Jos_von_Asmuth_Thesis.pdf - repository

`Ü~éíÉê=O=BlockpulsesGroundwatersystemResponsImpulse functie -responseGroundwaterlevelQS==figure 2.14: Transformation of input to output in case of an exponential impulse response and threeblock pulses of different height and duration.=qÜÉ=ÜáÖÜÉê=íÜÉ=çÄëÉêî~íáçå=ÑêÉèìÉåÅóI=íÜÉ=ëã~ääÉê=íÜÉ=íáãÉ=ëíÉé=~åÇ=íÜÉ=ÄÉííÉê=EOKPTF=ïáää=~ééêçñáã~íÉ= p( t)K=cçê=ëíêÉëëÉë=íÜ~í=~êÉ=äÉîÉäëI=ïÉ=ëáãéäó=~ëëìãÉ=íÜ~í=íÜÉ=äÉîÉä=áë=Åçåëí~åí=çîÉê=íÜÉ=íáãÉ=ëíÉéK=kçíÉ=íÜ~í=íÜÉ=Éêêçê=ã~ÇÉ=Äó=íÜÉëÉ=~ëëìãéíáçåë=ïáää=î~êó=áå=íáãÉ=ïÜÉå=áåéìí=ëÉêáÉë=ïáíÜ=~å=áêêÉÖìä~ê=ÑêÉèìÉåÅó=~êÉ=ìëÉÇI=ïÜáÅÜ=ïáää=Å~ìëÉ=íÜÉ=ãçÇÉä=êÉëáÇì~äë=íç=Ü~îÉ=~=î~êóáåÖ=î~êá~åÅÉK==tÜÉå=íÜÉ=íáãÉ=ëíÉéë=~êÉ=åçí=íçç=ä~êÖÉ=~åÇ=áêêÉÖìä~êI=ÜçïÉîÉêI=íÜáë=ÉÑÑÉÅí=áë=ëã~ää=~ë=Åçãé~êÉÇ=íç=íÜÉ=çíÜÉê=ëçìêÅÉë=çÑ=ãçÇÉä=Éêêçê=~åÇ=ïáää=íÜÉêÉÑçêÉ=ÄÉ=åÉÖäÉÅíÉÇK===qÜÉ=íê~åëÑçêã~íáçå=ÇÉëÅêáÄÉÇ=~ÄçîÉ=êÉëìäíë=áå=Åçåíáåìçìë=áåéìí=ëÉêáÉë=íÜ~í=í~âÉ=íÜÉ=ëÜ~éÉ=çÑ=ÅçåëÉÅìíáîÉ=ëÉêáÉë=çÑ=ÄäçÅâëK=^ë=~=åÉñí=ëíÉéI=ïÉ=Å~å=Éî~äì~íÉ=íÜÉ=ÉÑÑÉÅí=çÑ=~=ëáåÖäÉ=ÄäçÅâ=éìäëÉ=ìëáåÖ=íÜÉ=ÄäçÅâ=êÉëéçåëÉ=ÑìåÅíáçå= Θ( t)K=qÜÉ=ÄäçÅâ=êÉëéçåëÉ=áë=çÄí~áåÉÇ=ïÜÉå=íÜÉ=áãéìäëÉ=êÉëéçåëÉ=áë=ÅçåîçäìíÉÇ=ïáíÜ=~=ÄäçÅâ=éìäëÉ=çÑ=ìåáí=ÜÉáÖÜí=çîÉê=~=éÉêáçÇ ∆tI=ïÜáÅÜ=Éèì~äëW==tΘ ( t, ∆ t) = ∫ θ ( τ )dτ(2.38)t−∆t=qÜÉ=ÄäçÅâ=êÉëéçåëÉ=ÑìåÅíáçå=áë=Éèìáî~äÉåí=íç=~=ÇáëÅêÉíÉJíáãÉ=íê~åëÑÉê=ÑìåÅíáçå=ïÜÉå=áí=áë=ÇáîáÇÉÇ=Äó= ∆táå=çêÇÉê=íç=ëÅ~äÉ=áí=íç=íÜÉ=ÉÑÑÉÅí=çÑ=~=ÇáëÅêÉíÉ=áåëí~åí~åÉçìë=áåéìí=çÑ=ìåáí=ÜÉáÖÜíK=få=Å~ëÉ=çÑ=~å=áêêÉÖìä~ê=ÑêÉèìÉåÅóI=ÜçïÉîÉêI=íÜÉ=ÄäçÅâ=êÉëéçåëÉ=áëåÛí=Åçåëí~åí=Äìí=~=ÑìåÅíáçå=çÑ=íÜÉ=íáãÉ=ëíÉé ∆tiK=_ÉÅ~ìëÉ=Åçåîçäìíáçå=áë=~=äáåÉ~ê=çéÉê~íáçåI=áíë=êÉëìäí=çê=ÖêçìåÇï~íÉê=äÉîÉä= h( t)ã~ó=ÄÉ=çÄí~áåÉÇ=Äó=~ÇÇáåÖ=íÜÉ=êÉëéçåëÉë=íç=~ää=áåÇáîáÇì~ä=ÄäçÅâë=çÑ=íÜÉ=áåéìí=ëÉêáÉëK=qÜÉ=íê~åëÑçêã~íáçå=çÑ=áåéìí=íç=çìíéìí=áë=áääìëíê~íÉÇ=áå=Å~ëÉ=çÑ=~å=ÉñéçåÉåíá~ä=áãéìäëÉ=êÉëéçåëÉ=~åÇ=íÜêÉÉ=ÄäçÅâ=éìäëÉë=çÑ=ÇáÑÑÉêÉåí=ÜÉáÖÜí=~åÇ=Çìê~íáçå=áå=ÑáÖìêÉ=OKNQK=_ÉÅ~ìëÉ= Θ ( t)=~åÇ= p( t ) ~êÉ=Åçåíáåìçìë=ÑìåÅíáçåëI=íÜáë=éêçÅÉÇìêÉ=êÉëìäíë=áå=~=ÇÉÑáåáíáçå=çÑ= h( t ) =íÜ~í=áë=Åçåíáåìçìë=~äëçK=få=Åçåíê~ëí=íç=íÜÉ=Éèì~íáçåë=çÑ=^oj^=ãçÇÉäëI=åç=ÉñéäáÅáí=êÉÑÉêÉåÅÉ=áë=ã~ÇÉ=íç=~=ãçÇÉä=..…………………………………………………………………………………………….….