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An Analytic Solution to Well-water Level Changes under Barometric Pressure.pdf

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An Analytic Solution to Well-water Level Changes under Barometric Pressure.pdf

EarthquakeResearch in China Volume25，Number2，2011 AnAnalyticSolutiontoW ell—-water Level Changes under Barometric Pressure Liu Chunping” DengLiang ，LiaoXin ，WanFei” and ShiYun ，， 1)InstituteofDisasterPrevention，Sanhe，Hebei065201，China 2)CollegeofResourceandEnvironment，HunanNormalUniversity，Changsha410081，China Underbarom etricpressure．groundwaterflOW inwel1．aquifersystem sisakind ofhydro． mechanicalcouplingproblem ．Applyingthefluxboundaryconditionsonboreholewalland water pressure equilibrium conditions inside and outside the borehole wall under barometricpressure (BP)．an analyticsolution towel1．water levelchangeshasbeen proposedin thispaper．TheformulationshowsthattheBP coeffi cientsincreasewith time andtend to BP constant．The ChangeofBP coeffi cientsovertimedependsonly on the ratiooftransmissivity(T)tothewellradiussquared(r2，)，andhasnothingtodowiththe changeinBP．TheBP constantonlyrelatestoaquiferloadingefficiency (B)．andhas nothingtodowith theaquifertransm issivity and wellradius．TheBP coefficientschange overtime intheanalyticformulation isconsistentwiththeanalysisofmeasureddatafrom theNanxiwells．Based on the BP coefficientchangesovertim e，a param eterestimation m ethod issuggested and discussed in itsapplication to the estimation ofthe aquiferBP constantfor曰 and transmissivitybyusingtheNanxiwelldata． Key words： W ell-water level； Barometric pressure； Analytic solution； Param eter estim ation；Barom etricpressure coeffi cient INTRODUCTIoN Changein groundwater levelovertimehaslongbeen a concern． Forexample，Jaccob (1940)putforwardthebarometricefficiencyformulaofwell—waterlevel，andusingbarometric efficiency，Bredehoefl (1967)calculatedtheextentofporosityofaquifers．Changesinwell—water levels reflectboth variation of stresseson well—aquifer systems and characteristic differences betweenrockmechanicsandhydrodynamicsinaquifers．Therefore，characterizationofwe