2026-09-18T19:11:41Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/535332022-02-02T16:59:30Zcom_1721.1_7582com_1721.1_7581col_1721.1_131023
Stephen M. Simpson, Jr.
Greenfield, Roy
Massachusetts Institute of Technology. Dept. of Geology and Geophysics.
Massachusetts Institute of Technology. Department of Geology and Geophysics
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
2010-04-07T13:37:56Z
2010-04-07T13:37:56Z
1962
http://hdl.handle.net/1721.1/53533
33195329
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Geology and Geophysics, 1962.
"June 1962."
Includes bibliographical references (leaf 73).
The response to a harmonic point source in a liquid layer overlying a liquid half space is computed as a function of frequency. Included are the contributions form all normal modes that occur, and the branch-line integral representing the refraction arrival. The value of the refraction arrival is given in terms of the complex error function. The effect of different velocity and density contrasts are considered, and the effect of source depth and the distance to the receiver are investigated. The results giving the behavior of the magnitude of the branch line show that it is much larger at the mode cutoffs than at other values of frequency. The total amplitude of the response shows a regular oscillation in the frequency range in which two modes are present, and somewhat irregular high and low values over the range in which three modes are present. This behavior reflects the difference in amplitude at frequencies for which modes reinforce or interfere with each other.
by Roy J. Greenfield.
M.S.
73 leaves
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by
copyright. They may be viewed from this source for any purpose, but
reproduction or distribution in any format is prohibited without written
permission. See provided URL for inquiries about permission.
http://dspace.mit.edu/handle/1721.1/7582
Geology and Geophysics.
The response of a point source in a liquid layer overlying a liquid half space
Thesis
application/pdf
false
Publication
unknown
unknown
<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="094b219e-d9ea-40c8-b1a7-f3ee5e1229f0">
<Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type>
<Language>eng</Language>
<Title>The response of a point source in a liquid layer overlying a liquid half space</Title>
<PublishedIn>
<Publication>
</Publication>
</PublishedIn>
<PublicationDate>1962</PublicationDate>
<Authors>
<Author>
<DisplayName>Greenfield, Roy</DisplayName>
<Affiliation>
<OrgUnit>
</OrgUnit>
</Affiliation>
</Author>
</Authors>
<Editors>
</Editors>
<Publishers>
<Publisher>
<DisplayName>Massachusetts Institute of Technology</DisplayName>
<OrgUnit />
</Publisher>
</Publishers>
<License>http://dspace.mit.edu/handle/1721.1/7582</License>
<Keyword>Geology and Geophysics.</Keyword>
<Abstract>The response to a harmonic point source in a liquid layer overlying a liquid half space is computed as a function of frequency. Included are the contributions form all normal modes that occur, and the branch-line integral representing the refraction arrival. The value of the refraction arrival is given in terms of the complex error function. The effect of different velocity and density contrasts are considered, and the effect of source depth and the distance to the receiver are investigated. The results giving the behavior of the magnitude of the branch line show that it is much larger at the mode cutoffs than at other values of frequency. The total amplitude of the response shows a regular oscillation in the frequency range in which two modes are present, and somewhat irregular high and low values over the range in which three modes are present. This behavior reflects the difference in amplitude at frequencies for which modes reinforce or interfere with each other.</Abstract>
<Access xmlns="http://purl.org/coar/access_right"
>
</Access>
</Publication>