{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/53533"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/53533","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"The response of a point source in a liquid layer overlying a liquid half space","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_html":"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_has_math":false,"creators":["Greenfield, Roy"],"institution":"Massachusetts Institute of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Department of Geology and Geophysics","school":null,"contributors":[],"advisors":["Stephen M. Simpson, Jr."],"committee_chairs":[],"committee_members":[],"year":1962,"date_issued":"1962","date_published":"1962","updated_at":"2026-07-22T22:20:48Z","subjects":["Geology and Geophysics."],"languages":["eng"],"rights":["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."],"rights_urls":["http://dspace.mit.edu/handle/1721.1/7582"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1721.1/53533","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Stephen M. Simpson, Jr."]},{"key":"dc:contributor.department","label":"Department","values":["Massachusetts Institute of Technology. Department of Geology and Geophysics","Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences"]},{"key":"dc:contributor.other","label":"Dc Contributor Other","values":["Massachusetts Institute of Technology. Dept. of Geology and Geophysics."]},{"key":"dc:creator","label":"Author","values":["Greenfield, Roy"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2010-04-07T13:37:56Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2010-04-07T13:37:56Z"]},{"key":"dc:date.issued","label":"Date","values":["1962"]},{"key":"dc:publisher","label":"Institution","values":["Massachusetts Institute of Technology"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Geology and Geophysics."]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["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."]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://dspace.mit.edu/handle/1721.1/7582"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1721.1/53533"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Geology and Geophysics, 1962.","\"June 1962.\"","Includes bibliographical references (leaf 73)."]},{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["M.S."]},{"key":"dc:title","label":"Title","values":["The response of a point source in a liquid layer overlying a liquid half space"]}]}],"canonical_facts":{"dc:contributor.advisor":["Stephen M. Simpson, Jr."],"dc:contributor.department":["Massachusetts Institute of Technology. Department of Geology and Geophysics","Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences"],"dc:contributor.other":["Massachusetts Institute of Technology. Dept. of Geology and Geophysics."],"dc:creator":["Greenfield, Roy"],"dc:date.accessioned":["2010-04-07T13:37:56Z"],"dc:date.available":["2010-04-07T13:37:56Z"],"dc:date.issued":["1962"],"dc:description":["Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Geology and Geophysics, 1962.","\"June 1962.\"","Includes bibliographical references (leaf 73)."],"dc:description.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."],"dc:description.degree":["M.S."],"dc:identifier.uri":["http://hdl.handle.net/1721.1/53533"],"dc:language.iso":["eng"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["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."],"dc:rights.uri":["http://dspace.mit.edu/handle/1721.1/7582"],"dc:subject":["Geology and Geophysics."],"dc:title":["The response of a point source in a liquid layer overlying a liquid half space"],"dc:type":["Thesis"]},"updated_at":"2026-07-22T22:20:48Z"}