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OCT-29-96 TUE 12:37 PM SHEPHERD MILLER FAX N0. 970 223 7171 <br />' 331 • D. w, Hbw and J. L Jambor • <br />into the ptarticks ro a nwviog rcaation front were <br />developed try Dww and ltrraaa (1986, 198'/) and <br />Dwvo a1. (1986). The siavplat d tha modals as <br />apptoalma4 atsatytial sttladon (Dwvts and Rrtatu. <br />1986). Thn tnedd assumes that all sulAde partido <br />~a'itltia the waste ate equfll)r teoetlve reprdtms of <br />ttlcterakp. arc spherical, d oee sme, and riot a <br />single di$usioa me»ttleac an be tmi~ted m the <br />todre ~ickeeta of uatacmated tatliags. Given these <br />nstmpdom, the problem tedaco ro a accts dean7y <br />solved egtacan. All of the pttrameten requited to <br />solve shoe equadom oft be nseasced hero 6dd <br />smpks. <br />The egtaoom that form the basis for this apprari- <br />mate analycml solncoa (Dww a~ I{st~. 1946) <br />eau be rsitlen as <br />rr(s1)'I-z(1 ~~ OsrsX(r) (4) <br />a(zt) _ (l f (s~ ~) X(r) s s s l (~ <br />rherc: <br />S:.6yDt(1-P)Ltl(at~ (6) <br />r = dimemiodess titttc (r/r_J - - <br />4 = d'imemlanless time ro react a pardde u <br />the tatTmgs sorlare <br />u = dtaxmionkss @ygm oonaenLntion <br />s - dmmtLdookss depth (z•/L) - <br />x' =depth (m) <br />X(r) = t6mcmiedess tkpth d plater mo.mg <br />bout _ _ <br />X'(Q ~ position d planar ttmvittg pons riddn <br />the dump (m) , _. <br />and X(t) na be twad thtongb svitttioa d the tnm- <br />cendcntal tonmon <br /> <br />The parattteten required ro solve these egoatiom <br />ale: <br />Dt = tlltALtioa coe&dam rithm the pore <br />grsce d the dtwp (m= s t) <br />D7 = dt$taioo mcf6tieot .rida~m the particles <br />(me s-t) <br />p = porosity d the ndm' g <br />tb = meal oa7grn mtrcentration ai the taiF - <br />ietR surface (1<R m-s) <br />t =meal thictmns d rho tallt'ags <br />r e particle d-umeter <br />r = mass oCOaygal used per mass datltJltr <br />m the oxidation teaetien <br />0. = demiry of sul[>Q m the nsiags (kg m-s) <br />y = ptoportiooalrty mtLmnt eommpaautg <br />O! these panmetgs, D=. ae. L, a. r. 0., aed y eaa <br />be aswmed onsrmt for the wain Attwlm tailio8a. <br />Tba adened meatant value roe each o[ these pam- <br />nrtsn k pttnentad k Tabk 1. Ot the tetnaimag <br />f/~e~. P ran aladated direedy ham field <br />meamtenteae and DI vu esdaured 6om field <br />tneutvemeatt asitq the ttrodlhotioa m the esd- <br />ttutbm teethed propwed Dy Mti.LO~tittaet and <br />Sttr,~ (1971) rLOOmmerded by Mwct+ussort and <br />Rwstsrtnon (198s), and ufiaa the eatimaben tech- <br />ttpueproposed by itrtaaot+ sad MootstJl (1985). <br />For throe eta (WAIL. wA17 sad WA33) the <br />paomeren Dt am1 p ran e.in.l+~•+ hero &Id <br />measwemeats s.eraged ovtt the upptt b an d the <br />~, the Ikpth arrwdy a$eaed by sulfide osi- <br />datiea The btld den and the akaktM patarneters <br />are prarnted m Tabk 3. <br />b(nwred sad o(talated gat-phtse 0. pto6ka arc <br />prnwoed m Fig. 6. The latter tepreseat 'bar fit" <br />praise abhiaed b7 varying DI while tnaintaiomg a0 <br />athtr patametrs masnttt. The Dt value aced to <br />abtaia this bee tit (Tabk 3) ate within ooe order of <br />mat~de d the olatated Ot value. <br />The oxygen d$utiviry (Dt) a maagly dependent <br />on the xtoponfly vatiabk rttoisntre merest of the <br />tal7mgs The «wismre mnteut std pttooxtttration <br />meimrementt [ep[eamt single mr~an~...•ms etude <br />io late Nov®ba, ahtt the autumn nits, rlteo the <br />tttaisnae mmmt d the upper tailings was high. <br />Considering the ••^'^*•t^ties is the plruoatt au- <br />matioas and the depth avttagiag of the patametas, <br />the agceemmt between the orygen di$mion coef- <br />fieiear, Dt, nkolated using the method of MILL- <br />wattnt sad Slawau (1971). the method d ltawtmow <br />Table L Comtaa paramree+s used io the model of Dww <br />and tttmm (1980) <br />Puameter Value Sours <br />Dr 26x10-~a mti t 2 <br />ua o.~asajoi t 1 <br />L Iom Z <br />• O.000Z m 2 <br />r <br />A 1.7.6 <br />I.Ox IOt ka m's 1 <br />3 <br />y 0.07 I <br />1. From Dww and Rrttsa[ (19a6J, <br />2. Fa...doo. <br />i araamed <br />Table 7. variable paramaers med in lbe mold of Dww <br />and Rrraue (1986) <br />1'faaotneter test ww-l l ww-17 ww-a <br />' ' 't <br />DI (m=s ) 1.7x10- !.9 : 10- 80 x 10 <br />(ItGaDOM and MeoaLr) <br />Ot Imri ') 6.0 x 10'a 1! x 10-r !~ x l0-r <br />(MttlaNTnM fed SHW[a) <br />Di (mr'-~) 3.0 x l~r <br />(asad <br />0 <br />d) a2 x !O-' 7.0 x 10-~ <br />e <br />e <br />y (a) Il0-370 E6a6W 1a0~60 <br />P. 23 <br />I <br />'sod <br />aml. <br />dote <br />A <br />rakc <br />does <br />~ p~ <br />may <br />Maio <br />(Dt) <br />mve <br />Fat <br />lC+~t <br />Th <br />m! <br />plan: <br />Thee <br />WAi <br />~~ <br />sport <br />alter. <br />w.a <br />freer <br />mod. <br />robe <br />durir <br />u w <br />(Iw• <br />t ntttn <br />nor <br />low. <br />i ~' <br />abet <br />mar <br />. ad <br />i tea <br />o>ia <br />are <br />Nor <br />tea, <br />Fi <br />the . <br />coot <br />eati~ <br />thrc <br />