EQUATIONS FOR ALLUVIAL SOIL STORAGE COEFFICIENTS
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1 vomtl gg d gmt Joul Novmb/Dcmb 8, Vol.7, No.6, Ghogh Ach Tchcl Uvty of I, Rom QUATION FOR ALLUVIAL OIL TORAG COFFICINT mld Chocu, Ştf Popcu, Dl Tom Agoomc Uvty of I, Pdologcl Dpt, hl dovu tt, 3, I, Rom, Tchcl Uvty of I, Hydomloto d vomt Dpt, Dmt go Blvd, 3-6, I, Rom Abtct Th pp df th vg d locl ol tog coffct, fo ol th ltvly hllo t tbl. By m of dqut l fo th ucto dtbuto o ol lvl d ct pmtcl modl fo th motu tto cuv of ol, th lytcl quto fo th tog coffct dtmd. Thotcl ult to b ppld fo c tudy d o th b of ptt ly, d om commdto md fo th pctcl u of fomul popod fo th tog coffct. Kyod: lytcl quto, mthmtcl modl, ol, tog coffct. Itoducto Th ol tog coffct mly ud th th mthmtcl modlg of th dg of ol pofl. I txt-book (Kbt, 998 th dfd uqu tog coffct, µ, by m of th to bt th chg ol motu tog of th pofl,, [L], d th copodg chg t tbl dpth,, [L]. Ayy, ft mo thoough ly t c b tht th gfcc d/o th vlu of coffct µ dpdg o th xt fcto: th ogl t tbl dpth compd to th ld, ; b th of dpth chg (> dc; < c; c th tu of chg tu (ft o ftml. I th poc of g th µ coffct th xt mplfyg umpto ccptd: th hol ol pofl loctd th cplly fg ; hydodymc blc (cott hydodymc lod upo th hol ol pofl th, both codto: tl codto (t tbl t dpth, d, ll, th fl codto (t tbl tblzd t dpth +. Fo t tbl ft dct, h b dfd th ol tog coffct, µ, vg o dpth, +, by m of xt quto: µ th dc of ol t v o dom, + th dc of t tbl' lvl.( Fo ftml dc of t tbl, c b dfd th locl ol tog coffct copodg to dpth, µ µ th xt lmt (q. : µ lm, by m of ( Bt th to tog coffct, µ d µ, th xt tgl quto c b dfd (q. 3: + µ µ ς ς d (3 I th pp th utho popod pocdu to dtm th lytcl quto (o b of dtbuto l fo pzomtc hght (ucto d Autho to hom ll copodc hould b ddd: Pho: ; Fx: +43/37898, -ml: popcutf@yhoo.com
2 Chocu t l. /vomtl gg d gmt Joul 7 (8, 6, pmtc modl fo th cottutv quto ucto-humdty fo dct d hghly ccut mt of tog coffct, µ d µ.. Th mthmtcl modl Cutly, th cottutv quto of uctohumdty fo ol hozo, codd to b poou, homogou d ututd mdum, h th fom (4: ( ψ o ( ψ (4 h: th tuto dg (tuto; ψ th pzomtc hght (fo ψ, ψ pt th vcuum-mtcl hght o th ucto, [L]. I uul pmtcl modl, th cottutv quto (4 c b xpd th th oto of ffctv tuto dg,, dfd follo (Dch, (q. 5:, (5 h: th dg of mxml tuto ( ; - th dg of dul tuto; - th volumtc humdty (, h th vod fcto; th mxml humdty ( d - th dul humdty. Th y of hch th ffctv tuto dg dpd o t pzomtc hght th ol po, ψ, gv by m of mpcl quto, dpdg o th typ of pmtcl. Fo xmpl: fo th v Gucht-ulm modl, ( ψ + ( A ψ ψ, foψ ψ <, fo ψ ψ h m d, xpot d A, L (6, th modl coffct, d ψ, [L] th pzomtc hght of th ol; b fo th xpotl modl (popod by utho, ( ψ αψ ( ψ, fo ψ < ψ, (6b, fo ψ ψ h α, [L - ], th optv umb, d, [-], th modl coffct ( th clc xpotl modl,. If th humdty, ll b tk fom q. (5, th xt xpo fo th cottutv ll ult (q. 7: ( ψ, fo + ψ ψ < ψ, foψ ψ (7 h t tbl t dpth ud ol lvl, th pzomtc hght dtbuto, codto of hydodymc blc (umpto º, gv by th l (8: ψ + ψ (8 thfo q. (9 ll ult. ψ ψ ψ ψ [ ], fo,, fo, fo,, fo (9 If q. ((6 d (9 codd q. (7, th humdty dtbuto l upo ol pofl ll ult (q. : fo th v Gucht-ulm modl (q. : +,fo, m, fo ( ( + A ( b fo th xpotl modl (q. b: ( [ ] + α(, fo,, fo. (b Th t v tod upo ol pofl bt dpth d, th <, c b d th q. (: d. ( 8
3 quto fo lluvl ol tog coffct I th tl tuto (h t tbl t dpth, th humdty dtbuto upo ol pofl o dpth, + gv by q. (. Hc, th tod t v, gv by q. (, xpd by q.(: fo th v Gucht-ulm modl (q. ( A d ( b fo th xpotl modl (q. b + + d + + ( α dpth. α α (b I th fl tuto (h t tbl t +, t ult fom q. (8: ψ ψ +, fo, + (3 Thfo, humdty dtbuto upo ol pofl, o th dpth, + xpd by q. (4: fo th v Gucht-ulm modl (q. 4: + + +, fo, + m ( A ( b fo th xpotl modl (q. 4b: (4 α +, fo, + (4b Thfo, th fl tuto, fom q. ( t ult th follog tod t v o th dpth, + (q. 5: fo th v Gucht-ulm modl (q. 5: ( ( + ( ( F A + d b fo th xpotl modl (q. 5b: (5 F ( ( α α (5b Tkg to ccout q. ( d (5, th bc quto ( fo th vg tog coffct bcom (6: µ F (6 I c of th v Gucht-ulm modl, glly, th tgl th th d 5th quto c b dtmd oly by m of umcl mthod; thu th vg tog coffct µ ll b dtmd too by m of umcl mthod. Hov, th c of th F xpotl modl, h ug fo d d th lytcl quto (-b d (5-b, th follog quto fo th µ coffct ult (q. 7:. (7 µ α α ( α I ml y, th bc quto ( fo th locl tog coffct µ, bcom (8: F lm µ. (8 If quto ( d (5 copotd th quto (8, d f th ul fo dfftl d tgl clculto ppld, lgbc quto fo µ coffct ll ult (q. 9: fo th v Gucht-ulm modl (q. 9: { } ( A µ + b fo th xpotl modl (q.9b: ( α µ (9. (9b q. (9-b c lo b obtd dctly, pplyg th L Hoptl ul to th lmt gv blo (q. 9c: α α ( lm µ α (9c 8
4 Chocu t l. /vomtl gg d gmt Joul 7 (8, 6, I c of th Gucht-ulm modl, glly, fo th m d xpot, fom th 6th l, t c b tht: m d ( m +, h th tg t. Thfo th boml tgl th q., 5 d 3 do ot tfy th pc lytcl tgto codto dductd by Tchbyhv; hc, ll th tgl to b olvd umclly. I th ptcul c h th tpz fomul d, pctvly, th ctgl fomul ppld, foml ppoxmt lytcl quto ll ult fom q. (3 fo th tog coffct µ (q. d b: ( ( µ µ µ + ( + A + A ( + d µ µ + ( A + + ( 3. Th umcl pplcto (b I od to tt th popod mthmtcl modl th xt bc dt codd: Th tu of ol hozo: cly, ftug th xt phycl d hydcl pmt: pooty, (o vod fcto,.57; volumtc humdty, [xpd m 3 t / m 3 old ph], dul,.85; mxml volumtc humdty,.57; pzomtc hght, ψ. Th cottutv quto (4: gv (Tbl colum d 3 by th xt p of vlu: ( ψ, ( ψ,, th,,, N dt. ( At th tl momt th t tbl lvl t th dpth 5 cm, d t fl momt th lvl dcd th mout 7 cm. Th xt clculto tg hv b cd: By m of popty oft, fuct_gucht.m, ug th put dt (, th A coffct c b computd d th po xpot, m fo l (6 ult: A ( m By m of popty oft, fuct_xpot.m, th put dt (, h coffct d th α xpot fo l (6b c b computd: , α (3 Icopotg q. (6 th vlu of A, d m computd by ( d th vlu fom ( fo ψ quto (7, th vlu fo humdty ult ppoxmtd th Gucht-ulm modl (Tbl colum 4:, th,,, N dt. (4 Icopotg q. (6b th vlu of d α gv by (3 d th vlu fom ( fo ψ q. (7, th vlu of humdty obtd, ppoxmtd th th xpotl modl (Tbl colum 5 (q. 5:, th,,, N dt. (5 Th ltv o copodg to th ppoxmto th th to modl - Gucht- ulm,, d xpotl, - vlutd, pctvly, th quto (6:,,,,N dt, [%] d (6, th,,,n dt, [%] ctlzd Tbl - colum 6 d 7. Aft mt of dt th Tbl - colum 6 d 7, t c b tht th mxml ltv o, th modul (bolut vlu, toducd by th Gucht-ulm modl, much fo to th o copodg to th xpotl modl, 9.9 <<.53. Fo th o th ult obtd th th Gucht-ulm modl h b codd fc ult. Alo th dpth computd (q. 7: 5 cm, + cm, md ( + 85 cm. (7 8
5 quto fo lluvl ol tog coffct Tbl. mtl d thotcl vlu (th Gucht-ulm d xpotl modl fo th ucto-humdty cuv ψ,[cm] , [-] , [-] , [-] [%],[%] N. Ct Pmt F Tbl. Vlu fo th vg d locl tog coffct Th Gutcht-ulm modl Th xpotl modl qu- Vlu o qu- Vlu o to [%] to [%] ( (b ( (5b µ (6, ( (6, ( µ ( ( (9b µ ( + ( (9b ( (9b µ + 7 µ ( µ (b By lyzg dt fom Tbl, th xt u could b hghlghtd: º Th mt of th vg tog coffct µ th q. (7 ld to ltv o, modul, fo to.5%; º Th mt of th locl tog coffct µ, th quto 9-b, xtm poto of t tbl ( d +, ld to occptbl ltv o; 3º Th mt of th µ tog coffct th th ppoxmt q. ( my ld to ltv o, modul, xcdg %. 4. Ogl cotbuto d cocluo O b of obtd ult th xt cotbuto d cocluo c b hghlghtd:. A goou dfto of th vg d locl tog coffct.. Fo th ucto-humdty ol cottutv quto h b ptd d mplmtd ogl hcd xpotl modl. 3. Th utho commdg th mt of th vg tog coffct µ by m of q. (7 dductd o b of hcd xpotl modl of ucto-humdty cottutv quto. 4. Th utho commdg th mt of th locl tog coffct µ by m of th q. (9 dductd o b of th Gucht - ulm modl of ucto-humdty cottutv quto. Rfc Dch H.-J.G., (, Rfc ul FFLO (Ft lmt ubufc Flo & Tpot multo ytm. I: AY Ittut, Bl, Gmy. Kbt I. P., (998, Phyc of ol otu. I: 7 th Ittol cou of ld. Dg. gg, Th Nthld. 83
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