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基于向量夹角余弦的喀斯特地区水资源承载力评价(英文).docx

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基于向量夹角余弦的喀斯特地区水资源承载力评价(英文) Karstareasareuniquegeologicalformationscharacterizedbysolublerockssuchaslimestone,dolomite,andgypsumthatarehighlysusceptibletoerosionanddissolution.Thepresenceofsuchrocksinkarstareasresultsinauniquetopographythatischaracterizedbysinkholes,undergrounddrainagesystems,andcaverns.Thesefeatureshavesignificantimplicationsforwaterresourcemanagementintheseareas,particularlyindeterminingthewaterresourcecarryingcapacity.Inthispaper,weaimtoevaluatethewaterresourcecarryingcapacityofkarstareasusingvectoranglecosine. Thewaterresourcecarryingcapacityreferstothemaximumamountofwaterthatanareacansustainablysupportwithoutcausinganyadverseimpactsontheenvironmentandhumanactivities.Thiscapacityisinfluencedbyvariousfactors,includingthegeology,hydrology,climate,andlandusepatternsofthearea.Inkarstareas,thegeologicalfactorsplayadominantroleindeterminingthewaterresourcecarryingcapacity.Thesolublenatureoftherocksandthepresenceofundergrounddrainagesystemsaffectthewaterretentionandrechargeprocessesintheseareas,makingitchallengingtodeterminethewaterresourcecarryingcapacityaccurately. Toovercomethesechallenges,weproposeusingvectoranglecosinetoevaluatethewaterresourcecarryingcapacityofkarstareas.Thevectoranglecosineisamathematicalformulathatdeterminestheanglebetweentwovectors,representingthedirectionandmagnitudeofthevectors.Inwaterresourcemanagement,thevectorscanrepresentthewateravailabilityandwaterdemandofanarea.Bycalculatingtheanglebetweenthesetwovectors,wecandeterminethewaterresourcecarryingcapacityofthearea. Toapplythismethod,wefirstidentifythehydrologicalcharacteristicsofthekarstarea,includingtherechargerate,dischargerate,andwaterstoragecapacity.Wethencollectdataonthewaterdemandofthearea,includingthewaterconsumptionrate,industrialwateruse,andagriculturalirrigation.Usingthisinformation,wecandeterminethevectorsrepresentingthewateravailabilityandwaterdemandoftheareaandcalculatethevectoranglecosine. Theresultofthiscalculationprovidesuswithameasureofthewaterresourcecarryi