KU ScholarWorks | The University of Kansas Theses and Dissertations CollectionA Dynamic Investigation of Sucker-Rod PumpingProfessor in ChargeFloyd W. Prestonby Roy M. KnappB.S., University of Kansas, 1963This work was digitized by the Scholarly Communications program staff in the KU Libraries Center for Digital Scholarship.http://kuscholarworks.ku.eduSubmittedtotheDepartmentofChemicaland Petroleum Engineering of the University of Kansas inpartialfulfllmentoftherequirementsforthe Degree of Master of Science.ADYNAMI CI NVESTI GATI ON OF SUCKER- RODFUMPLNG by RoyM. Khapp B. S. ,Uni ver si t yofKansas,1963 Submi t t edt ot heDepart mentof Chemi cal andPet rol eumEngi neeri ngandt he Facul t y of t he Gr aduat eSchool oft he Uni ver si t yof Kansasi n par t i al f ul f i l l ment oft he r equi r ement sf or t he degr ee ofMast er of Sci ence.For t hedepar t mentRDD1Q7HHfiME TAI UJ :OFCONTENTS Papc Tabi cof Cont ent si iLi st oFi gur esi i iI . I nt r oduct i on1 Backgr ound"iTheSucker - RodPumpi ngSyst em 2 I I . For mul at i onof Anal yt i cl i quati ons4 l i quati onof Mot i on4 Boundar yCondi t i ons6 Ti meCondi t i ons6 Sur f aceCondi t i on7 PumpCondi t i on9 I I I . TheDer i vat i onof Fi ni t eDi f f erenceAnal ogi es15 t ot heAnal yt i cEquat i ons Repr esent at i onof t heEquat i onofMot i on3 5 Boundar yCondi t i onAnal ogs10 I V. Resul t sandConcl usi ons23 Appendi xA- St at i cEf f ect sandLoadCal cul at i ons28 Appendi xB- Pr ogr amDescr i pt i ons30 Appendi xC- FORTRANLi st i ngof Si mul at or Pr ogr am 33 Appendi xD- FORTRANLi st i ngofAnal yzer Pr ogr am 37 Appendi x1:- Tabl eof Nomencl at ur e3i.JRef er ences42 i iLI STOFFI GURES Fi gur ePage 1Schemat i c- di agr amof Sucker - RodPumpi ngSyst em 2 2Geomet r yof Sur f acePumpi ngUni t 7 3Pumpwi t hPl unger at Lowest Posi t i on10 4Pumpwi t hPl unger Begi nni ngUpst rokel w 5Pumpwi t hPl unger onUpst r oke10 6Pumpwi t hPl unger Begi nni ngDownst roke11 7Pumpwi t hPl unger Compl et i ngDownst r oke11 8I deal PumpCar d14 9Comput at i onal Mol ecul ef or Di f f erenceAnal og18 10Synt het i cPol i shedRodCar df or 1005Ef f i ci ent Pump24 11PumpCar dPr edi ct edf romSurf aceCar d25 i i iCI APTP. U II MTvOI UCri OMBackgr ound I nt hepast ,f i el dst udi esof sucker- rodpumpi ngsyst cnshave yi el dedonl yl i mi t edper f or mancei nf or mat i on. I t i spossi bl et o r eadi l ymeasur edi spl acement sandf orceat thesur f ace. However ,di r ect l yobt ai ni ngdi spl acement andf orcedat a bel owt hesur f acei s adi f f i cul t andexpensi vet ask. Si ncesucker- rodspumnappr oxi mat el v ni net yper cent of al lwel l susi ngart i f i ci al l i f t ,i t i si mpor t anttc under st andt hebehavi or of suchasvst em. Sucker RodPunmi npRcsoar ci ,Ii h . 1hasut i l i sedi i nuvhai iir:iIsi tni i l ntor riiul;iii:i1cm> ohi i ui