Jos_von_Asmuth_Thesis.pdf - repository

`Ü~éíÉê=O=2.3.5 Responses of elementary groundwater systemsRM=2.3.5.1 Recharge on a system with a uniform internal head^=ÅçåëÉèìÉåÅÉ=çÑ=íÜÉ=ä~ï=çÑ=ã~ëë=ÅçåëÉêî~íáçå=áë=íÜ~í=íÜÉ=~ãçìåí=çÑ=ï~íÉê=áå=~=îçäìãÉ=ãìëí=áåÅêÉ~ëÉ=ïÜÉå=íÜÉ=áåÑäçï=~í=~=ÅÉêí~áå=íáãÉ=ëíÉé=ÉñÅÉÉÇë=íÜÉ=çìíÑäçïK=tÜÉå=ïÉ=ëáãéäáÑó=íÜÉ=ÑìåÅíáçåáåÖ=çÑ=~=ëçáä=Åçäìãå=íç=~=ëáãéäÉ=äáåÉ~ê=êÉëÉêîçáê=ïáíÜ=áåÑäçï=~í=íÜÉ=íçé=~åÇ=çìíÑäçï=~í=íÜÉ=ÄçííçãI=~å~äçÖçìë=íç=xhåçííÉêë=~åÇ=_áÉêâÉåëI=OMMMzI=íÜÉ=ï~íÉê=Ä~ä~åÅÉ=áë=ÖáîÉå=Äó=EÑáÖìêÉ=OKNUFW==r d h− q = S (2.43)d t=ïÜÉêÉ=q = W=ÇáëÅÜ~êÖÉ=éÉê=ìåáí=~êÉ~=~åÇ=íáãÉ=== = xiq JN z==h = W=ÖêçìåÇï~íÉê=ÜÉ~Ç=~í=äçÅ~íáçå= z =xiz=S = W=ëíçê~íáîáíó=xJz=r = W=êÉÅÜ~êÖÉ=éÉê=ìåáí=~êÉ~=~åÇ=íáãÉ=xiq JN z==tÜÉå=ÅçåëáÇÉêáåÖ=ëìêÑ~ÅÉ=ï~íÉêI=íÜÉ=ëíçê~íáîáíó= S =Éèì~äë=N=~ë=çåÉ=ãáääáãÉíÉê=çÑ=éêÉÅáéáí~íáçå=Å~ìëÉë=~=êáëÉ=áå=ï~íÉê=äÉîÉä=çÑ=çåÉ=ãáääáãÉíÉêK=få=ÖêçìåÇï~íÉê=ëóëíÉãëI=ÜçïÉîÉêI= S =áë=ëã~ääÉê=ÄÉÅ~ìëÉ=çåäó=íÜÉ=ÑêÉÉ=éçêÉ=ëé~ÅÉ=áë=~î~áä~ÄäÉ=Ñçê=~ÇÇáíáçå~ä=ëíçê~ÖÉ=çÑ=ï~íÉê=Eáå=éÜêÉ~íáÅ=ëóëíÉãëFI=çê=ÄÉÅ~ìëÉ=íÜÉ=éçêÉ=ëé~ÅÉ=Å~å=çåäó=ÅÜ~åÖÉ=~=äáííäÉ=Äó=ÅçãéêÉëëáçå=çê=Éñé~åëáçå=çÑ=íÜÉ=Öê~áå=ëâÉäÉíçåI=ï~íÉêI==çê=áåÅäìÇÉÇ=Ö~ë=ÄìÄÄäÉë=Eáå=ÅçåÑáåÉÇ=~èìáÑÉêëFK=bèì~íáçå=EOKQPF=Åçåí~áåë=íïç=ÇáÑÑÉêÉåí=î~êá~ÄäÉëI=q ~åÇ= h I=íÜ~í=~êÉ=åçêã~ääó=ÄçíÜ=ìåâåçïåI=ïÜáäÉ=íÜÉ=íÜáêÇ=E r F=áë=åçêã~ääó=ÖáîÉåK=få=çêÇÉê=íç=ëçäîÉ=íÜÉ=Éèì~íáçåI=ïÉ=åÉÉÇ=~=ëÉÅçåÇI=áåÇÉéÉåÇÉåí=êÉä~íáçåëÜáé=ÄÉíïÉÉå= q ~åÇ= h I=ïÜáÅÜ=ïÉ=ÑáåÇ=Ñêçã=a~êÅóÛë=ä~ïW===h − dq = (2.44)c=ïÜÉêÉ= c =áë=íÜÉ=Çê~áå~ÖÉ=êÉëáëí~åÅÉ=xqz=~åÇ d íÜÉ=Çê~áå~ÖÉ=äÉîÉä=xizK=bäáãáå~íáçå=çÑ= q =Ñêçã=EOKQPF=óáÉäÇë=íÜÉ=ÑçääçïáåÖ=Ñáêëí=çêÇÉê=ÇáÑÑÉêÉåíá~ä=Éèì~íáçåW==drdhh( t+ d t)h( t)figure 2.18: Water balance of a linear reservoirsystem.cq..…………………………………………………………………………………………….….