The Effects of Reservoir Properties

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    PREDICTIVE MODELING OF THE EFFECTS OF RESERVOIR 

    PROPERTIES ON THE EFFECTIVE APPLICATION OF

    MICROBIAL ENHANCED OIL RECOVERY (MEOR)

     Nmegbu, C.G.J and Ohazuruike, L.V.

    Department of Petroleum Engineering, i!er" #tate $ni!er"it% of #&ien&e and 'e&hnolog%, Port (ar&ourt

    Abstract

    'he in&rea"ing need to impro!e re&o!er% of re"idual oil from the re"er!oir had prompted the di"&o!er% of 

    )i&robiall% Enhan&ed Oil e&o!er% *)EO+ te&hnolog% a" an en!iable and effe&ti!e method of enhan&ing oil

    re&o!er%. or optimum re&o!er%, thi" te&hni-ue re-uire" the predi&tion of fa!ourable &ondition" of re"er!oir 

     parameter" in addition to mi&robial and operating parameter". 'o a&hie!e thi", thi" ork in&orporate" rea&tion

    engineering into the re"er!oir engineering a"pe&t" of )EO, treating the bounded re"er!oir a" a biorea&tor. 'he

    model" de!eloped are ba"ed on the prin&iple of ma"" &on"er!ation. / C00 program "our&e &ode a" u"ed to anal%ze

    and e!aluate the effe&ti!ene"" of the model". e"ult" from the "imulation "ho that re"er!oir propertie" greatl%affe&t the appli&abilit%, "uitabilit% and performan&e of an% )EO pro1e&t.

    Key!r"s# MEOR, PREDICTIVE MEOR MODELING, RESERVOIR PROPERTIES 

    $% I&tr!"'ct!&

    )i&robial a&ti!it% ha" been knon a" a potential mean" of enhan&ing the %ield of trapped oil. )i&robiall% Enhan&ed

    oil re&o!er% *)EO+ &an be defined a" a mi&robiologi&al method for the impro!ement of oil re&o!er% from

    underground re"er!oir. Primaril%, the term refer" to pro&edure" hi&h in&lude ater di!er"ion and donhole

     pol%mer and "urfa&tant lo"" hi&h are ba"ed on produ&t" produ&ed dire&tl% in the re"er!oir matri2 b% li!ing

    mi&roorgani"m" e"pe&iall% the ba&teria. 'hi" te&hnolog% find" it" role mainl% in "ele&ti!e plugging in the &ontrol of 

    aterflood, pol%mer and "urfa&tant flood", the "tabilit% of mi&robial produ&t" for oilfield u"e and hea!% oil re&o!er%.

    'he groth of mi&robe" in3"itu in the re"er!oir ha!e a number of important intera&tion" ith the inorgani& material"

    and the oil pre"ent in the formation. 'he"e mi&robe" ill produ&e biogeni& ga"e" hi&h ill mi2 ith the oil and

    di""ol!e in the hea!% &rude and a&t a" a mobilizing agent. 'he"e fermentation and metaboli& pro&e""e" produ&e other 

    u"eful produ&t" like pol%mer and "urfa&tant" donhole that aid further petroleum re&o!er%. 'he"e re"ult in

    modifi&ation" of the ro&k and fluid propertie" ne&e""ar% for produ&tion, and ma% in&lude permeabilit% modifi&ation,

    !i"&o"it% redu&tion and pro!i"ion of fa!ourable mobilit% &ontrol.

    )EO i" not a "ingle te&hnolog% ba"ed on a &ommon approa&h but an adaptation of mi&robial "%"tem" to "pe&ifi&

     problem" of oil re&o!er% from a &ho"en target re"er!oir. Con"e-uentl%, under"tanding the target re"er!oir, mi&robial

    and operating &ondition" are !ital for effe&ti!e appli&ation of the te&hnolog% to obtain an optimum re&o!er%.

    'he u"e of mi&robe" introdu&e" rea&tion engineering into re"er!oir engineering, ith a""o&iated &on&ept" in&luding biorea&tor !olume, nutrient rea&tion kineti&" and "ele&ti!it%, and minimum re-uired le!el of &on!er"ion. 'he"e

    &on&ept" permit -uantitati!e relation"hip" to be e"tabli"hed beteen re"er!oir &hara&teri"ti&", operating &ondition"

    and mi&robial performan&e a" ill be de!eloped in thi" ork. 'he"e -uantitati!e relation"hip" beteen mi&robial

     performan&e, re"er!oir4fluid &hara&teri"ti&" *permeabilit%, poro"it%, thi&kne"", !i"&o"it% et&.+ and operating

    &ondition" *ell "pa&ing, in1e&tion rate", re"idual oil "aturation+ &an be de!eloped from the adoption of a re"er!oir 

    engineering per"pe&ti!e fo&u"ing on i""ue" "u&h a" "&ale up of laborator% re"ult", pro&e"" de"ign and field

    implementation and operation. /nal%"i" ith plau"ible !alue" of re"er!oir and mi&robial parameter" indi&ate", from

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    literature", that a )EO pro&e"" u"ing the in3"itu &arbon mu"t o!er&ome "e!ere performan&e &on"traint". $"e of an

    e23"itu &arbon "our&e a!oid" the"e te&hni&al4performan&e &on"traint" but eliminate" the logi"ti&al and &o"t

    ad!antage" of an in3"itu "our&e.

    'he "ele&ted, &ultured, naturall% o&&urring "pe&ie" *mi&robe"+ produ&e "e!eral &ompound" that ha!e the potential for 

    enhan&ed oil re&o!er%. 'he"e mi&robial degradation b%3produ&t" in&lude "ol!ent", ga"e", al&ohol", a&id",

     bio"urfa&tant" and biopol%mer". 'he in3"itu produ&ed ga"e" ma% in&rea"e re"er!oir pre""ure and de&rea"e the!i"&o"it% and gra!it% of the &rude oil, alloing it to mo!e more freel% to the produ&ing ell". 'he ga"e", "ol!ent"

    and eak a&id" &au"e a redu&tion in the !i"&o"it% and the pour point of the &rude and an in&rea"e in it" /P5 *or 

    "pe&ifi&+ gra!it%. )i&robial plugging due to bioma"" a&ti!it% i" al"o reported.

    5t i" al"o important to point out that "ome of the mi&roorgani"m" inhibit the a&ti!it% of #6 *#ulphate3redu&ing

     ba&teria+ hi&h al"o o&&ur naturall% in re"er!oir" and are often re"pon"ible for the produ&tion of &orro"i!e h%drogen

    "ulphide ga". 'he "urfa&tant", a&id" and "ol!ent" &lean out paraffin, a2 and the hea!% &rude depo"ition" in the

     pore" of the ro&k impro!ing the permeabilit% and partiall% re"toring the ro&k7" original poro"it%. 'he"e "ol!ent" are

    al"o re"pon"ible for the redu&tion in 5nterfa&ial ten"ion *5'+ and ettabilit% alteration. /n illu"tration of the abo!e

    effe&t" i" gi!en in the table belo.

    Tabe $% Change" in Oil Propertie" due to )i&robial EO 89:,9;<

    Parameter Conventional MEOR

    /P5 Gra!it% =;.> >9.;

    Vi"&o"it% *&p+ 9? ;

    Pour Point *@+ ;: :9

    A #ol!ent"B > ?

    A Paraffin a2 F >:

    B#ol!ent" in&lude ga"oline, kero"ene and die"el"

    *% F!r+'at!& !, M!"es

    'he pre"ent anal%"i" introdu&e" rea&tion engineering &on"ideration" into the re"er!oir engineering anal%"i".

    *%$ T+e M!"es

    'o ba"i& time model" for mi&robial "%"tem" are re"iden&e time re", the amount of time "pe&ie" "pend" ithin the

    rea&tor, and the &hara&teri"ti& rea&tion time, r2n, the amount of time re-uired for the &on&entration of a rea&tion

     produ&t to rea&h a de"ired le!el. 5n the )EO pro&e"", the re"iden&e time depend" on operating &ondition" H ell

    "pa&ing, in1e&tion rate", re"idual oil "aturation" and the rea&tion time depend" on the beha!iour of the mi&robial

    "%"tem *i.e., mi&robial &ondition"+ H &on&entration of "pe&ie", pore fra&tion of the retained "pe&ie", &on!er"ion

    effi&ien&% of "pe&ie" et&.

    5f e a""ume that the retention *or re"iden&e+ time i" a fun&tion of the in1e&tion rate and that the biorea&tor i" of a

    &ontinuou"3flo t%pe, then the retention time i" e2pre""ed a"I

    τ res=φπ rm

    2h(1−S¿)Q

    *9+

    here,

    re"  re"iden&e time, da%

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    K poro"it%, !olume fra&tion

    r m  radial e2tent of biorea&tor, ft

    h thi&kne"" of formation, ft

    #or   re"idual oil "aturation, !olume fra&tion

    in1e&tion rate, bbl4da%4in1e&tor 

    'he rea&tion time, r2n depend" on the mi&robial &ondition". /""uming that the &on&entration of the produ&ed

     bioprodu&t C, i" proportional to the &hange in &on&entration of in1e&ted nutrient" and that at the rea&tion time, the

    &on&entration of the produ&ed bioprodu&t i" the re-uired &on&entration, Cre-, for effi&ient re&o!er%, thenI

    τ rxn=−1 K 1

    ln [1−   C reqV  N  N o ]*+

    *%* I&-st' Carb!& S!'rce C!&.ers!& M!"e

    or effe&ti!e intera&tion ith the inter"titial oil, the mi&robe" "hould be able to e2hibit "tabilit% or "tead%3"tate

    &ondition". /l"o, rea&tion engineering &on"ideration" "ugge"t that the &on!er"ion effi&ien&% of the re"pe&ti!e

    medium i" the ma2imum &on&entration, Cma2 *in ma"" fra&tion+ of the re&o!er% H enhan&ing &hemi&al that &an be

     produ&ed ithin the biorea&tor, gi!en b%I

    C max=V  H S¿

    1−S¿

     ρo

     ρw

    *=+

    #in&e the ma2imum !olume of re&o!er%3enhan&ing &hemi&al *the ma2imum "lug !olume, Vma2+ "hould be the "ame

    a" the rea&tor !olume, then, for Mn7 number of in1e&tor"I

    V max=nπ τ m2

    hφ(1−S¿)

    *>+

    E-uation *>+ model" the ma2imum "lug !olume of the re&o!er%3enhan&ing &hemi&al that &an be produ&ed ithin the

     biorea&tor 

    /""uming a 9A &on!er"ion pro&e"" and e2pre""ing Vma2 a" a fra&tion of the re"er!oir pore !olume %ield"I

    f slug= ρo

     ρw

    π rm2

    S¿V  H 

     A C req

    *?+

    here f "lug i" the "lug "ize in re"er!oir pore !olume *PV+ and / i" the in1e&tion3ell "pa&ing.

    E-uation" *=+, *>+ and *?+ are the in3"itu &arbon "our&e &on!er"ion model".

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    *%/ N'tre&t S'00y M!"e

     Nutrient "uppl% to in3"itu rea&tor" of mi&robial "%"tem" are through the in1e&tion ater. Con"ider the finite a-ueou"

    "olubilit% of nutrient" hi&h ill lead to the &on&ept of limiting rea&tant H the fir"t "pe&ie" to be u"ed up a" fluid"

    mo!e through the biorea&tor. Con"ider that the a""umed kineti&" of the mi&robial "%"tem depend onl% on

    &on&entration" in the floing pha"e, and no di"per"ion, the e2tent of rea&tion at a gi!en po"ition ill depend onl% on

    the time re-uired for the fluid to mo!e from the rea&tor inlet *the ellbore+ to that po"ition. (en&e, the ma2imum

    e2tent of rea&tion ill be rea&hed hen the fluid arri!e" at the radial lo&ation, r lim, i" gi!en a"I

    lim ¿=[   −Q K 1

    πhφ(1−S¿)ln (1− M o,maxV  N  N o )]

    1/2

    r¿

    *F+

    5f N i" the rate3&ontrolling nutrient, a "imilar anal%"i" &an be &on"idered hen other rea&tant" are pre"ent in e2&e""

    hile the &on&entration of N depend" on the radial po"ition, r. 5n thi" &a"e, the amount of nutrient at a gi!en radial

    di"tan&e from the biorea&tor inlet *ellbore+ be&ome"I

     N t = N o exp[− K 1 πφh(1−S¿)Q   r2]*+

    E-. *+ i" the model for nutrient "uppl% to in3"itu rea&tor".

    *%1 I&-st' Gas Pr!"'ct!& M!"e

    Vi"&o"it% redu&tion through in3"itu ga" produ&tion enhan&e" mi"&ible di"pla&ement of the target oil. )a1or biogeni&

    ga"e" of intere"t are CO and C(> and nutrient "uppl% i" e""ential for their produ&tion.

    Pra&ti&al in3"itu generation of CO re-uire" an alternati!e e2ternal "our&e like a &arboh%drate or an alternati!e

    mi&robial me&hani"m that ab"tra&t" O2%gen from ater mole&ule". 5n3"itu generation of )ethane re-uire" no

    e2ternal "our&e material, unlike CO produ&tion. #in&e one kilogram of &rude oil &ontain" appro2imatel% .9kg (

    *h%drogen atom+, and if e a""ume that mi&robe" ere able to u"e that h%drogen &ompletel%, then >( *from C( >+

    ould &on"ume .F: g of (%drogen. Con"idering thi" limiting &on!er"ion effi&ien&%, e &an de!elop a

    relation"hip that e"tabli"he" a ma2imum "lug "ize in a manner "imilar to that obtained for other re&o!er%3enhan&ing

    &hemi&al" to gi!eI

    f gas=0.68π τ m

    2

     A

    S¿ ρo

     ρg

    *:+

    5f e &on"ider the anal%"i" of another in3"itu ga", other than C( > produ&tion, a""uming that the ga" produ&tion i"

     proportional to the nutrient &on"umption, e ha!eI

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    G =V  N  N o[1−exp(− K 1πφh(1−S¿)Q   r2)]*;+

    *%2 P!r!sty M!"e

    rom E-. *+, making the poro"it% K, the "ub1e&t of the formula,

    φ=  Q

     K 1 π r2h(1−S¿)

     ln ( N o N t  )*9+

    or poro"it% redu&tion due to pore plugging, e riteI

    φ!=φo(1−" )

    *99+

    here K i" the initial poro"it%, Ki i" the in"tantaneou" poro"it% and *9 3 # or  + i" the pore fra&tion o&&upied b% the

    "e""ile pha"e.

    #ub"tituting E-. *9+ for K in E-. *99+I

    φ!=  Q

     K 1 π r2

    h (1

    " −1) ln( N o N t )

    *9+

    *%3 Per+eabty M!",cat!& M!"e

    rom the fine" migration theor% of Ci!an et al 89=

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    *%4 Sat'rat!& a&" Rec!.ery M!"es

    /""ume the depo"ited bioma"" *"e""ile pha"e+ o&&upie" a portion of the pore "pa&e during the )EO pro&e"". 'he

    "aturation balan&e e-uation &an be ritten a"I

    So+Sw+Sg+" =1 *9?+

    )EO depend" on the produ&tion of metabolite", hen&e, it" re&o!er% &an be e2pre""ed a"I

    # S

    # S# S

    # S# S

    (¿¿o) ol$mer(¿¿ 0)surfa%tant +¿

    (¿¿ o)gas+¿(¿¿ o) lugg!ng+¿(¿¿ o) M&'(=¿

    ¿

    *9F+

    here Q#o i" the re"pe&ti!e in&remental oil re&o!er%.

    #in&e the "urfa&tant and pol%mer enhan&e the plugging and repre""uri"ation pro&e"" of )EO, E-. *9F+ &an be

    "implified thu"I

    # S

    # S# S

    (¿¿o)gas=f  (" ,C g)(¿¿ o) lugg!ng+¿(¿¿ o) M&'(=¿

    ¿

    *9+

    here i" the pore !olume fra&tion of the retained &ell bodie" and Cg i" the ga" &on&entration. 6ut here mi&robial

     plugging i" &on"idered to be dominant in the )EO pro&e"", E-. *9+ &an be ritten a"I

    #S

    (¿¿o) M&'(=f  (" )¿*9:+

    5f a linear relation"hip i" a""umed, it be&ome"

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    # S

    (¿¿ o) M&'(= )" ¿

    *9;+

    here R i" a &on"tant.

    5t i" e!ident from the e-uation that the additional oil re&o!er% due to the )EO pro&e"" i" proportional to the

     plugging !olume in the pore "pa&e b% &ell bodie".

    'he re&o!er% i" &al&ulated b% a""uming that,

    # S

    SS

    (¿¿ ¿) M&'((¿¿ ¿) &'(−¿

    (¿¿ o) M&'(=¿¿

    *+

    (oe!er, for the purpo"e of thi" ork, re&o!er% i" &al&ulated ba"ed on the relation"hip propo"ed beloI

    # S

    S" (¿¿ ¿) &'(

     (e%o*er$=(¿¿ o) M&'(=¿¿

    *9+

    /% Res'ts a&" Dsc'ss!&

    'he C00 program "our&e &ode i" the &ho"en "imulation program. 'he "imulator i" u"ed to te"t the "en"iti!it% of 

    )EO performan&e and de!elopment "trateg% to !ariation" in re"er!oir propertie" ithin a range of po""ible !alue".

    'he re"er!oir and mi&robial "%"tem &hara&teri"ti&" emplo%ed are gi!en in the table belo.

    Tabe *% e"er!oir and )i&robial #%"tem Chara&teri"ti&"

    Parameter Symbol Value Formula/Units

    ormation thi&kne"" ( = ft

    e"er!oir poro"it% S .? Volume fra&tion

    Permeabilit% 9>: mD

    e"idual oil "aturation #or  .=? Volume fra&tion

    5n1e&tion rate 9 64D4in1e&tor  

    Ga" Den"it% Tg :F.= g4m=

    Oil Den"it% To : g4m=

    ater Den"it% T 9 g4m=

    6iorea&tor e2tent r  m 9 ft

    e-uired &on&entration of 

     bioprodu&t C

    Cre- .9 )a"" fra&tion

    5n1e&ted &on&entration of No .? )a"" fra&tion

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    rate3&ontrolling nutrient N

    ea&tion3rate &on"tant  9 .9; da%39

    Carbon %ield V( .? )a"" of bioprodu&t

     produ&ed4ma"" of &arbon

    Con!er"ion effi&ien&% of 

     Nutrient N to produ&t C

    V N .? )a"" of bioprodu&t

     produ&ed4ma"" of nutrient

     N &on"umed#toi&hiometri& &oeffi&ient

    of &o3rea&tant )

    V) .9 )a"" of ) &on"umed4ma""

    of nutrient N &on"umed

    'he re"ult" of the "imulation and "en"iti!it% anal%"e" are a" follo".

    /%$ Res"e&ce T+e a&" B!react!r E5te&t

    'he table belo "ho" the relation"hip beteen the mi&robial re"iden&e time and the biorea&tor e2tent.

    Tabe /% Variation of e"iden&e time ith biorea&tor e2tent

    Radial extent of Bioreactor rm !ft" Residence time #res !day"

    9 .>:?

    .9;?

    = .>=:?

    > .:

    ? .99:?

    F .9??

    .=::?

    : .=9

    ; .=;>:?

    9 .>:?

    5t i" ob"er!ed that a" the mi&robial re"iden&e time in&rea"e", the biorea&tor e2tent in&rea"e". 'hi" i" true a" large

     biorea&tor e2tent ill re-uire high mi&robial re"iden&e time to en"ure the "ur!i!al of the mi&robe" ithin the rea&tor.

    'he relation"hip i" "hon graphi&all% belo.

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    > F : 9 9

    .9

    .

    .=

    .>

    .?

    .F

    adial E2tent of 6iorea&tor, rm *ft+

    e"iden&e time, re" *da%+

    F6're $% Variation of e"iden&e time ith di"tan&e

    5t i" ob"er!ed that a" the biorea&tor e2tent in&rea"e", the time taken b% the mi&robe" to migrate through it" e2tent

    in&rea"e".

    /%* React!& t+e a&" c!&ce&trat!&

    'he rate of mi&robial kineti&" depend" on the &on&entration of the in1e&ted nutrient". (igher &on&entration of 

    nutrient" ill re-uire loer rea&tion time. On the other hand, loer &on&entration of nutrient" ill take higher 

    rea&tion time. 'hi" i" illu"trated in the table and figure belo.

    Tabe 1. Variation of ea&tion time ith &on&entration

    $nitial Concentration of $n%ected nutrients!mass fraction"

    Reaction &ime &rxn !'r"

    .? F=.:?=

    .9 .:;;>>

    .9? 9.::F?

    . 9=.9F>

    .? 9.>9

    .= :.F>9;

    .=? .=??F=

    .> F.>99FF.>? ?.F:;

    .? ?.9>;

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    .9 . .= .> .? .F

    9

    =

    >

    ?

    F

    5nitial Con&entration of 5n1e&ted nutrient" *ma"" fra&tion+

    ea&tion 'ime, 'r2n *hr+

    F6're *% Variation of ea&tion time ith &on&entration

    5ndi&ation" from table > and figure "ho that the groth rate of mi&robe" in&rea"e" ith &on&entration, re"ulting in

    a de&rea"e in rea&tion time.

    /%/ S'6 s7e a&" I&8ect!& e s0ac&6

    'he "lug "ize in the re"er!oir pore !olume *PV+ that &an be produ&ed ithin the biorea&tor i" modeled b% E-. *?+. 5t

    !arie" in!er"el% ith the in1e&tion ell "pa&ing. 'hi" relation"hip i" further e2pre""ed in table ? and figure = belo.

    Tabe 2% Variation of "lug "ize ith in1e&tion ell "pa&ing

    $n%ection (ell s)acin* !+" Slu* si,e !Fslu*"

    >=?F .;F>

    :9 .>:9

    9=F: .=9>

    9>> .>9

    9: .9;:

    F9=F .9F

    =>; .9=

    =>:>: .9?

    =;> .99

    >=?F .;F>

    >;9F .:

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    9 = > ? F

    .9

    .9

    .9

    .9

    5n1e&tion ell "pa&ing */+

    #lug "ize *"lug+

    F6're /% Variation of "lug "ize ith in1e&tion ell "pa&ing

    5t i" al"o e!ident from the model that if other parameter" are &on"tant, the "lug "ize !arie" dire&tl% ith the re"idual

    oil "aturation and al"o ith the "-uare of the radial e2tent of the biorea&tor.

    /%1 N'tre&t s'00y a&" ra"a "sta&ce

     Nutrient "uppl% to in3"itu biorea&tor" of mi&robial "%"tem" are through the in1e&tion ater. E-. *+ i" the model for 

    nutrient "uppl% to in3"itu rea&tor". 5t gi!e" the amount of nutrient at a gi!en radial di"tan&e. 5t further "ho" that the

    nutrient re-uired for mi&robial a&ti!it% i" proportional to the poro"it% of the re"er!oir ro&k, if other parameter"

    remain &on"tant. Lo poro"it% ro&k re-uire" le"" nutrient and !i&e !er"a.

    'he in!er"e !ariation of amount of nutrient and radial di"tan&e i" &learl% "hon in table F and figure > a" follo".

    Tabe 3% Variation of nutrient ith radial di"tan&e

    Radial distance !ft"+mount of nutrient

    !-t"

    .?

    9 .>;;>

    .>;F

    = .>;>F

    > .>;=? .>:??;

    F .>;=:

    .>9>

    : .>F=;=

    ; .>?>;

    9 .>>>;

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    > F : 9 9

    .>

    .>

    .>

    .>

    .?

    .?.?

    .?

    .?

    .?

    .?

    adial di"tan&e *ft+

    /mount of Nutrient *Nt+

    F6're 1% Variation of amount of nutrient ith radial di"tan&e

    /%2 Gas s7e a&" I&8ect!& e s0ac&6

    'he ga" "ize in the re"er!oir PV i" modeled b% E-. *:+. 5t predi&t" an in!er"e relation"hip ith in1e&tion ell "pa&ing

    and a linear relation"hip ith the re"idual oil "aturation. 'he table and figure belo "ho the "imulation re"ult".

    Tabe 4% Variation of Ga" "ize in re"er!oir pore !olume a" a fun&tion of in1e&tion ell "pa&ing

    $n%ection (ell s)acin* !+" .as si,e !F*as"

    >=?F .9?9;

    :9 .F

    9=F: .?F

    9>> .=:

    9: .=>

    F9=F .?=

    =>; .9

    =>:>: .9;

    =;> .9F;

    >=?F .9?

    >;9F .9=:

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    9 = > ? F

    5n1e&tion ell "pa&ing */+

    Ga" "ize *ga"+

    F6're 2% Ga" "ize in e"er!oir Pore !olume a" a fun&tion of in1e&tion ell "pa&ing

    5t &an be "een that at loer in1e&tion ell "pa&ing, a higher ga" "ize ill be produ&ed ithin the biorea&tor, the

    &on!er"e of hi&h ould al"o be true.

    /%3 P!r!sty a&" A+!'&t !, N'tre&t

    'he amount of nutrient needed for mi&robial a&ti!it% in the re"er!oir !arie" ith the re"er!oir ro&k poro"it%. 5t ha"

     been e"tabli"hed that "in&e the mi&robial a&ti!it% take" pla&e in the pore" of the re"er!oir ro&k, the amount of 

    nutrient re-uired for effe&ti!e ino&ulation of the re"idual oil ill depend on the poro"it% of the re"er!oir ro&k. (igher 

     poro"it% ro&k ill re-uire higher amount of nutrient and loer poro"it% ro&k loer amount of nutrient. 'he re"ult" of 

    the "imulation pre"ented in table : and figure F are in agreement ith thi" argument.

    Tabe 9% Variation of Nutrient ith original and in"tantaneou" poro"itie"

    Ori*inal )orosity$nstantaneous

    )orosity+mount of nutrient

    !-t"

    .?

    .? .9=>F .>;;>

    .9 .?=:? .>;F

    .? .999? .>;>F

    .> .9?=: .>;=

    .F? .==F?> .>:??;

    .; .>:>F .>;=:

    .9? .F?;F .>9>

    .9F .:F9?> .>F=;=

    .? .9;=: .>?>;

    .? .9=>F9? .>>>;

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    0.04 0.05 0.05 0.05 0.05 0.05 0.05 0.05

    0

    0.05

    0.1

    0.15

    0.2

    0.25

    0.3

    Original poro"it% 5n"tantaneou" poro"it%

    /mount of Nutrient *Nt+

    Poro"it%

    F6're 3% Variation of amount off nutrient ith poro"it%

    /%4 Rec!.ery a&" Res"'a ! sat'rat!&

    5t ha" been "hon that re&o!er% i" dire&tl% proportional to the pore !olume fra&tion *i.e. &on&entration+ of the

    retained &ell bodie". 'hi" i" due to the fa&t that the re&o!er% ill depend on the e2tent to hi&h the mi&robe"

    ino&ulate the re"idual oil. 5t i" al"o true that "in&e re"idual oil i" a "our&e of &arbon *nutrient+ for the mi&robe", a high

    re"idual oil "aturation ill impl% high mi&robial a&ti!it% hi&h ill lead to higher rate of ino&ulation and

    "ub"e-uentl% higher re&o!er%. 'hi" i" illu"trated a" follo".

    Tabe :% e&o!er% a" a fun&tion of re"idual oil "aturation

    Residual oil saturation !Sor" Recovery !SMEOR"

    .? .>?

    .9 .;

    .9? .9?

    . .9F

    .? .9:?

    .= .9

    .=? .?

    .> .>

    .>? .>?

    .? .?

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    0 0.1 0.2 0.3 0.4 0.5 0.6

    0

    0.05

    0.1

    0.15

    0.2

    0.25

    0.3

    e"idual oil "aturation *#or+

    e&o!er% *#)EO+

    F6're 4% e&o!er% a" a fun&tion of e"idual oil #aturation

    /" e2pe&ted, a higher re"idual oil "aturation ould impl% more oil po""ibl% re&o!erable and &on"e-uentl%, if 

    "u&&e""ful, greater re&o!er% from )EO appli&ation.

    1% C!&c's!&

    'he modeling of the effe&t" of re"er!oir propertie" on )EO i" an important predi&ti!e tool for -uantitati!e anal%"i"

    of the re"er!oir4mi&robial "%"tem, a" ha" been pre"ented. 'o en"ure the be"t po""ible re"ult" from a )EO pro1e&t,

    four &on"ideration" are indi"pen"able H laborator% anal%"i" of the &rude, re"er!oir engineering "tudie", &orre&t

    determination of the mi&robial &ulture to be u"ed and proper implementation and monitoring of the in1e&tion pro&e"".

    /lthough )EO ill be effe&ti!e in almo"t an% re"er!oir "&enario, it i" ad!i"ed that onl% the be"t &andidate", a"determined b% the fa&tor" gi!en abo!e "hould be &on"idered for )EO.

    (oe!er, it i" re&ommended that further "tudie" in thi" re"pe&t in&orporate re"er!oir heterogeneit% in model"

     propo"ed.

    Ac;&!e"6e+e&t

    'he author" i"h to a&knoledge the immen"e &ontribution of Gift /nario&hi Emenike in thi" ork.

    Re,ere&ces