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| Title | Investigation of numerical methods in inversion of earthquake source, 1986 |
| Title (alternate) | Civil Engineering Technical Report Series - Strong Motion Group Contributions CE 86-01 |
| Type of alternate title | series |
| Description | The inverse problem with an application to the earthquake source inversion has been investigated. The kinematical model is used to describe the earthquake source and the Body Force Equivalent (B.F.E.) is considered as a mathematical model in the inversion. It is shown that the integral part representation of the source radiation, due only to displacement discontinuity, is independent of the force behavior at the fault. Also, the presence of subsequent force discontinuity will not affect the integral representation. Under the assumption of force continuity, it is shown that the dislocation vector is the eigenvalue solution of a certain linear operator.; To obtain a solution a least-squares technique has been employed. The least squares (LSQ) approach has been investigated in some detail from both the theoretical and the numerical point of view. Tikhonov regularization has been employed to provide a stable and meaningful solution. The regularization error and the rate of convergence are also discussed.; The theoretical results have been implemented into a practical application through Singular Value Decomposition (S.V.D) of the LSQ system matrix. For the purpose of source inversion the LSQ model is improved by introducing shifting optimization. Based on the spatial properties of dislocation, expansion of the dislocation into a series of an appropriately chosen set of functions is also presented.; As an application, the source inversion for the Imperial Valley earthquake of 1979 in California is presented. Detailed discussions and comparison are included between different LSQ models. Also, the effects of different regularization parameters on the dislocation have been considered. |
| Subject (lcsh) |
Earthquake engineering Structural dynamics Structural engineering Buildings -- Earthquake effects Earthquake hazard analysis |
| Author |
Jordanovski, Ljupco R. Trifunac, Mihailo D. (Mihailo Dimitrije) Lee, V. W. (Vincent W.) |
| Contributor | USC Viterbi School of Engineering |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Date created | 1986-01 |
| Date issued | 1986-01 |
| Type | texts |
| Format (aat) | technical reports |
| Format (imt) |
application/pdf application/zip |
| Language | English |
| Legacy record ID | uscfac-m44 |
| Part of collection | University of Southern California Faculty Research and Publications |
| Series | Civil Engineering Technical Report Series - Strong Motion Group Contributions |
| Rights | Earthquake Engineering – Strong Motion Research Group, Civil Engineering Department, Viterbi School of Engineering, University of Southern California, Los Angeles, CA 90089-2531; Tel. (213) 740-0603, fax (213) 744-1426; http://www.usc.edu/dept/civil_eng/Earthquake_eng/ |
| Repository name | Libraries, University of Southern California |
| Repository address | University of Southern California Digital Library, USC Libraries, 3550 Trousdale Parkway, University Park Campus, Los Angeles, CA 90089-0185 |
| Filename | uscfac-CE86-01_1-abstr; uscfac-CE86-01_2-chap1; uscfac-CE86-01_3-chap2; uscfac-CE86-01_4-chap3; uscfac-CE86-01_5-chap4; uscfac-CE86-01_6-chap5; uscfac-CE86-01_7-refs; uscfac-CE86-01_8-appdx; uscfac-CE86-01 |
Description
| Title | Page 1 |
| Archival file | uscfac_Volume6/uscfac-CE86-01_1-abstr.pdf |
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