A note on estimating \(T_{e}\) from Bouguer coherence
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- 作者：Dan McKenzie
- 关键词：Bouguer coherence ; Effective elastic thickness
- 刊名：GEM - International Journal on Geomathematics
- 出版年：2016
- 出版时间：April 2016
- 年：2016
- 卷：7
- 期：1
- 页码：103-116
- 全文大小：3,604 KB
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Zuber, M.T., Bechtel, T.D., Forsyth, D.W.: Effective elastic thickness of the lithosphere and the mechanisms of isostatic compensation in Australia. J. Geophys. Res. 94, 9353–9367 (1989)CrossRef - 作者单位：Dan McKenzie (1)
1. Department of Earth Sciences, Bullard Labs, Madingley Road, Cambridge, CB3 0EZ, UK - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Applications of Mathematics
Computational Science and Engineering
Mathematical Applications in Earth Sciences - 出版者：Springer Berlin / Heidelberg
- ISSN：1869-2680
文摘
The coherence between Bouguer gravity anomalies and topography is widely used to estimate the value of \(T_{e}\), the effective elastic thickness of the lithosphere. In areas where there is little topography but substantial free air gravity anomalies there is often little coherence between the free air anomalies and topography. In such regions the Bouguer coherence method generally gives estimates of \(T_{e}\) of 90 km or more. A detailed analysis shows that, under these conditions, the value of the Bouguer coherence \(\gamma ^2_b\) is entirely controlled by the ratio of the power spectra of the free air gravity anomalies and the uncompensated topography, and contains no information about the value of \(T_{e}\). What is worse, under these circumstances the variation of \(\gamma ^2_b\) with wavelength closely resembles that expected for large values of \(T_{e}\). These results show that neither the Bouguer coherence method nor the admittance method can produce meaningful estimates of \(T_{e}\) when the free air gravity anomalies are incoherent with the topography.