University of Science and Technology
Journal article titles appearing in thesis/dissertation
- A new spline-based method for high-resolution receiver function calculations from teleseismic broadband waveforms
- A new spline-based method for high-accuracy practical potential-field integral transformations
xiii, 140 pages
© 2011 Bingzhu Wang, All rights reserved.
Dissertation - Restricted Access
Library of Congress Subject Headings
Seismic waves -- Mathematical models
Seismology -- Mathematics
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Electronic access to the full-text of this document is restricted to Missouri S&T users. Otherwise, request this publication directly from Missouri S&T Library or contact your local library.http://laurel.lso.missouri.edu/record=b8713593~S5al
Wang, Bingzhu, "Two new spline-based methods and real data applications: high-resolution receiver function calculations from teleseismic broadband waveforms and high-accuracy practical potential-field integral transformations" (2011). Doctoral Dissertations. 1810.
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