{"id":"https://openalex.org/W7203465636","doi":"https://doi.org/10.3390/pr14162590","title":"Prediction of Herschel\u2013Bulkley Parameters for Water-Based Drilling Fluids Under Wide Temperature and Pressure Conditions Using Ambient-Condition Parameters","display_name":"Prediction of Herschel\u2013Bulkley Parameters for Water-Based Drilling Fluids Under Wide Temperature and Pressure Conditions Using Ambient-Condition Parameters","publication_year":2026,"publication_date":"2026-08-14","ids":{"openalex":"https://openalex.org/W7203465636","doi":"https://doi.org/10.3390/pr14162590"},"language":"en","primary_location":{"id":"doi:10.3390/pr14162590","doi":"https://doi.org/10.3390/pr14162590","is_oa":true,"landing_page_url":"https://doi.org/10.3390/pr14162590","pdf_url":null,"source":{"id":"https://openalex.org/S4210201879","display_name":"Processes","issn_l":"2227-9717","issn":["2227-9717"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Processes","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/pr14162590","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051429904","display_name":"Guizhen Xin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guizhen Xin","raw_affiliation_strings":["School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China","State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109767287","display_name":"Luxiang Liu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luxiang Liu","raw_affiliation_strings":["School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China","State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111247535","display_name":"Guanghao Shao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghao Shao","raw_affiliation_strings":["School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China","State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079220775","display_name":"Yonghai Gao","orcid":"https://orcid.org/0000-0001-9671-3854","observed_orcids":["https://orcid.org/0000-0001-9671-3854"]},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yonghai Gao","raw_affiliation_strings":["School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China","State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014809179","display_name":"Baojiang Sun","orcid":"https://orcid.org/0000-0002-6193-5657","observed_orcids":["https://orcid.org/0000-0002-6193-5657","https://orcid.org/0000-0003-0788-6361"]},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baojiang Sun","raw_affiliation_strings":["School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China","State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, China"],"raw_orcid":"https://orcid.org/0000-0002-6193-5657","affiliations":[{"raw_affiliation_string":"School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]},{"raw_affiliation_string":"State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210162190"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2896},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2896},"fwci":2.4648,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.91812944,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"14","issue":"16","first_page":"2590","last_page":"2590"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10892","display_name":"Drilling and Well Engineering","score":0.9980000257492065,"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/T10892","display_name":"Drilling and Well Engineering","score":0.9980000257492065,"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/T11379","display_name":"Rheology and Fluid Dynamics Studies","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/1507","display_name":"Fluid Flow and Transfer Processes"},"field":{"id":"https://openalex.org/fields/15","display_name":"Chemical Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10635","display_name":"Hydraulic Fracturing and Reservoir Analysis","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/herschel-bulkley-model","display_name":"Herschel-Bulkley model","score":0.9290000200271606},{"id":"https://openalex.org/keywords/drilling-fluid-rheology","display_name":"drilling fluid rheology","score":0.9340000152587891},{"id":"https://openalex.org/keywords/water-based-drilling-fluids","display_name":"water-based drilling fluids","score":0.9819999933242798},{"id":"https://openalex.org/keywords/temperature-pressure-coupling","display_name":"temperature-pressure coupling","score":0.7200000286102295},{"id":"https://openalex.org/keywords/ultra-deep-wells","display_name":"ultra-deep wells","score":0.8389999866485596},{"id":"https://openalex.org/keywords/shear-thinning","display_name":"shear thinning","score":0.7459999918937683}],"concepts":[{"id":"https://openalex.org/C165838908","wikidata":"https://www.wikidata.org/wiki/Q736777","display_name":"Calibration","level":2,"score":0.7225000262260437},{"id":"https://openalex.org/C200990466","wikidata":"https://www.wikidata.org/wiki/Q271707","display_name":"Rheology","level":2,"score":0.6908000111579895},{"id":"https://openalex.org/C25197100","wikidata":"https://www.wikidata.org/wiki/Q890886","display_name":"Drilling","level":2,"score":0.5024999976158142},{"id":"https://openalex.org/C152068911","wikidata":"https://www.wikidata.org/wiki/Q890914","display_name":"Drilling fluid","level":3,"score":0.49219998717308044},{"id":"https://openalex.org/C188154048","wikidata":"https://www.wikidata.org/wiki/Q6803609","display_name":"Mean absolute error","level":3,"score":0.4862000048160553},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.48330000042915344},{"id":"https://openalex.org/C120934525","wikidata":"https://www.wikidata.org/wiki/Q849149","display_name":"Absolute deviation","level":2,"score":0.4099000096321106},{"id":"https://openalex.org/C80264047","wikidata":"https://www.wikidata.org/wiki/Q7424019","display_name":"Pressure measurement","level":2,"score":0.36239999532699585},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.3621000051498413},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C55037315","wikidata":"https://www.wikidata.org/wiki/Q5421151","display_name":"Experimental data","level":2,"score":0.3361999988555908},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.32760000228881836},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.301800012588501},{"id":"https://openalex.org/C167085575","wikidata":"https://www.wikidata.org/wiki/Q6803654","display_name":"Mean squared prediction error","level":2,"score":0.29910001158714294},{"id":"https://openalex.org/C98156149","wikidata":"https://www.wikidata.org/wiki/Q2414143","display_name":"Pressure gradient","level":2,"score":0.2953999936580658},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2856000065803528},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2825999855995178},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.28060001134872437},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.2700999975204468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.266400009393692},{"id":"https://openalex.org/C78762247","wikidata":"https://www.wikidata.org/wiki/Q1273174","display_name":"Petroleum engineering","level":1,"score":0.2628999948501587}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/pr14162590","doi":"https://doi.org/10.3390/pr14162590","is_oa":true,"landing_page_url":"https://doi.org/10.3390/pr14162590","pdf_url":null,"source":{"id":"https://openalex.org/S4210201879","display_name":"Processes","issn_l":"2227-9717","issn":["2227-9717"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Processes","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/pr14162590","doi":"https://doi.org/10.3390/pr14162590","is_oa":true,"landing_page_url":"https://doi.org/10.3390/pr14162590","pdf_url":null,"source":{"id":"https://openalex.org/S4210201879","display_name":"Processes","issn_l":"2227-9717","issn":["2227-9717"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Processes","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G915370604","display_name":null,"funder_award_id":"52288101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1968371014","https://openalex.org/W2018356326","https://openalex.org/W2024045898","https://openalex.org/W2025702231","https://openalex.org/W2046348375","https://openalex.org/W2056203102","https://openalex.org/W2060762334","https://openalex.org/W2065154675","https://openalex.org/W2087070363","https://openalex.org/W2313172773","https://openalex.org/W2331995477","https://openalex.org/W2884226489","https://openalex.org/W3092365381","https://openalex.org/W3207651931","https://openalex.org/W4253789658","https://openalex.org/W4281686333","https://openalex.org/W4283278271","https://openalex.org/W4292974862","https://openalex.org/W4300003574","https://openalex.org/W4306965369","https://openalex.org/W4313505933","https://openalex.org/W4384502022","https://openalex.org/W4385368439","https://openalex.org/W4389670621","https://openalex.org/W4389719383","https://openalex.org/W4391375451","https://openalex.org/W4401830583","https://openalex.org/W4402281185","https://openalex.org/W4406464758","https://openalex.org/W4409435374","https://openalex.org/W4412943471","https://openalex.org/W4413951869","https://openalex.org/W4414628637","https://openalex.org/W4415204238","https://openalex.org/W4417453527","https://openalex.org/W7125518495","https://openalex.org/W7128769717"],"related_works":["https://openalex.org/W4413951869","https://openalex.org/W7170722323","https://openalex.org/W7223018650","https://openalex.org/W7167784117","https://openalex.org/W2313172773","https://openalex.org/W7125518495","https://openalex.org/W3205985112","https://openalex.org/W3208402550","https://openalex.org/W2359073546","https://openalex.org/W4404112574"],"abstract_inverted_index":{"Accurate":[0],"wellbore-pressure":[1],"prediction":[2],"is":[3],"essential":[4],"for":[5,29,139,179],"safe":[6],"drilling":[7,46],"and":[8,17,32,50,56,63,80,115,132,182,191],"pressure":[9,18,192],"management":[10],"in":[11,39,185],"ultra-deep":[12,186],"wells,":[13],"where":[14],"high":[15],"temperature":[16,190],"strongly":[19],"alter":[20],"drilling-fluid":[21],"rheology.":[22],"Existing":[23],"rheological-parameter":[24],"models":[25],"are":[26],"often":[27],"calibrated":[28],"specific":[30],"fluids":[31,47,109],"narrow":[33],"temperature\u2013pressure":[34,93],"ranges,":[35],"limiting":[36],"their":[37],"use":[38],"ultra-deep-well":[40],"hydraulics.":[41],"We":[42],"measured":[43],"three":[44],"water-based":[45],"at":[48],"temperatures":[49],"pressures":[51],"up":[52],"to":[53,100,172],"210":[54],"\u00b0C":[55],"206.5":[57],"MPa,":[58],"compared":[59],"seven":[60],"rheological":[61],"models,":[62],"developed":[64],"a":[65,92],"multidimensional":[66],"evaluation":[67],"method":[68],"considering":[69],"global":[70],"fitting":[71],"accuracy,":[72],"extreme-condition":[73],"performance,":[74,125],"low-shear-rate":[75],"representation,":[76],"absolute":[77,134],"shear-stress":[78,152],"deviation,":[79],"model":[81,96,120,164],"complexity.":[82],"Using":[83],"ambient-condition":[84],"Herschel\u2013Bulkley":[85],"(H-B)":[86],"parameters":[87,103,145],"as":[88],"baselines,":[89],"we":[90],"proposed":[91],"(T-P)-coupled":[94],"correction":[95],"requiring":[97],"fluid-specific":[98],"calibration":[99],"predict":[101],"H-B":[102,119,148],"over":[104],"the":[105,122,143,147,162,166],"tested":[106],"range.":[107],"The":[108,118],"exhibited":[110],"temperature-induced":[111],"thinning,":[112],"pressure-induced":[113],"thickening,":[114],"shear-thinning":[116],"behavior.":[117],"showed":[121,160],"best":[123],"overall":[124],"with":[126],"mean":[127,133,151,167],"R2":[128],"values":[129],"above":[130],"0.997":[131],"percentage":[135],"errors":[136,153],"below":[137],"2.5%":[138],"all":[140],"fluids.":[141],"Substituting":[142],"corrected":[144],"into":[146],"equation":[149],"yielded":[150],"no":[154],"greater":[155],"than":[156],"4.04%.":[157],"Field":[158],"validation":[159],"that":[161],"T-P-coupled":[163],"reduced":[165],"circulating-pressure-loss":[168],"error":[169],"from":[170],"2.72%":[171],"0.78%.":[173],"This":[174],"approach":[175],"provides":[176],"practical":[177],"inputs":[178],"rheology":[180],"estimation":[181],"circulating-pressure":[183],"calculation":[184],"wells":[187],"under":[188],"wide":[189],"conditions.":[193]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-09-27T08:07:27.782135","created_date":"2026-08-15T00:00:00"}