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(1)‚“æ~>Æ·~ã²æ. ò‰. Vol. 8, No. 4, pp. 12~20, 2003. bãÚÚ FVJ"bî TCE~ b' ªš Î~¢ *‚ >~ΞBB. {> ÁJÒ¢ ÁVº‚ 1. 2. 3. šz¶&v ~ã" 7&v ÆÏ" ãö&v ÆÏ~ã" 1. 2. 3. Developing a Numerical Model for Simulating In-Situ Biodegradation of an Organic Contaminant, TCE, in Biobarrier. Á. Á. Sookyun Wang1 Jeil Oh2 Bumhan Bae3 1. Dept. of Environmental Science & Engineering, Ewha Womans University 2 Dept. of Civil Engineering, Chungang University 3 Dept. of Civil & Environmental Engineering, Kyungwon University. ABSTRACT This study presents a mathematical model for simulating the fate and transport of a reactive organic contaminant, TCE, degraded by cometabolism in dual-porosity soils during the installation of in situ biobarrier. To investigate the effect of dual-porosity on transport and biodegradation of organic hydrocarbons, a bimodal approach was incorporated into the model. Modified Monod kinetics and a microcolony concept were employed to represent the effects of biodegrading microbes on the transport and biodegradation of an organic contaminant. The effect of permeability reduction in biobarrier due to biomass accumulation on the flow field were examined in the simulation of a hypothetical field-scale in situ bioaugmentation. Simulation results indicate that the presence of the immobile region can decrease the bioavailability of biodegradable contaminants and that the placement of microbes and nutrients injection wells should be considered for an effective installation of biobarrier during in situ bioaugmentation scheme. Key words : bioaugmentation, biobarrier, dual-porosity soils, bioaccumulation, permeability reduction. º £ ^.  ’öBº ö*~ b' ¾Ò ";öB &Ò V·ö ~š ªš>º FVJ"bî~ Wç" –ÿj Î~~ V *‚ >' Ξj BV~& . Æ·’– ÚöB ¦ÿF~ šÒ& ¾Ò ";ö ~º 'Ëj J~V *~  š7 Bvj 'Ï~&b–, FVJ"bî~ –ÿ" b' ¾Òö ~º b~ 'Ëj >'b‚ ‚ *~V *~ >;B Monod " Æ·ç b~ ²–÷Î;š 'Ï>î . &ç~ ö*~ b' ¾Ò " ;ö &‚ Ξ~ 'Ïj Û~ Ú Ú»'b‚ ž‚ R>Ë~ 6²& æ~> vªö ~º '˚ .> î . &ç~ b' ¾Ò ";ö &‚ Ξ~ Î~Ö"º ¦ÿF~ šÒ& FVJ"bî~ b' &ÏWj &6ʖ, bãÚ~ ;W 5 ¾Ò";ö ®Ú ž¦‚¦V~ b 5 '·bî "«;~ *~& Î"'ž ¾Ò ê³~ >ãj *š 7º~ º ©j  "î . "BÚ : b' ¾Ò, bãÚ, š7Æ·, Ú»', R>Ë 6² *Corresponding author : [email protected] : 2003. 08. 05 : 2003. 11. 20 : 2004. 3. 30. ö7>¢ î~ 5 Æ~. ²Òߞ¢ ræ. 12.

(2) bãÚÚ FVJ"bî TCE~ b' ªš Î~¢ *‚ >~ΞBB 1.. B †. æ~ &>[ö ÖÒ~º ÆObf ž*' –·š ìº ¶çöBê &¦ª~ FVJ"bî j ªš† > ®º ©b‚ rJ^ ® . ¾ Æ· 5 æ~>~ J" ;ê& ¶ç~ ªš ËKj R ."~º ç öBº '·bî~ "«j Û~ J"æ Ú~ æ z'(biogeochemical) –šj b &Ò·Ïö '~ êƒ –.Žb‚Ž FVJ"b~ b' ªš·Ïj / ê† > ® . zך J"Æ· Úö ß;‚ J"bî~ ªš ËKj &ê bš ¦—† ãÖ, V·B b j '·bî" Žþ ž¦‚¦V "«~ J" Æ· 5 æ~>~ b' ö ËKj Ãê~Vê ‚ . šf ?f b' ¾Ò 5 ö~ WNº FVJ" bîö &‚ b~ b' šÏ&ËW(bioavailability) ö ~š "‚ 'Ëj A² >º–, b' šÏ&ËW ö &Ë – 'Ëj ~º V·š J"bî~ Æ·‡Oš. . ‚" ¢¦ ’öB Æ·ö ‡OB FVJ"bîê  bö ~š ªšF > ®rj ¾æÚº þÖ"&  > ®b¾ , ¢>'b‚ æ~~ã Ú~ bf æ~ >ö ϚB ç‚ šÒ~º FVJ"bîòj Vî‚ šÏ† > ®º ©b‚ Îæ ® . b' 7" Wö 'Ëj ~º 6 ~¾~ "º *çf žz(aging) š . Æ·’– ³öº ç&'b‚ ’V& – bö² º bÒ'b‚ 7"š ®&˂ ²š šÒ~º–, š ² nb‚ Ϛbîš {ÖÁF«Nb‚Ž š ‚ ² Ú~ FVbîf b~ 7" 5 šÏš VBB . V¢B b' šÏWf b' öj ê ³~–¾  Î"¢ ï&~º– ®ÚB Ö 7º‚ º² šæ‚, ß® æ~~ãöB FVJ"bî~ Wç" šÿ j Î~~V *‚ >' Ξ~ BBö ®ÚB > J>Ú¢ ‚ .  ’Vf Æ· ‚šßW~ Nš‚ žš B>º b Ò' 5 z' šîWf Ϛbî~ šÇ 5 ‡OV·ö ®ÚB nonequilibriumj ;W‚ . ¾ æ.ræ  b' öj Î~~V *š BBB ôf ΞöB “æ 'ž šîWš b~ &҂ÿö ~º '˚ *"> Ú z . V¢B  ’öBº š7Bv(dual-porosity concept)j 'Ï~ æ~~ãöB ²'š FVb î~ šÇ" Wçö ~º 'Ëj J~& . š7 ΞöBº ~¾~ šîW îj 皂 >Òæî' ßWj &ê v B~ ÿîW î, ¯ FÿF(macropore region)b‚ šÚê î" ¦ÿF(micropore region) 1-2). 3-5). 6). 13. b‚ šÚê îš Bv'b‚ 7Ï>Ú ®º ©b‚ J‚ . v ' ÚöB~ vª ßWj jv~š, ¦ÿ Fj šº ²f ^‚  ’V‚ ž~ š ~ö ~‚ vªj îÏ~æ pº >š, FÿFj šº –&j ۚBº Ϛbî" bš æ~>~ vªj ۚ ¶F“² šÿ† > ® . ¯, FÿF ÚöBº š~ (advection)f >Ò' ªÖ(hydrodynamic dispersion)š bî~ –ÿj æV~, ¦ÿF ÚöBº >~ v ªš ìš ;ÚB j‚ {Öö ~šBò bîš šÿ>º ©b‚ ‚*B . š‚ v F Қöº {Öö ~‚ bîšÿš B~, ¦ÿFf FÿFö &~ ç &'b‚ ¶Ö šÇ³êf – ‡OÏïj ßWb‚ ~º Ϛbî~ &˲ †j ~² B . FVJ"bî~ ö*~(in-situ) b' ¾Ò ";öB B~º 7º‚ Ú'ç~ ^B6f "«;~ ʒ֚¾ "æ öB "ê~² bš WËÁ»'>Ú ¢Ú¾ º R>Ë &~*çš . b~ &Ò·Ïj /ê~V *š "«>º '·bîf "«; "æ bj "ê~² WËÁ»'ʲ >, š-² &~B Û>Ëj ~ V *šBº z – {Kb‚ "«~–¾ "«ïj *¢ ò ~² B . šf ?f bö ~‚ ï¾(bioclogging) *çf b' ªš";j /ê~V *~ '·bî" bj Žþ "«~º ãÖ z× '~² ¾æÂ . Biocloggingö &‚ šÖkb‚ '·bîj ªÊ;‚ " «~ "«; ž"~ b~ WËj ÛB~º On _ f *VWj šÏš b~ šÇj Ã&ÊJº *V ÿK' ÚÇ O»(electrokinetic transport) š ‚Ï> ® . b‚, š‚ ï¾ *çö ~‚ Û>Ë &~ *ç f æ~>Ú ÏšJ"bî~ {Öj BÚ~V *‚ bã Ú~ J~öê wÏ> ® . v ãÖ ÎvöB b~ WËÁ»'b‚ ž‚ ï¾ *ç" š‚ ž‚ “æ'ž R >ê>~ 6² 5 æ~> vªÚê~ æzº *Ú ʂ Ú¦~ ·‚ æz' 5 b' *ç " FV'b‚ ÖB . ¯ b WËf W î~ >Ò' ßW j æzʖ šº  ϚJ"bî 5 '·bî~ š ÿö 'Ëj "Ú b~ WËö  'Ëj ~² B. . V¢B *' æzö Vž W î ʂ * Ú~ «'ž šš& j>'š–, š‚ B> *ç j J‚ >' Ξ~ BBš º’>Ú z . R>W bãÚ~ ;W" ‚Ïö &‚ ·‚ þ'  ’& B‚B– j~, bãÚf J"bî~ –ÿ" Wç j >'b‚ «~º ’º &N V·~ ÇWb‚ ž ~ .'ž êö ¹ ® . Guptaf Fox º funnel7). 8). 9). 10). Journal of KoSSGE Vol. 8, No. 4, pp. 12~20, 2003.

(3) {>ÁJÒ¢ÁVº‚. 14. ;~ >wãÚ¢ šÏ‚ FVJ"bî ¾Ò " ;öB ¢Ú¾º >Ò' æz¢ MODFLOW¢ šÏ~ êÖ~ ‚'zB J~Onj B~&b–, Eykholt  f &>[~ šîW" >wV·~ ®{ Wš R>W >w ãÚ~ WËö ~º 'Ëj Monte Carlo Simulation V »j šÏ~ Î~~& . Chen" Kojouharov º v «~ ~ b‚ šÚê bãÚ~ WË" š‚ ž‚ R> ê>~ æz¢ Î~~V *‚ ¢Nö Ξj B‚~& . ¾ J"bî 5 b~ –ÿ" Wç, bãÚ~ W Ë" ²ž  æz' V·" Ú»'b‚ ž‚ R> ê>~ æzf &>[~ šîW  >Òæî' J&  'b‚ JB Ξf jç ²B>æ p ® . V¢B  ’öBº š7 Bvj 'ς šNö >' Ξ~ BB" 'Ïj Û~ &>[~ bÒ' š îW" š‚ ž‚ ¦ÿF~ šÒ& æ~~ãöB~ FV J"bî~ šÇ" b' ªšö ~º 'Ëj ªC~ , Vš~ ¢Bv~ Ξö &‚ j' Î~> j B~¶ ~& . 6‚ BBB Î;j R>W bã Ú¢ šÏ‚ &ç~ b' ö ";j Î~~º– ' Ï~ bö ~‚ ï¾ *çj ‚Ï~–¾ J~º :²ç‚ Æ· 5 æ~> ö ê³j >ã~¶ ~& . and-gate. 11). 12). 2.. Ξ~ BB.  ’öB B~º >' ΞöBº &Òö ~ ‚ FVJ"bî~ ªš ";ö j>'ž J &æ V º²~ æ~ &>[ Ú –ÿ" Wçj Î~† > ®êƒ BB>î . J&æ V º²º r" ? . (i) ªš·Ïj ~º b (ii) *¶*Ú 5 ê²öb‚B~ WËVî (iii) &Òö ~š ªš>º jWËVîž FVJ"bî 5 (iv) *¶>ÏÚ 6‚, W î~ šîWj J~V *‚ š7 Bvš 'Ï>îb–, b~ šÿ 5 Æ·‡O" š‚ ž‚ &>[ Ú~ >Ò' æz¢ J~& . Ξç ' f šNö z&>[b‚ “‚>îb–, Nê, pH, Ž >N  ~㞶& b~ &Ò·Ïö ~º 'Ëf J>æ p~ . š7Æ· š7 Æ·j v B~ B‚ ž >Ò' ßWj &ê îW &>[š ~¾~ &>[b‚ 7Ï>Ú ®º ©b‚ ‚*~V *~ Ú'&7Ž>(volumetric weighting 2.1.. Journal of KoSSGE Vol. 8, No. 4, pp. 12~20, 2003. ¢ 'Ï~& . 7). function). VT = VT + VT = φVT + (1 − φ)VT ma. mi. (1). VB, *ζ maf mi º '' FÿF" ¦ÿFj ¾æÚ–, V º W î~ *Ú ¦b, φº Ú'&7 Ž> (=V /V )š . ?f O»b‚ v F~ †(n) f '' n = V /V f n = V /V ‚ ;~F > ® º–, VB V º ~ Ú'j ¾æÞ . 6‚ š7 Æ· Ú~ æ~> vªf FÿF ÚöBò ;~>æ ‚, æ~> vª~ jFï" F³f '' q = Q / A f v = q / n ‚ ‚*>–, VB Q(=Q )º Fï, A (=φA )º š'š . šÇ" ªÖö ~š vªš æ V>º FÿFb‚¦V VBB ¦ÿF ÚöBº {Ö V·j Û~ ¦ÿF Ú 5 FÿÁ¦ÿ F*~ b îªö 'Ëj ~² B . T. ma T. ma. T. ma v. ma T. mi. mi v. ma T. v. ma w. ma w. ma T. ma w. ma. ma. ma T. ma. T. b~ Wç" šÿ š7Æ·öB b~ ªº size exclusionö ~ š ²b‚ ’WB ¦ÿFf VB> FÿFö Bò šÒ~º ©b‚ &;>º–, š‚ FÿFÚ  bf æ~>~ vªj V¢ ¦F~–¾ Æ· ‚šö ‡ O~ –Ú¢ ;W~ ‡ç~ Ϛbîj ²j~šB F æÁW˂ . Æ·‡O b~ –÷;¢ >'b‚ ‚*~V *šBº ¢>'b‚ bï(biofilm)š¾ ²– Ú(microcolony)~ ’–‚ *Ûz~ ;~>º–, Molz  f æ~ &>[" ?š '·bî~ ³ê& jv' Ô f ~ãöBº bš Æ·‚šj j*® ”º bï j ;W~V  º ö>η~ ²–Ú¢ ššB Æ ·«¶~ ‚šö Ú^ ®  &;~º ²–ÚÎ;j B~& . ²–ÚÎ;j Ξö 'Ï~ Æ·‚šö ‡OB b~ ªf Ú'j ;~~, WËVî" F VJ"bî *ö ãç' &š(competitive inhibition)& ¢ Ú¾º b~ &Ò·Ïj 7 Monodb‚ ¾æÚ, Æ·ç b~ ‡ÁîOV·j ¢N &>wb‚ ‚* ~š, ‡ç" Æ·ç b~ Wç" –ÿj æV~º b îï;O;f '' r" ?š ;~F > ® . 2.2.. 13). ma ma. ∂θ Cc ---------------------- = ∇ ⋅ Jma c ∂t CP ma ma + µm (CP , CO ) ---------------------------------------------------------ma ma KP + CP + ( KP /KD)CD ma. CO --------------------- –kd – k1 ⋅ θma Cma c ma K O + CO. (2).

(4) bãÚÚ FVJ"bî TCE~ b' ªš Î~¢ *‚ >~ΞBB. f r" ?f bîï;O;b‚ ‚*F > ® .. COc CPc ∂ Nc --------- = µm( CPc, COc) ------------------------------------------------------- --------------------∂t KP + CPc + ( KP /KD )CDc KO + COc. ma. ma. ma ma. k1θ Cc –kd + ------------------------ ⋅ Nc–k2Nc mc. (3). ma ma CP – CPc K3P ρb ∂( θ CP ) f, ma 1 + --------------- --------------------------= –∇ ⋅ JP – DPbNcAc ----------------------ma δ ∂t θ ma. VB, j¾Î¶ c, P, O, Dº '' b, WËVî, * ¶>ÏÚ, &ÒV·j Û~ ªš>º FVJ"bîj ¾æÞ . θ º FÿF~ Ž>N‚B, NöB Æ ·«¶çö ‡OB b –÷~ Ú'Nj Bž‚ ©š –, Cº ³ê, Kº Monod~ >³êç>š . ò£ J>º J"bîš jWËVî‚B WËVî" ?f Î ²ö ~š &Ò·Ïö ‚ÏB š, WËVî" jWËV î Қö ãç' &š& ¢Ú¾² B . V¢B š¢ Î žöB J~V *~ b~ WË" WË 5 jWË Vî~ ªšö ÒÏ>º Monod “öB >³êê> K f K &ö K (1+C /K )f K (1+C /K )š 'Ï>î. . J º b~ FÿÇV, k , k , k º b~ Æ ·«¶ç '' ‡O, îO 5 Ҟê>š . N º ²– Ú~ &ê(*¦b~ &>[ î ²–Ú~ >)š–, m º B ²–Ú~ îï(=ρ Áπr τ; ρ º ¢ ² –Ú~ &ê, r f τº ö>;¢ &ê ²–Ú~ >æ ª" vþ)š . µ ( )º '·bî~ ³êŽ>‚ ‚*>º b~ WËê>Ž>‚, b~ &Ò·Ïö j>'ž Vî" *¶>ÏÚ~ ³ê& Îv &Ò·Ïö jº‚ ‚ ²³ê¢ ."† rº ‚&W˳ê, µ ¢ Fæ~–,  -æ pj röº 0, ¯ &ҷϚ ¢Ú¾æ pº ©j ¾æÞ . C , C , C º '' ²–Ú Ú~ Vî, J" bî, *¶>ÏÚ~ ³êš .  (2)öB Öæ~ “ f ' ' ‡çöB b~ Fÿ, WË, Ҟ, Æ·«¶ç ‡O 5 îOj ¾æÚ–,  (3)~ Öæ “f '' Æ·«¶ç öB b~ WË, Ҟ, ‡O 5 îOj ¾æÞ . ma. P. D. 14). P. D. D. D. ma c. 1. P. 2. P. d. c. c. c. 2 c. c. c. m. max. Pc. Dc. 15. Oc. 2.3. Ϛbî~ Wç" šÿ æ~>~ vªj V¢ Fÿ~º WËVî, FVJ"bî, *¶>ÏÚº Æ·«¶ç ‡O" FÿÁ¦ÿF* 5 ‡ ç" ²–Ú*~ bîv~j –~šB ‡çö ¦F~– ¾ Æ·«¶çö ‡O>Ú ²–Ú¢ š ®º  bö ~š ²j>–¾ ªšB . š ";ö &‚ >' ‚*f ''~ bî š b~ &҂ÿöB ·Ï~º V· ö ~š Ö;B .  ’~ Ï'ö V¢ Î~>º bš ¢ WËVîj &Ò·Ïö ‚Ï~, FVJ" bîf &ÒV·ö ~š ªš>º jWËV & ;~š, Fÿ 5 ¦ÿFöB~ WËVî~ Wç" šÿ. ma. ma. ma ma. ma. CO CP αP ma mi µm( CP , CO ) θ CP --------------------–------ (CP – CP )–----------------------------------------------------- --------------------ma ma φ YP KP + CP K O + CO (4) mi mi. mi. K3P ρb ∂[ θ CP ] f, mi αP ma mi 1 + --------------- ------------------------ = ∇ ⋅ JP + ---------- ( CP – CP ) mi ∂ t 1–φ θ. (5). VB, K º Vî~ ï;‡Oê>, ρ º &>[ î~ š–&ê, δf D º {Öãê[~ vþf Vî~ {Öê >, A º ¢ ²–Ú~ ç¦ š' (=πr τ), α º F ÿÁ¦ÿF* Vî~ ¢N bîv~ê>, Y º Vîö &‚ >Nê>š .  (4) Öæ~ ' “ f '' FÿF  ÚöB Vî~ šÿ, ²–Úf ¦ÿFb‚~ bî šÿ, ‡çöB bö ~‚ ²j¢ ¾æÚ–,  (5)~ Öæ “ f ¦ÿFöB Vî~ {Öö ~‚ šÿ 5 F ÿF"~ bîšÿj ¾æÞ . FÿF" ¦ÿF~ ‡ç* bîšÿf v '~ ‡ç³êNö ~š ÿK 'b‚ æV>º– , š r bîv~ê>º Ïî~ ª¶ {Öê>f Æ·«¶ 5  ’–ö ~š Ö;B . æ~~ã~ bf ÿz·Ï" cell maintenance¢ * ~ *¶>ÏÚ¢ jº‚ ‚ . V¢B *¶>ÏÚ~ ² jNf '' b~ WËN" ҞNö jf~º š v &æ jºW~ b‚ ¾æÚê .  (6)" (7)f '' FÿF" ¦ÿFöB~ *¶>ÏÚ~ šÿ" Wçj ¾æÚº bîï;O;š . 3P. b. Pb. c. c. P. P. 15). ma ma. ma. K3Oρb ∂( θ CO ) 1 + --------------- -------------------------ma ∂t θ f, ma. =–∇ ⋅ JO. ma. CD – CDc αO ma mi – DObNcAc ------------------------ – ------- (CO – CO ) δ φ ma. CP ma ma –γP µm (CP , CO ) -------------------------------------------------------ma ma KP + CP + ( KP /KD)CD ma. CO --------------------- ⋅ θmaCma c ma KO + C O ma. ma. CD CP ma ma --------------------------------------------------------–γDµm( CP , CO ) --------------------ma ma ma KP + CP KD + CD + (KD/KP )CP ma. ma. CO CO --------------------- ⋅ θmaCma ----------------------- ⋅ θmaCma c – αkd c ma ma KO + C O KO′ + CO. (6). Journal of KoSSGE Vol. 8, No. 4, pp. 12~20, 2003.

(5) {>ÁJÒ¢ÁVº‚. 16 mi mi. mi. αO ma mi K3Oρb ∂[ θ CO ] ------------------------ = ∇ ⋅ JfO, mi + --------- (C – CO ) 1 + --------------mi ∂ t 1 –φ O θ. (7). VB γ f γ º '' WËVî" jWËVîž FVJ "bî~ ªš";j *‚ *¶>ÏÚ~ ²jê>, αº  b~ BÚFæ¢ *‚ *¶>ÏÚ~ ²jê>š . 6 ‚ &Òö ~š ªš>º FVJ"bî~ Wç" –ÿö &‚ bî>æf FÿF" ¦ÿFöB ''  (8) " (9)f ?š ‚*F > ® . P. D. ma. ma ma ma CD – CD K3D ∂ (θ CD ) f, ma c 1 + ---------- --------------------------= –∇ ⋅ JD – DDbNcAc ----------------------ma δ ∂ t θ ma. ma. ma ma. αD ma mi µm(CP , CO )θ Cc –------- ( CD – CD )– ----------------------------------------------------φ YD ma. ma. ma. CD CO CP ----------------------------------------------------------------------------- --------------------ma ma ma ma KP + CP KD + CD + ( KD /KP)CP KO + CO mi. (8). mi mi. K3Dρb ∂( θ CD ) f, mi αD ma mi - ( C – CD ) 1 + --------------- -----------------------= –∇ ⋅ JD + --------mi ∂t 1–φ D θ. (9). Ϛbî f FÿF~ ‡çb‚¦V {Öj ۚ  ²–Ú ڂ F«B ê b~ &Ò·Ïö ~š ªšB. . V¢B ²–Ú Ú Ïšbî~ ³êº ‡ç" ²– Ú Òš~ {Öãê[j ãê‚ ~º bîï;O;b‚ ¦V êÖF > ® .  (10)-(12)~ ²æ“f ‡çb‚¦ V ²–Ú nb‚ {Ö F«>º Ϛbî~ jFïj ¾æÚ–, Öæ“f ²–Ú Ú bö ~‚ ' Ϛ bî~ ²jNj ¾æÞ . ma. [ CP – CPc ] µm (CPc, COc )mc DPb ---------------------------= --------------------------------------δ Ac YP CPc COc ------------------------------------------------------- --------------------KP + CPc + ( KP /KD )CDc KO + COc. (10). ma. [ CD – CDc] µm( CPc, COc)mc DPb ---------------------------= --------------------------------------δ Ac YD CDc COc CPc -------------------- -------------------------------------------------------- --------------------KP + CPc KD + CDc + ( KD /KP)CPc KO + COc. 16). s. σc  19/6 K  -------s- = 1 – ------------ Ks0  φ nma. ma. COc γDµm( CPc, COc)mc CPc --------------------- + -------------------------------------------- --------------------KO + COc KP + CPc Ac COc CDc αkdmc COc - ----------------------------------------------------------------------------- --------------------- + -------------KD + CDc + (KD/KP )CPc KO + COc Ac KO ′ + COc. (12). (13). VB K º Ú»' š*~ .V R>ê>š–, σ º Æ·‡O b~ Ú'N‚,  (3)öB êÖB ²–Ú ~ &ê, N ö B ²–Ú~ ¦b (=πr τ)¢ ~ êÖB . Clement~ j j•~ Všö B‚B Ξ öBº ^Æ·~ ãÖ R>ê>~ 6²& "².G>º ãËj ¾æÚî . ~æò ¢>'b‚ «¶~ ’V& · f Æ·öB φ& ç&'b‚ ·f 8j &ææ‚, š7 Æ· Bvš 'ÏB  (13)~ ãÖ Vš~  ö j ~ ^Æ·öB  ;{‚ R>ê> 6²~ .Gš šÚî > ®º ©b‚ ¾æÒ . c. s0. 2 c. c. 3.. (11). CO – COc γPµm( CPc, COc ) CPc DOb ------------------------ = ------------------------------------- -------------------------------------------------------δ K + C + Ac P Pc ( KP /KD )CDc. Journal of KoSSGE Vol. 8, No. 4, pp. 12~20, 2003. 2.4. š7Æ·öB b~ Æ·‡Ob‚ ž‚ R> ê>~ 6² æ~&>[ b~ &¦ªf Æ·«¶~ ‚šö – ÷j š– ‡O>Ú ® . šr ‡OB bf WË " Ãj Û~ RFî matrixž extracellular polymer ‚ WB –÷;¢ š² >º–, š-² ¦O ;W B b–" extracellular polymer~ –÷*çj Ú »'(biomass accumulation)𢠂 . »'B bf j Næ~ æ~>~ vªj Oš~ Û>Ëj 6 ²ʺ–, š‚ 'Ëj >'b‚ ‚*~V *šB º b ²–Úf ?f Bz &;j Û~ » 'B b~ Ú'" þj Û~ G;B R>ê>~ ç&&ê¢ ¾æÚº ²æj êÂ~ ‚Ï~º O»j Òς .  ΞöBº ²–Ú Ξj Û~ Æ·‡ O b~ Ú'j êւ ê, Clement  š Bn‚ macroscopic Bv~ >ãþ' šCö š7Æ·~ Ú '&7Ž>, φ,¢ 'Ï~, ¦ÿF~ šÒ& &>[~ R>ê² 6²ö ~º 'Ëj J~& . V¢B z &>[ ÚöB b~ Æ·‡Oö ~š 6²B R>ê >, k º r" ?f b‚ êÖF > ® .. Ξ~ 'Ï 5 ªC. bãÚ¢ šÏ‚ TCE J"Ú~ b' ¾Ò  ’öB BnB Ξ~ 'ÏWj .~V *~ bãÚ¢ ۂ FVJ"bî~ b' ¾Ò ¾ÒJ ¢ Ξö 'Ï~& . .B ¾ÒJöB JB FV J"bîf &‚'ž "²ê J"bîž trichloroethene (TCE)b‚, z® TCEº 悚 F‚ žš æ~~ãö F«B ê &>[~ &šö DNAPL~ ;‚ šÒ~šB 3.1..

(6) bãÚÚ FVJ"bî TCE~ b' ªš Î~¢ *‚ >~ΞBB. æ~>ö Ϛ>Ú J"Új ;W~ æ~>~ vªj V¢ –ÿ~šB J"š {ÖB . šÿ~º TCE J"Ú j *Ë ¾Ò~V *‚ Onb‚ æ~ &>[ö R>W >wãÚ¾ ;ç bãÚ¢ J~~º VFö &‚  ’f B 'Ϛ ‚" ‚B~² ê¯> ® . ß® ^ V 5 6V ç ÎvöB b~ &ÒV·ö ~š ªšF > ®º TCE~ ßWj šÏ‚ bãÚ ‚Ï O nš  Ξ~ 'ÏWj .~V *‚ ¾ÒJö 'Ï ~& . â 1f BB ¾Ò ¾ÒJ~ ’Wj BÛ'b‚ ¾æÚ ® . 2 mÜ2 m ’V~ TCE J"ښ æ~> ~ vªj V¢ ê¯> ®º z&>[~ ~~¦ö š ¢ NÁ¾Ò~V *‚ bãÚ¢ J~~& . bã Úº TCE ªšËj &ê bj ž¦öB V·~ ~ ~¦ö J~B "«;j Û~ .V 5¢ ÿn &>[ Ú ‚ "«Žb‚Ž J~~& . š‚ J~";öB Æ· ‡O" WËb‚ B~º "«; "æ~ b "»' f ö‚‚ æ~> vªj N~, "«>º '·bî 5 b~ {Ö" bãÚ~ WËj &š~ ¾Ò ÎN j ÎÚNÒº öžš F > ® . š¢ jz~V *~ '·bî-Ϛç~ zê(WËVî)" Ö²(*¶>ÏÚ)~ "«;j b "«;~ ç~¦ö êê‚ J~~ š ¢ Û~ '·bîj Î~ *V*ö Öö ê³'b‚ " «~悎 bãÚ~ ;Wj –.~& . Î~&ç' ö &‚ æî>Ò' Bö" "«–šf ‚ 1" 2ö ¾æ ¾ ®b–, Î~ö ÒÏB ê> f Wang" Corapcioglu 17). Fig. 1. Areal view of model domain in hypothetical simulation.. 17. Table 1. Physical parameters used in the simulation. Î~&ç'~ ’V >Ò ãÒ .V zR>ê> »OË ªÖê> ÇOË ªÖê> Fÿ'" ¦ÿ'~ N Ú'&7ê> Æ·~ š–&ê. 8 20 mÜ20 m. 0.001 100 m/day 50 cm 10 cm 0.333, 0.333 0.7 1.60 g/cm3. Table 2. Input concentrations used in the simulation. Vã ³ê. TCE. 0 mg/L. Ϛ zê Ϛ Ö² ¦F b ²–Ú &ê. 2 mg/L 6 mg/L 0 mg/L 500 cm−3. "« ³ê ‚ê ³ê − 2 mg/L (TCE J"Ú Ú) 50 mg/L 8 mg/L 200 mg/L −. 0.01 mg/L 0.01 mg/L − −. ö 'ÏB 8 j ÒÏ~& . '·bî" b~ "«· 6¢ ê, FÿFÚ~ ‡ ç~ Ϛbî³êf ²–Ú &ê~ *' ª¢  â 2ö ¾æÚî . .V 5¢ ÿn~ "«B ž¦ b f æ~>~ vªj V¢ ~~‚ –ÿ~šB "«; W1 "æö &ê~ ²–Ú‚ šÚê æö;~ bãÚ ¢ ;W~& . ÆO b~ ¶ ;zö ~‚ TCE~ ªš& Î~ ' *ÚöB šÚæº &ږ, bãÚ Ú¦öBº .Vç~ Ϛ '·bîj †š² ²j‚ ê "‚ "«; W2‚¦V />º ³ê~ '·bîö ~š jv' †ž ³ê~ &Ò·Ïj Fæ~– F«>º TCE¢ ªš‚ . bãÚ~ ~~¦öBº ç~‚¦V~ '·bî šÇš bãÚö ~š NB j ªÖ" {Ö V·j ۚ "æb‚¦V />º Ôf ³ê~ '·b îj V>b‚ Ö Ôf ³ê~ &Ò·Ïj Fæ‚ .  &ê~ ²–Ú &êf ³ê~ '·bî /b‚ ž š &¦ª~ TCE ªšº bãÚ~ Ú¦öB B‚ . â 3f Î~ 6¢ šê Fÿ 5 ¦ÿFöB~ J" bî ³ê~ ª¢ ¾æÚ ® š r, J"Úö &‚ .V–šb‚ v F Úö ?f ³ê~ J"bîš šÒ ~º ©b‚ &;~& . Î~ þ Ö", šÇ" ªÖö ~š –ÿ~º FÿF Ú~ J"bîf †ž ³ê‚ ~ ~¢ ˚ šÿ‚ ê bãÚö 7~ bãÚ¢ š º b~ &Ò·Ïö ~š ªš>î . ¾, {ÖV ·ö ~šBò –ÿš æV>º ¦ÿF Ú~ J"bî f b' ªšöB VBB j .V³êöB ’² 6² Journal of KoSSGE Vol. 8, No. 4, pp. 12~20, 2003.

(7) 18. {>ÁJÒ¢ÁVº‚. Fig. 4. The fate and transport of the TCE plume passing through an in situ biobarrier.. Fig. 2. Areal distributions of aqueous phase methane, oxygen, and TCE concentrations in the mobile region and microcolony density at Day 6.. Fig. 3. Areal distribution of aqueous phase TCE concentrations in the (a) mobile and (b) immobile region at Day 6. Journal of KoSSGE Vol. 8, No. 4, pp. 12~20, 2003. ~æ pf çöB šÇö ~š ³ê& Ôjê FÿF b‚ bîv~j ۚ {Ö F«>î . ~~¦ö ªB ¦ÿF J"bîf FÿFj ۚ †š² šÿB J "bîš FÿÁ¦ÿF*~ ³êNö ~š ¦ÿFb‚ F«B ©b‚, š r ¦ÿFf FVJ"bî~ reservoir ‚ ·Ï~ *>'ž b' ªš ";~ ÎNj ÎÚ NÒ² B . â 4º Î~V* 48¢ ÿn b" '·bî "« ö Vž bãÚ~ ;W" ²ž, J"bî~ Wç" – ÿj ¾æÞ ©š . Æ·‡Ob‚ žš "«;j 7b ‚ ;WB æö;~ bãÚ Úö /Ï~² Ã&‚  b –÷f ç~~ '·bî "«;b‚¦V />º Ï š '·bîj ²j~– ‚B‚ &Ò·Ïj Û~ F« >º J"bîj ªš~, Day 12~18öBº bãÚ¢ Û~º FVJ"bî~ ³ê& †š² 6²~º ©j " > ® . *š vªö V¢ ³¦‚ '·bîš šÒ~ º '·bî "«; ¦"ö šÒ~º ÆO b š / ³~² WË~šB W2¢ Û~ "«>º '·bî~ & ¦ªj ²j~ ~~ bãڂ~ '·/j N~².

(8) bãÚÚ FVJ"bî TCE~ b' ªš Î~¢ *‚ >~ΞBB. Fig. 5. The distribution of TCE in the aqueous and solid phases in the mobile and immobile regions during bioaugmentation.. ‚ æö;~ “¦æöB B‚ . .V~ R>ê> 6 ²& "‚ b~ "«b‚ ž‚ /³‚ Æ·‡Ob‚ B‚ š, öV~ *çf ³ê~ '·bî "«b‚ ž‚ '·ç& '·bî "«; W2 ¦" ÆO  b~ WËj /ê~ B‚ *çš . š‚ *çš B ~º ãÖ "«>º '·bîf F« çê "«; "æ bö ~š ²j>Ú bãÚ¢ šº bö² *>æ á~ bãÚº †ž ³ê‚ ²ž~² B . V¢B, &>[ Ú~ >Ò' æz¢ J~ Î"'b ‚ '·bîj "«Žb‚Ž bãÚ~ ‚Wj Fæ† > ®º Onš ö ;~ ‚'z¢ *š > jº † ©š . 4.. Fig. 6. Hydraulic conductivity reduction due to biomass accumulation at Day 6 and 18.. >Ú, bãÚº /³ê‚ 6²~² B . Day 24~30ö Bº bãÚ~ &¦ªš ²ž> Ö Ôf ³ê~ & Ò·Ïòš º~~º J"bîj ªš‚ . Î~V* ÿ n Fÿ 5 ¦ÿ F Ú ‡ç" Æ·ç TCE~ ª¢ â 5ö ‚~& . FÿF Ú ‡ç TCEòš b ö ~‚ ªšö ‚ÏF > ®bæ‚ F* 5 ç* bîv~f š‚ TCE~ –ÿ" ªšV·ö ~š B ~º ³êNö ~šB æVB . Î~V* ÚÚ ôf · ~ TCE& ¦ÿF Æ·ç~ ¸f ‡OË" v F*~ Ôf bîv~N‚ žš ¦ÿF Úö šÒ~悎 ¦ ÿF~ šÒ& b' ¾Ò~ ÎNj ÎÚNÒº 7 º‚ ºžš B º ©j " ® . â 6öB ¾æÂ :f ?š b~ »', bãÚ ~ ;Wb‚ ž‚ R>ê>~ 6²º .Vöº b " «;j 7b‚, öVöº '·bî "«;j 7b‚. 19. Ö †.  ’öBº æ~ ~ã ÚöB æ~>~ vªj V¢ šÿ~º FVJ"bîj *Ë ¾Ò~V *‚ On~ ~ ¾ž bãÚ¢ šÏ‚ b' ¾Ò ";j Î~~V *‚ >' Ξj B~& . Ξ~ 'ÏWj .~ V *~ ÒÏB &ç'ž b' ¾Ò ¾ÒJöBº ^òöB B æ> 5 ç>8 š ÒÏ>îbæ‚ Î~ Ö"~ ‚Ïö &‚ ‚ê& šÒ~Vº ~æò, *>'ž Î~ Ö"~ –ÿf  ’öB BB Κ bãÚ ¢ šÏ‚ b' ¾Ò ";j '.~² Î~† > ®. º &ËWj  "îb–, B ¾Ò";~ JêöB  J>Ú¢ † º² ö &‚ 7ºWj .~&  Òò B . &>[ Úö šÒ~º ²š¾ Ò~'  æ~ > vªöB VBB ¦ÿFf Ϛ FVJ"bö &‚ reservoir‚B ö ;~ ÎNj ÎÚNÒ ¾ÒV*~ ËVz¢ FB~º ºžš F > ® . V¢B ¾Ò"; Jê¢ *‚ Ò* Î~ö ÒÏ>º ΞöBº š‚ ¦ ÿF~ šÒ¢ Ϫ® J~ ¾Ò ÎNš "&Ö; >º ©j ãê~¢ ‚ . 6‚ b~ &Ò";j / ê~V *~ ž¦ bš¾ '·bîj &>[ ڂ /~º ãÖ "«; "æöB~ b " »'b‚ ž~ "«; "æ~ R>ê>¢ &~Ê æ~> v ª ·çj æzʺ  æî>Ò' æz¢ ¢bÒ > ® . "«; "æ~ /³‚ b »'b‚ ž‚ R> ê>~ &~º F«Fï~ 6²¾ "«{K~ Ã&  ö ‚‚ b 5 '·bî "«~ &šºžb‚ ·Ï† ö ò jî¢ bãÚ Fæ¢ *‚ '·bî~ /j N ~ *>'ž ¾Ò ÎNj ÎÚNÒº öžš B . V Journal of KoSSGE Vol. 8, No. 4, pp. 12~20, 2003.

(9) {>ÁJÒ¢ÁVº‚. 20. ¢B ¾Ò";~ ê³ êöB b' &ҷϚ ¢ V† > ®º &>[ Ú~ æî>Ò' æz¢ Ϫ® J~ bãÚ~ J~ 5 Fæ Onj >ã~¢ † ©š . V¢B bö ~‚ J"bî~ ¾ÒV· šžö. W î~ šîW 5 æî>Ò' æz¢ J† > ®êƒ BBB  Κ bãÚ¢ šÏ‚ FVJ"b î~ b' ¾Ò ;~ Jêf ÎNW B On ê Âö Î"'b‚ ‚ÏF > ®j ©b‚ ÒòB .. Ò Ò  ’º ~ã¦~ “N^&›~ãVFBBÒë(Ecob‚ æöAf "B«î .. technopia 21 project)”. ^^ò 1. Tang, W.C., White, J.C., and Alexander, M. “Utilization of sorbed compounds by microorganisms specifically isolated for that purpose”, Appl. Microbiol. Biotechnol., 49(1), pp. 117-121 (1998). 2. Laor, Y., Strom, P.F., and Farmer, W.J. “Bioavailability of phenanthrene sorbed to mineral-associated humic acid”, Water Res., 33(7), pp. 1719-1729 (1999). 3. Ogram, A.V., Jessup, R.E., Ou, L.T., and Rao, P.S.C. “Effects of sorption on biological degradation rates of (2,4dichlorophenoxy) acetic acid in soils”, Appl. Environ. Microbiol., 49, pp. 582-587 (1985). 4. Smith, S.C., Ainsworth, C.C., Traina, S.J., and Hicks, R.J, “Effect of sorption on biodegradation of quiniline”, Soil Sci. Soc. Am. J. 56, pp. 737-746 (1992). 5. Zhang, W., Bouwer, E.J., and Ball, W.P. “Bioavailability of hydrophobic organic contaminants: Effects and implications of sorption-related mass transfer on bioremediation”, Ground Water Monitoring and Remediation, 18(1), pp. 126138 (1998). 6. Brusseau, M.L. and Rao, P.S.C. “Sorption nonideality dur-. Journal of KoSSGE Vol. 8, No. 4, pp. 12~20, 2003. 7.. 8.. 9.. 10.. 11.. 12.. 13.. 14.. 15.. 16.. 17.. ing organic contaminant transport in porous media”, CRC Crit. Rev. Environ, Control, 19(1), pp. 33-99 (1989). Corapcioglu, M.Y. and Wang, S. “Dual-porosity groundwater contaminant transport in the presence of colloids”, Water Resour. Res., 35(11), pp. 3261-3273 (1999). Taylor, S.W. and Jaffe, P.R. “Substrate and biomass transport in a porous medium”, Water Resour. Res., 26(9), pp. 21812194 (1990). Semprini, L., Hopkins, G.D. and Roberts, P.V. “A field evaluation of in-situ biodegradation of chlorinated ethenes: Studies of competitive inhibition”, Ground Water, 29(2), pp. 239-50 (1991). Gupta, N. and Fox, T.C. “Hydrogeologic modeling for permeable reactive barriers”, J. Hazard. Mater., 68, pp. 19-39 (1999). Eykholt, G.R., Elder, C.R. and Benson, C.H. “Effects of aquifer heterogeneity and reaction mechanism uncertainty on a reactive barrier”, J. Hazard. Mater., 68, pp. 73-96 (1999). Chen, B.M. and Kojouharov, H.V. “Non-standard numerical methods applied to subsurface biobarrier formation models in porous media”, Bull. Math. Biol., 61, pp. 779-798 (1999). Molz, F.J., Widdowson, M.A. and Benefield, L.D. “Simulation of microbial growth dynamics coupled to nutrient and oxygen transport in porous media”, Water Resour. Res., 22(8), pp. 1207-1216 (1986). Semprini, L., and McCarty, P.L. “Comparison between model simulations and field results for in-situ biorestoration of chlorinated aliphatics, part 2. cometabolic transformations”, Ground Water, 30(1), pp. 37-44 (1992). Coats, K.H. and Smith, B.D. “Dead-end pore volume and dispersion in porous media”, Soc. Pet. Eng. J., 4, pp. 73-84 (1964). Clement, T.P., Hooker, B.S. and Skeen, R.S. “Macroscopic models for predicting changes in saturated porous media properties caused by microbial growth”, Ground Water, 34(5), pp. 934-942 (1996). Wang, S. and Corapcioglu, M.Y. “Simulation of bioaugmentation involving exogenous bacteria injection”, Water Resour. Res., 38(12), 1293, doi:10.1029/2001WR000344 (2002)..

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