地下水文学计算题.docx

地下水文学计算题.docx

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1、1.Aconfinedaquiferis18.5mthick.Thepotentiometricsurfaceelevationsattwoobservationwells822mapartare25.96and24.62m.Ifthehorizontalhydraulicconductivityoftheaquiferis25m/d,determinetheflowrateperunitwidthoftheaquifer,specificdischarge,andaveragelinearvelocityofthefl

2、owassumingsteadyunidirectionalflow.2.Aunconfinedaquiferinastratumofcleansandandgravelhasahydraulicconductivityof0.01cm/sec.Fromtwoobservationwells200mapart,theobservedwatertableelevationsare11and7mmeasuredfromthebottomofthestratum.Determinethedischargeperunitwidt

3、hoftheaquifer.3.Aunconfinedaquiferofcleansandandgravelislocatedbetweentwofullypenetratingrivers,andhasahydraulicconductivityofk=0.01cm/sec.Theaquiferissubjecttoauniformrechargeof1.6m/year.ThewatersurfaceelevationsinriversAandBare8.5mand10m,respectively,abovethebo

4、ttom.Estimate(a)themaximumelevationofthewatertableandthelocationofgroundwaterdivide,(b)thetraveltimesfromgroundwaterdividetobothrivers(ne=0.35),and(c)thedailydischargeperkilometerfromtheaquiferintobothrivers.4.Twoobservationwellshavebeenconstructedintheunconfined

5、aquifershownbelowandthepiezometricheadsinthewellsare13mand10.5mrespectively.Iftheflowrateqis0.02m3/hr/unitwidth,determineK2?5.Followingfiguredemonstratesastratifiedmaterialinanalluvium.Hydraulicconductivityandspecificyieldfortheupperlayerare5.5m/dand0.1,respectiv

6、ely.ThicknessofthelowerlayerMis33m,withahydraulicconductivityof10.8m/d.Riverstagesinthebothsidesoftheaquiferkeepsteady,andtheyare97.5mand89mforriversAandB,respectively.Thedistancebetweenthebothriversis1.2km.Theriverlengthis7km.Iftheprecipitationrechargeandgroundw

7、aterevaporationlossareignored,wewouldliketoknow:(1)Thetotalwaterflowingfromtheleftrivertotherightriverin30days.(2)Waterstorageamountintheupperaquifer.(3)Fromatimet0,riverstagesvaryinmathematicalfunctionsgA(t),gB(t)forriversAandB,respectively.ExpresstheGoverningeq

8、uation,BoundaryConditions,andInitialConditionsofthemathematicalmodel.6.Awellthatpumpsataconstantrateof0.5m3/sfullypenetratesaconfinedaquiferof34mthickness.Afte

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