P-wave seismograms from continuously varying transition zones—I. Acoustic media
The P-wave response from a class of acoustic transition zones with exponential variation in the velocity is studied in the frequency and time domains by means of contour integration in the complex k plane and the fast Fourier transform (FFT). Interesting relationships between received pulse shapes a...
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| Published in | Geophysical Journal of the Royal Astronomical Society Vol. 52; no. 1; pp. 165 - 181 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford, UK
Blackwell Publishing Ltd
01.01.1978
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| Online Access | Get full text |
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| Abstract | The P-wave response from a class of acoustic transition zones with exponential variation in the velocity is studied in the frequency and time domains by means of contour integration in the complex k plane and the fast Fourier transform (FFT). Interesting relationships between received pulse shapes and velocity gradients inside the transition zone are observed. It is suggested that the models could be of practical interest, e.g. in interpreting observations from explosion seismology. For one model the results from the contour integral method are compared with those from the reflectivity method of Fuchs. |
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| AbstractList | The P‐wave response from a class of acoustic transition zones with exponential variation in the velocity is studied in the frequency and time domains by means of contour integration in the complex k plane and the fast Fourier transform (FFT). Interesting relationships between received pulse shapes and velocity gradients inside the transition zone are observed. It is suggested that the models could be of practical interest, e.g. in interpreting observations from explosion seismology. For one model the results from the contour integral method are compared with those from the reflectivity method of Fuchs. |
| Author | Goda, M. A. A. Rao, C. R. A. |
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| CitedBy_id | crossref_primary_10_1098_rspa_1978_0033 crossref_primary_10_1111_j_1365_246X_1978_tb04227_x |
| Cites_doi | 10.1111/j.1365-246X.1974.tb01241.x 10.1007/BF02636484 10.1785/BSSA0560030633 10.1785/BSSA0640010025 10.1785/BSSA0580030963 10.1785/BSSA0560020511 10.1111/j.1365-246X.1971.tb01834.x 10.1785/BSSA0650010037 10.1111/j.1365-246X.1975.tb07044.x 10.1029/RG008i003p00517 10.1029/JB074i006p01556 10.1007/BF01623912 10.1111/j.1365-246X.1967.tb02153.x 10.1111/j.1365-246X.1971.tb01848.x 10.1785/BSSA0540010001 10.1190/1.1439528 |
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| Notes | ark:/67375/HXZ-S5KQS502-P Present address: Department of Mathematics and Physics, Faculty of Engineering, University of Cairo, Giza, Egypt. istex:A19FF5FD10CFA32F101CBFF67DC92255829B5292 Department of Mathematics and Physics, Faculty of Engineering, University of Cairo, Giza, Egypt. |
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| PublicationDate | 1978-01 January 1978 1978-01-01 |
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| References | 1968; 58 1970; 8 1974a; 37 1971; 61 1965; 221 1962; 6 1971; 24 1969; 74 1971; 23 1971; 15 1974b; 64 1961; 2 1964; 54 1966b; 56 1965a; 30 1967; 13 1971 1975; 65 1965b; 37 1975; 40 1966a; 56 1968 HIRASAWA (15_500183) 1971; 61 HRON (17_596170) 1974; 64 (11_43869397) 1965; 37 NAKAMURA (19_296245) 1964; 54 (18_43869399) 1971; 24 (3_43868813) 1975; 40 (10_43869396) 1965; 30 GUPTA (12_324554) 1966; 56 (16_43869398) 1974; 37 (23_43869402) 1961; 2 HELMBERGER (14_370953) 1968; 58 GUPTA (13_321076) 1966; 56 (21_43869401) 1970; 8 (6_43868815) 1967; 13 BENNETT (2_658138) 1975; 65 (22_43861046) 1969; 74 (4_43869394) 1962; 6 (5_43869395) 1965; 221 (9_43862482) 1971; 23 NAKAMURA (20_373061) 1968; 58 (1_43869393) 1971; 15 |
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Res. – volume: 61 start-page: 1 year: 1971 end-page: 25 article-title: Reflected and head waves from a linear transition layer in a fluid medium publication-title: Bull. seism. Soc. Am. – volume: 64 start-page: 25 year: 1974b end-page: 32 article-title: The shadow from a velocity reversal publication-title: Bull. seism. Soc. Am. – volume: 56 start-page: 633 year: 1966b end-page: 642 article-title: Reflection of plane elastic waves from transition layers with arbitrary variation of velocity and density publication-title: Bull. seism. Soc. Am. – volume: 15 start-page: 147 year: 1971 end-page: 160 article-title: Modellseismische untersuchungen an 2‐und 3‐dimensionalen testmodellen, Teil 1 publication-title: Studia geoph. geod. – volume: 221 start-page: 135 year: 1965 end-page: 245 article-title: The dynamic properties of reflected and head waves around the critical point publication-title: Trav. Inst. Geophys. Acad. Tchécol. Sci. – volume: 6 start-page: 215 year: 1962 end-page: 234 article-title: On the position of the maximum of the amplitude curves of reflected waves publication-title: Studia geoph. geod. – volume: 58 start-page: 179 year: 1968 end-page: 214 article-title: The crust‐mantle transition in the Bering Sea publication-title: Bull. seism. Soc. Am. – year: 1971 – start-page: 27 year: 1968 end-page: 41 article-title: The reflection of spherical waves from transition zones with arbitrary depth‐dependent elastic moduli and density publication-title: J. Phys. Earth, 16, Special Issue – volume: 24 start-page: 77 year: 1971 end-page: 95 article-title: Head waves from different transition layers publication-title: Geophys. J. R. astr. Soc. – volume: 8 start-page: 517 year: 1970 end-page: 532 article-title: Reflection of acoustic waves from a continuously varying interfacial region publication-title: Rey. Geophys. 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Soc. – volume: 37 start-page: 305 year: 1974 ident: 16_43869398 publication-title: GEOPHYS J R ASTR SOC doi: 10.1111/j.1365-246X.1974.tb01241.x – volume: 6 start-page: 215 year: 1962 ident: 4_43869394 publication-title: STUDIA GEOPH GEOD doi: 10.1007/BF02636484 – volume: 56 start-page: 633 issn: 0037-1106 issue: 3 year: 1966 ident: 13_321076 publication-title: Bulletin of the Seismological Society of America doi: 10.1785/BSSA0560030633 contributor: fullname: GUPTA – volume: 61 start-page: 1 issn: 0037-1106 issue: 1 year: 1971 ident: 15_500183 publication-title: Bulletin of the Seismological Society of America contributor: fullname: HIRASAWA – volume: 58 start-page: 179 issn: 0037-1106 issue: 1 year: 1968 ident: 14_370953 publication-title: Bulletin of the Seismological Society of America contributor: fullname: HELMBERGER – volume: 64 start-page: 25 issn: 0037-1106 issue: 1 year: 1974 ident: 17_596170 publication-title: Bulletin of the Seismological Society of America doi: 10.1785/BSSA0640010025 contributor: fullname: HRON – volume: 221 start-page: 135 year: 1965 ident: 5_43869395 publication-title: TRAV INST GEOPHYS ACAD TCHECOL SCI – volume: 58 start-page: 963 issn: 0037-1106 issue: 3 year: 1968 ident: 20_373061 publication-title: Bulletin of the Seismological Society of America doi: 10.1785/BSSA0580030963 contributor: fullname: NAKAMURA – volume: 37 start-page: 255 issn: 1520-8524 year: 1965 ident: 11_43869397 publication-title: Journal of the Acoustical Society of America – volume: 56 start-page: 511 issn: 0037-1106 issue: 2 year: 1966 ident: 12_324554 publication-title: Bulletin of the Seismological Society of America doi: 10.1785/BSSA0560020511 contributor: fullname: GUPTA – volume: 23 start-page: 417 year: 1971 ident: 9_43862482 publication-title: GEOPHYS J R ASTR SOC doi: 10.1111/j.1365-246X.1971.tb01834.x – volume: 65 start-page: 37 issn: 0037-1106 issue: 1 year: 1975 ident: 2_658138 publication-title: Bulletin of the Seismological Society of America doi: 10.1785/BSSA0650010037 contributor: fullname: BENNETT – volume: 40 start-page: 145 year: 1975 ident: 3_43868813 publication-title: GEOPHYS J R ASTR SOC doi: 10.1111/j.1365-246X.1975.tb07044.x – volume: 8 start-page: 517 year: 1970 ident: 21_43869401 publication-title: REY GEOPHYS SPACE PHYS doi: 10.1029/RG008i003p00517 – volume: 2 start-page: 77 year: 1961 ident: 23_43869402 publication-title: JAPAN J GEOPHYS – volume: 74 start-page: 1556 year: 1969 ident: 22_43861046 publication-title: J GEOPHYS RES doi: 10.1029/JB074i006p01556 – volume: 15 start-page: 147 year: 1971 ident: 1_43869393 publication-title: STUDIA GEOPH GEOD doi: 10.1007/BF01623912 – volume: 13 start-page: 187 year: 1967 ident: 6_43868815 publication-title: GEOPHYS J R ASTR SOC doi: 10.1111/j.1365-246X.1967.tb02153.x – volume: 24 start-page: 77 year: 1971 ident: 18_43869399 publication-title: GEOPHYS J R ASTR SOC doi: 10.1111/j.1365-246X.1971.tb01848.x – volume: 54 start-page: 1 issn: 0037-1106 issue: 1 year: 1964 ident: 19_296245 publication-title: Bulletin of the Seismological Society of America doi: 10.1785/BSSA0540010001 contributor: fullname: NAKAMURA – volume: 30 start-page: 122 year: 1965 ident: 10_43869396 publication-title: GEOPHYS doi: 10.1190/1.1439528 |
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| Snippet | The P-wave response from a class of acoustic transition zones with exponential variation in the velocity is studied in the frequency and time domains by means... The P‐wave response from a class of acoustic transition zones with exponential variation in the velocity is studied in the frequency and time domains by means... |
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| Title | P-wave seismograms from continuously varying transition zones—I. Acoustic media |
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