HanSQura Eng1neering Journal VOl . 21, No.4,December 1996 REGRESSJON APPROACH TO CALCULATE THE EFFECTIVE MUD ANNULAR VISCOSITY DURING DRlLLlNG OIL WELLS .;hJI JjY;JI J4i oi> ,C;;\ ""'" tl.,ill d Dc Mohnroed Sheh:ll:l Farah:lt Suez Canal Univ ersity, faculty of Pe tr ole um and Mining Eng inee ring.S uez. Egypt H.74 : .i.-,)G...lI J i .!..!.!C J .;F- ,j4-- b ..,.J "-i:.;1J\ i' ..li.l J . JJR J l.,ti ....;-b. .lti P JA.J '<":".., j1!I ..... J . (A pproach) 04-->..r .. J JjL.... J Yield POlnt J Plast ic Viscosity J J L.J (H '->-=-! t l yJ1) t l.;ill J y.:Jl ,J:.L.J ..... ,.•.•. ;p .b..... J::." . t l,;ill v-i JjU o;.: ...lI 4..::.. Jjl.II ..,.h u::...J\ J ......... ::....i.Jl..Jl \..o...i J"':":"\:' 'J) ( .... J, . ..)yJI) f> J L(3St Squares ...r.iJ\ ,/ 1 ...-i .!il J .;.r'W)'1 J.;.!.:..:JI t1 .s.:..... 1 ;.h...J J-! ':': ..;.--i.:>- J (Bil Runs) • I T \ ('il ..;.n ...:..:l..J J...J\ ,.,!: .,.\ "-l:L.... vI J ,jt.."..J :o...,..,u......u data base J ..?-' ui J"r,. .o..&.l....:.. '-h.......l-,", ?l,':)·' L....:.:.:I Ii.,.,. j:LJ .. ..;.: .... J 4 J)ll J ..:......:.;;.;...i w yi J .. (Parnmenic) ;.S .... -41I j: LJ o ';'.:,.J J ..... JJ\ .0...".;.:.;1 = J w.; J . .ftoJI .j.:L.J Yie ld Point.: Plastic Viscosity 4.; J J ·H J P (, <7. tl .;n A u-i .» t l'p u.3 J'U .b..... J .::.. hj; t 1y.!1 .... .-! y..... JlJ:L,J l....,;.:U}i ... ...illiS .J.: );i.., ,.1.s..: .... J f'.!iI L..-) .... ...... i.; J...j 141 .J · Bingham plastic model l,..i,b.J. Bingham pl astic model, Power-law model , and Pol ynomi al mode! J.... Regression model jJ ..,..L...:.... I ) j-,:ill ;.1JJ'" t;!l j oJ..+'c.\ b ..roy.) J!..l..,..J ,J..i li.e-l J:.l..,...JII.J.:. ,j.J ..... JJ J .JJji.Jl j'-!i j.::. .:..\t.I.;llI") yUJI JJW .J.J.J,..l1 .Jl;i .;h "ji .... ; b u-i -'.jL-l\ AB S TRACT (n this paper, a non-linear multidimensional. dimensionless mathematical drilling mild viscos ity approach fo r oil well drilling applica ti ons, consisting o( one equal ion, was developed. Ac cepted 25, 1996