{"id":"https://openalex.org/W1982149388","doi":"https://doi.org/10.1007/978-3-0348-6389-6_10","title":"Fractals in Geology and Geophysics","display_name":"Fractals in Geology and Geophysics","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W1982149388","doi":"https://doi.org/10.1007/978-3-0348-6389-6_10","mag":"1982149388"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-0348-6389-6_10","doi":"https://doi.org/10.1007/978-3-0348-6389-6_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-0348-6389-6_10","pdf_url":null,"source":{"id":"https://openalex.org/S4306462920","display_name":"Birkh\u00e4user Basel eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fractals in Geophysics","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W645860075","display_name":"Fractals in Geophysics"},"type":"book-chapter","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008810306","display_name":"Donald L. Turcotte","orcid":"https://orcid.org/0000-0002-4905-4435","observed_orcids":["https://orcid.org/0000-0002-4905-4435"]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Donald L. Turcotte","raw_affiliation_strings":["Department of Geological Sciences, Snee Hall, Cornell University, Ithaca, NY, 14853, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Geological Sciences, Snee Hall, Cornell University, Ithaca, NY, 14853, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008810306"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":39.2088,"has_fulltext":false,"cited_by_count":322,"citation_normalized_percentile":{"value":0.996633,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"171","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.21979999542236328,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.21979999542236328,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.08619999885559082,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.07460000365972519,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fractals","display_name":"fractals","score":0.9869999885559082},{"id":"https://openalex.org/keywords/scale-invariance","display_name":"scale invariance","score":0.8539999723434448},{"id":"https://openalex.org/keywords/fractal-dimension","display_name":"fractal dimension","score":0.6819999814033508},{"id":"https://openalex.org/keywords/mandelbrot","display_name":"Mandelbrot","score":0.7670000195503235},{"id":"https://openalex.org/keywords/fractal-clustering","display_name":"fractal clustering","score":0.9369999766349792},{"id":"https://openalex.org/keywords/self-affine-fractals","display_name":"self-affine fractals","score":0.9879999756813049},{"id":"https://openalex.org/keywords/geoid","display_name":"geoid","score":0.9100000262260437},{"id":"https://openalex.org/keywords/earthquakes","display_name":"earthquakes","score":0.5460000038146973},{"id":"https://openalex.org/keywords/mineral-deposits","display_name":"mineral deposits","score":0.8230000138282776},{"id":"https://openalex.org/keywords/oil-fields","display_name":"oil fields","score":0.9580000042915344}],"concepts":[{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.905805230140686},{"id":"https://openalex.org/C135593079","wikidata":"https://www.wikidata.org/wiki/Q1750766","display_name":"Scale invariance","level":2,"score":0.6865642070770264},{"id":"https://openalex.org/C97519476","wikidata":"https://www.wikidata.org/wiki/Q257","display_name":"Mandelbrot set","level":3,"score":0.6503562331199646},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.6219528913497925},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.6008131504058838},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4545799791812897},{"id":"https://openalex.org/C162494671","wikidata":"https://www.wikidata.org/wiki/Q2845227","display_name":"Fractal analysis","level":4,"score":0.4509083032608032},{"id":"https://openalex.org/C8058405","wikidata":"https://www.wikidata.org/wiki/Q46255","display_name":"Geophysics","level":1,"score":0.44824889302253723},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.44550833106040955},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33998364210128784},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.3159162998199463},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24964889883995056},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.18480071425437927},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.17962244153022766},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12032794952392578},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1021551787853241},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08915913105010986},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08458387851715088}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-0348-6389-6_10","doi":"https://doi.org/10.1007/978-3-0348-6389-6_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-0348-6389-6_10","pdf_url":null,"source":{"id":"https://openalex.org/S4306462920","display_name":"Birkh\u00e4user Basel eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fractals in Geophysics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":72,"referenced_works":["https://openalex.org/W377385579","https://openalex.org/W1519488000","https://openalex.org/W1529296191","https://openalex.org/W1533315712","https://openalex.org/W1583046518","https://openalex.org/W1965138041","https://openalex.org/W1967498851","https://openalex.org/W1967979520","https://openalex.org/W1969324628","https://openalex.org/W1970694544","https://openalex.org/W1971055245","https://openalex.org/W1973810636","https://openalex.org/W1979084985","https://openalex.org/W1979115845","https://openalex.org/W1986534137","https://openalex.org/W1990436032","https://openalex.org/W1995312339","https://openalex.org/W2002815599","https://openalex.org/W2005298535","https://openalex.org/W2007008764","https://openalex.org/W2008183770","https://openalex.org/W2009911423","https://openalex.org/W2011002922","https://openalex.org/W2012175666","https://openalex.org/W2015025790","https://openalex.org/W2018464026","https://openalex.org/W2018550203","https://openalex.org/W2018683223","https://openalex.org/W2019845427","https://openalex.org/W2022593932","https://openalex.org/W2031060282","https://openalex.org/W2031753087","https://openalex.org/W2044445515","https://openalex.org/W2044466196","https://openalex.org/W2047577845","https://openalex.org/W2057728542","https://openalex.org/W2060384471","https://openalex.org/W2060520261","https://openalex.org/W2065357280","https://openalex.org/W2065917507","https://openalex.org/W2073443556","https://openalex.org/W2077112160","https://openalex.org/W2078206416","https://openalex.org/W2096165878","https://openalex.org/W2128251347","https://openalex.org/W2132325589","https://openalex.org/W2133077874","https://openalex.org/W2137641708","https://openalex.org/W2140057726","https://openalex.org/W2141394518","https://openalex.org/W2146503084","https://openalex.org/W2147866709","https://openalex.org/W2157161360","https://openalex.org/W2157503452","https://openalex.org/W2161168724","https://openalex.org/W2161634485","https://openalex.org/W2167727246","https://openalex.org/W2168923001","https://openalex.org/W2169449427","https://openalex.org/W2171155248","https://openalex.org/W2171816060","https://openalex.org/W2301875544","https://openalex.org/W2326342974","https://openalex.org/W2326958447","https://openalex.org/W2343367636","https://openalex.org/W2515651751","https://openalex.org/W2800860906","https://openalex.org/W2982985052","https://openalex.org/W3013659009","https://openalex.org/W4236459458","https://openalex.org/W6605221955","https://openalex.org/W6818969820"],"related_works":["https://openalex.org/W49339017","https://openalex.org/W7028595273","https://openalex.org/W2011093727","https://openalex.org/W2503041599","https://openalex.org/W7099296785","https://openalex.org/W1673735772","https://openalex.org/W2738908848","https://openalex.org/W2092500311","https://openalex.org/W982912026","https://openalex.org/W4411046900"],"abstract_inverted_index":{"The":[0,29,76],"definition":[1],"of":[2,10,55,61,71,78,87,94,98],"a":[3,14,56,68,83],"fractal":[4,72,109],"distribution":[5],"is":[6,91],"that":[7],"the":[8,22,53,59,62,95,129],"number":[9],"objects":[11],"N":[12,24],"with":[13,21],"characteristic":[15],"size":[16],"greater":[17],"than":[18,124],"r":[19,26],"scales":[20],"relation":[23],"~":[25],"\u2212D":[27],".":[28],"frequency-size":[30],"distributions":[31],"for":[32],"islands,":[33],"earthquakes,":[34],"fragments,":[35],"ore":[36],"deposits,":[37],"and":[38,132],"oil":[39],"fields":[40],"often":[41],"satisfy":[42],"this":[43],"relation.":[44],"Fractals":[45],"were":[46],"originally":[47],"introduced":[48],"by":[49],"Mandelbrot":[50],"to":[51,58,81,101,108,117],"relate":[52],"length":[54,60],"coastline":[57],"measuring":[63],"stick.":[64],"This":[65],"application":[66],"illustrates":[67],"fundamental":[69],"aspect":[70],"distributions,":[73],"scale":[74,84,99,104],"invariance.":[75],"requirement":[77],"an":[79],"object":[80],"define":[82],"in":[85],"photographs":[86],"many":[88],"geological":[89,102],"features":[90],"one":[92],"indication":[93],"wide":[96],"applicability":[97],"invariance":[100,105],"problems,":[103],"can":[106,113],"lead":[107],"clustering.":[110],"Geophysical":[111],"spectra":[112],"also":[114],"be":[115],"related":[116],"fractals;":[118],"these":[119],"are":[120],"self-affine":[121],"fractals":[122],"rather":[123],"self-similar":[125],"fractals.":[126],"Examples":[127],"include":[128],"earth\u2019s":[130],"topography":[131],"geoid.":[133]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":27},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":13}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
