{"id":"https://openalex.org/W2114704344","doi":"https://doi.org/10.1109/tim.2011.2138210","title":"On Variants of the Frequency Power Law for the Electromagnetic Characterization of Hydraulic Concrete","display_name":"On Variants of the Frequency Power Law for the Electromagnetic Characterization of Hydraulic Concrete","publication_year":2011,"publication_date":"2011-04-26","ids":{"openalex":"https://openalex.org/W2114704344","doi":"https://doi.org/10.1109/tim.2011.2138210","mag":"2114704344"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2011.2138210","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2011.2138210","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"},"type":"article","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/A5105841596","display_name":"Amine Ihamouten","orcid":null},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Amine Ihamouten","raw_affiliation_strings":["Laboratoire Central des Ponts et Chauss\u00e9es, Bouguenais, France","Lab. Central des Ponts et Chaussees, Bouguenais, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Central des Ponts et Chauss\u00e9es, Bouguenais, France","institution_ids":[]},{"raw_affiliation_string":"Lab. Central des Ponts et Chaussees, Bouguenais, France","institution_ids":["https://openalex.org/I142631665"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044442361","display_name":"Khaled Chahine","orcid":"https://orcid.org/0000-0003-3100-1869"},"institutions":[{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Khaled Chahine","raw_affiliation_strings":["Laboratoire Central des Ponts et Chauss\u00e9es, Bouguenais, France","Blaise Pascal Univ., Clermont, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Central des Ponts et Chauss\u00e9es, Bouguenais, France","institution_ids":[]},{"raw_affiliation_string":"Blaise Pascal Univ., Clermont, France","institution_ids":["https://openalex.org/I198244214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072431209","display_name":"Vincent Baltazart","orcid":"https://orcid.org/0000-0002-3261-5179"},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Baltazart","raw_affiliation_strings":["Laboratoire Central des Ponts et Chauss\u00e9es, Bouguenais, France","Lab. Central des Ponts et Chaussees, Bouguenais, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Central des Ponts et Chauss\u00e9es, Bouguenais, France","institution_ids":[]},{"raw_affiliation_string":"Lab. Central des Ponts et Chaussees, Bouguenais, France","institution_ids":["https://openalex.org/I142631665"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014966291","display_name":"G\u00e9raldine Villain","orcid":null},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"G\u00e9raldine Villain","raw_affiliation_strings":["Laboratoire Central des Ponts et Chauss\u00e9es, Bouguenais, France","Lab. Central des Ponts et Chaussees, Bouguenais, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Central des Ponts et Chauss\u00e9es, Bouguenais, France","institution_ids":[]},{"raw_affiliation_string":"Lab. Central des Ponts et Chaussees, Bouguenais, France","institution_ids":["https://openalex.org/I142631665"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048931393","display_name":"Xavier D\u00e9robert","orcid":"https://orcid.org/0000-0002-0403-0085"},"institutions":[{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Derobert","raw_affiliation_strings":["Laboratoire Central des Ponts et Chauss\u00e9es, Bouguenais, France","Lab. Central des Ponts et Chaussees, Bouguenais, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Central des Ponts et Chauss\u00e9es, Bouguenais, France","institution_ids":[]},{"raw_affiliation_string":"Lab. Central des Ponts et Chaussees, Bouguenais, France","institution_ids":["https://openalex.org/I142631665"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5105841596"],"corresponding_institution_ids":["https://openalex.org/I142631665"],"apc_list":null,"apc_paid":null,"fwci":8.0461,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.97181834,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"11","first_page":"3658","last_page":"3668"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11609","display_name":"Geophysical Methods and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11609","display_name":"Geophysical Methods and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11312","display_name":"Soil Moisture and Remote Sensing","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11757","display_name":"Seismic Waves and Analysis","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"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/parametric-statistics","display_name":"Parametric statistics","score":0.5753531455993652},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4980342388153076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49309250712394714},{"id":"https://openalex.org/keywords/power-law","display_name":"Power law","score":0.4859822690486908},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44239795207977295},{"id":"https://openalex.org/keywords/permittivity","display_name":"Permittivity","score":0.4267715811729431},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.41682565212249756},{"id":"https://openalex.org/keywords/parametric-model","display_name":"Parametric model","score":0.4165915250778198},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3841138482093811},{"id":"https://openalex.org/keywords/dielectric","display_name":"Dielectric","score":0.3723478317260742},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32782822847366333},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2611803412437439},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19321218132972717}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5753531455993652},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4980342388153076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49309250712394714},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.4859822690486908},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44239795207977295},{"id":"https://openalex.org/C168651791","wikidata":"https://www.wikidata.org/wiki/Q211569","display_name":"Permittivity","level":3,"score":0.4267715811729431},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.41682565212249756},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.4165915250778198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3841138482093811},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.3723478317260742},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32782822847366333},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2611803412437439},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19321218132972717},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tim.2011.2138210","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2011.2138210","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00905796v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00905796","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement, 2011, 60 (11), pp 3658-3668. &#x27E8;10.1109/TIM.2011.2138210&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-01708079v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01708079","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Instrumentation and Measurement, 2011, 60 (11), pp.3658 - 3668. &#x27E8;10.1109/TIM.2011.2138210&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6700000166893005}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W232893681","https://openalex.org/W627295303","https://openalex.org/W1971971299","https://openalex.org/W1992440147","https://openalex.org/W2010170910","https://openalex.org/W2017520518","https://openalex.org/W2024547535","https://openalex.org/W2034734390","https://openalex.org/W2045251026","https://openalex.org/W2053790634","https://openalex.org/W2054656334","https://openalex.org/W2059912591","https://openalex.org/W2065790737","https://openalex.org/W2071265088","https://openalex.org/W2076174436","https://openalex.org/W2081239232","https://openalex.org/W2085542789","https://openalex.org/W2099532689","https://openalex.org/W2130039915","https://openalex.org/W2158507614","https://openalex.org/W2730357741","https://openalex.org/W4235935063"],"related_works":["https://openalex.org/W2289718384","https://openalex.org/W1995675544","https://openalex.org/W2509524819","https://openalex.org/W2012121796","https://openalex.org/W2068427817","https://openalex.org/W2952090425","https://openalex.org/W2538333368","https://openalex.org/W3127866798","https://openalex.org/W4294845631","https://openalex.org/W1518153952"],"abstract_inverted_index":{"The":[0,162],"objective":[1],"of":[2,20,24,32,55,143,151,160,209,218,237],"this":[3,47,93],"paper":[4],"is":[5],"threefold:":[6],"First,":[7],"dielectric":[8],"permittivity":[9],"measurements":[10],"on":[11,38,233],"concrete":[12,73,152,220],"specimens":[13],"are":[14,146],"compared":[15],"among":[16],"the":[17,52,56,89,96,105,111,124,134,173,177,183,199,213,219,234,238],"different":[18],"variants":[19,26,50,145],"Jonscher's":[21,210],"model.":[22],"Each":[23],"these":[25,49,144],"considers":[27],"just":[28],"a":[29,60,82,137,188],"limited":[30],"number":[31],"parameters":[33,98,116,126,171],"(two":[34],"or":[35],"three),":[36],"based":[37],"certain":[39],"material-dependent":[40],"and/or":[41],"bandwidth-related":[42],"simplifying":[43],"assumptions.":[44],"According":[45],"to":[46,101,119,136,148,197,228],"setup,":[48],"affect":[51],"inherent":[53],"\u201cuniversality\u201d":[54],"model":[57,91,102,170,211],"by":[58,109,157],"imposing":[59],"tradeoff":[61],"between":[62],"representativeness":[63],"and":[64,154,215],"practicality.":[65],"Such":[66],"an":[67,149],"effect":[68],"becomes":[69],"more":[70],"pronounced":[71],"for":[72,87,168],"mixtures":[74,153],"with":[75,212],"high":[76],"moisture":[77],"content.":[78],"Next,":[79],"we":[80],"propose":[81],"computationally":[83],"efficient":[84],"two-step":[85],"procedure":[86,94,175,223],"estimating":[88],"four":[90],"parameters;":[92],"filters":[95],"linear":[97,139],"that":[99,166],"contribute":[100],"deviation":[103],"from":[104],"frequency":[106],"power":[107],"law":[108],"applying":[110],"Kramers-Kr\u00f6nig":[112],"relations.":[113],"Only":[114],"two":[115],"therefore":[117],"need":[118],"be":[120,128],"estimated":[121,129],"numerically,":[122],"whereas":[123],"filtered":[125],"can":[127],"in":[130,195,206],"closed":[131],"form":[132],"as":[133],"solution":[135],"simple":[138],"least-squares":[140],"problem.":[141],"All":[142],"applied":[147],"array":[150],"then":[155],"evaluated":[156],"their":[158],"goodness":[159],"fit.":[161],"results":[163],"obtained":[164],"demonstrate":[165],"accounting":[167],"all":[169],"via":[172],"proposed":[174],"yields":[176],"smallest":[178],"fitting":[179],"error,":[180],"thus":[181],"enhancing":[182],"data":[184],"interpretation":[185],"stage.":[186],"Moreover,":[187],"parametric":[189],"study":[190],"has":[191,224],"been":[192],"carried":[193],"out":[194],"order":[196],"correlate":[198],"dispersion":[200],"parameter":[201],"<i":[202],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[203],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>":[204],"present":[205],"each":[207],"variant":[208],"physical":[214],"hydric":[216],"characteristics":[217],"mixtures.":[221],"This":[222],"made":[225],"it":[226],"possible":[227],"derive":[229],"trends":[230],"providing":[231],"information":[232],"conditioning":[235],"state":[236],"studied":[239],"media.":[240]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}