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7/24/2019 20688 Correlation of Scale Inhibitor Structure of Barium Sul
1/7
.
SPE 20688
SPE
ecfL%4JofF%doun Gv
Correlation of Scale Inhibitor Structure With Adsorption
Thermodynamics and Performance in Inhibition of Barium Sulfate
in Low-pH environments
P.J. Breen, Bat., r Performance Chemicals Inc.; B.N. Diel, Chemical Waste Management Inc.;
and H.H, Downs. Baker Performance Chemicals Inc.
SPE Member
n
Copyr ,ghl 1990. SocIe Iy of Powoleum Engmoors, Inc
Th,s paper was pr6pared tor presontatfion l the 65th Annue. Techn c 4 Conference and Exhlbmon ot lhc Somety ofPetrolaum Engmeer$ held m New Oljean% IA, September 23-26, 1990
Th ts paper was selec ted for p resenlahon by an SPE Prqram CommlMee fol lowlng rev iew of mtormahon con ta ined m en abs lr ac t subm,t ted by the au tho r(s) Coraents ot the pape r
as presented. have not bean rewawed by the Society of PeIro leum EnQmeer$ and are .W qecl to Corrochon by the aid her(s) The nlaterwl. M PreSented. 100s not necessari ly ret iec
any posmon otthe SocIe y of PeCroleum Engmaers, I IS ofhcers. or mambers Papers presented at SPE meetmgs are subject 10pubhcat ion rewew by Eddon,l CommWsas otme Society
of PoUoleum Engineers Permission tocopy laresfmc[o Oan abstra- t ofWI more than 300 words I lluswahona may not ba cop,ed The absl.ac l should Cc.1am conaplcuous acknowled
ment o f whe re and by whOi_I It hO pape r ISp resented . Wrle Pubhcauons Manage r, SPE , P .O Box 833836, R, *hardson , TX 75083 .3636 U S A Telex , .30989 SPi3AL
ABSTRACT
eXPERIMENTAL
In order to de 2(OP i nproved bari un sul fate
All i nhibi tors were
i nhi bi tors f or aci di c (pH 4) envi romnents, adsorpti on to check f or puri ty and
thermodynamccs heavebeen masured for severat
Bari un sul fate (pwder)
hrxnol ogous seri es of i nhi bi tors uherei n the mol ecul ar
Scienti fi c Products ad
structures have been vari ed systemat i ca( [Y.
Correlati ons betueen thermodynamc, structural ew
A.
Static Bott le Test
performance data H I t be di scussed.
prepared and characteri zed
ccarpl eteness of reacti on,
was purchased fromFisher
was used as recei veal ,
I NTRCWCTI ON
The di ff i cul t i es associated u,th the inhibi t i on oi
bsr iun su( fate ; c~ e in acidi c (PH 4)
environments Zfre
ue Li
docunwnted - . Thi s has been comnonl y attri twted
to the decreasing amount of ionized inhibi tw as the pH
is [o~er~s. Overcmng thi s prob[em is essent ial to
preventing scale format ion in certain North Sea oi I
f i elds, uhi ch tend to have acidi c format ion br iws wth
high (ea. 1000 ppn) tevel s of bariun.
We have measured scal e i nhi bi tor performance as a
functi on of systemati c changes i n structure, ari d
adsorpti on thcwnoclynamcs (on bori urt sul fate) in art
eff ort to devel op a more fl rdmnenta~understandi ng of
the mechani sms of scal e i nhi bi ti on. Our sttxi i es have
l nhi bi tc, performance uas eval uated i n a stati c
bott(e test. Syntheti c formati on and seti uater bri
used i n the test uere prepared based on uater ana(y
fromNorth Sea formati on bri ne and seawater. The
composit i ons of these brines are l i sted in Tab(e 1.
The formati on bri ne contai ned 730 mg/ L bari um on,
uhi Le the seawater contained 2650 wL sul fate
i on.
The test procedure involved pi aci ng the i nhi bi t
the formation brine, fol towd by PM adjustment uith
to the desired va(ue (usual l y 4.0). San@es were
equi ti bratad i n a water bath (85C) al ong ui th samp
of pH-adj ustM sea water bri ne. Upon teqw?aturc
equi I i brati on, the sea uater was addad to the forma
water/i nhi bi tor sampl es i n a 15:8S ML rati o.
Thi s
corresfwwds to a SOL
2- :Ba2+ rati o of apfwoxi matety
lad tc the deve
bari um su(f ate
ph 4 than any o
tested.
opnent of several new proprietary
The bott les were at~owd to stand in the bath at 85
nhi bi t ors whi ch are more ef fecti ve at overni ght ( approx. 17 hrs. ) . A~fwot $ uere taken a
the c-merci al product s uhi ch \ e have di l utad 75% i n dei oni zed uat er and i rm adi atel y
analyzed for resfdual bariun using Wait absorptio
spectroscopy. Fi (trat ion of the Sanp(ea through a
w f i(ter was observed to have no ef feet on measure
i eval s of bar un ion.
References and f i gurea et end of paper.
A va~ue of O% inhibi t i on uas taken to be the
711
7/24/2019 20688 Correlation of Scale Inhibitor Structure of Barium Sul
2/7
CORI (ELATIONOF SCALE l NHI BI TOR STRUCTURE UI TH ADSORP71W THERMl ~YNAMCS
2
AND PERFORMANCE IN .NHI BI TI ON OF BARI UN SULFATE IN I .WPM ENVI i WNHENTS
concentrateior (mg/L ot bsrlun in a % ankj sanpl e whi; h
contained no inhi j i tor . 100% inhibi t i on was taken to
be 621 mg/ 1 bari un.
Percent i nhibit i on for any given
i nhi bi tor sanpl e was ther cal cul ated accordi ng to
equati on 1.
(sar.$nl e- bl ank)
% Inhibi t i on =
. x 100
1
(621
- bl ank)
Seeded gronth bott(e tests Mere conducted as
descri bed above except ttrat 0.5 g of pwti ered bari un
sul fa*e Has t .kkd to the format ion brine prior to PH
adjustment.
B.
i nhi bi tor Adsorpti ti , Test
~~sorptionhermodyn mi s of state inhibi tors on
bsrim sul fate Mere determned according to the
fol( ow ny procedure. 20 mL of a 500 pgsnsol ution of
act ive inhibi tor in deionized uat : r were p~aced in a
test tube contei ni nS a precise~y uei gh~ amount (5-2Q)
of baritxnsulf ate. A BET surface anatysis reveal ed the
bariun sul fate to possess a surface area of 2.994 x 104
cm2/ g. The tube uas capped and vi gorousl y stskenat
regul ar i ntervals over the course of a day and a(l o~ed
to set overni ght.
Inhi bi tors uere at(oued to absorb at
roan temperature and at 85C in a water bath. The
tubes uere then centr i fuged for 1-2 mnutes. The clear
supernatant uas removed ar- dti r~e:xl for phosti onate
concentrati on, usi ng a Zr (I V)-arsenazo ti trati on
devetoped for thi s purpose.
Fol l oui ng the methods of Naono6, Mads uas
cal cul ated from
Gads
= -RTi n[(Ci f ) V/ gCfATl
(2)
Uhere ci=51313ppr?, Cf=f i na( phOSphOf%te concentrati on,
g=grams of bari un su(fate i n the tube, A=bari un sul fate
surface area pw gram T=mono(ayer thi ckness and V=voi -
una of solut ion. AHadS was cal culated from
T1T2 (n
cT2ci -cT2cTl
AH CR
ads
T1-T2
cTl ci - cT2cTl
uhcre CT, orti CT2 are the ffna( phosphonate
concentrati ons at temperatures T, and T2.
AS ads uas calculated frMaGads at i~ads using,
as ads = AH
adS-AGadS)/T .
(4)
Since ue have no info mst ion about t , the
monoi ayer thi ckness i n equati on 2, we have used for the
purpose of our ca~culat ions a value of 1X10-7 cm This
i s the va(ue gi ven by Naono6 for sodi um tri ~ yphosphate.
The nccuracy of this val ue shoul d have mnimal i mpact on
c~ usi ons ar~;i n~ from corrperisons of
AGadS
sim[ar types of inhibi tors. since t i s not ex
to vary si gni fi cantl y.
RESULTS ANO DI SCUSSION
Figure 1 is a p[ot of percent inhibi t i on
versus l og mo, ecul ar uei ght of a horm~gous se
phosphonete i nhi bi tors, for non-seeded condi ti
25 w of i nhi bi t or i n t he st at i c bot tl e t est.
i s al so i i st ed i n Tabl e 2. As can be seen i r ,
the performance goes thrcugh a maxi mun ui th re
mol ecul ar wei ght.
This effect most l i kely ref
d.angi ng edsorpti on characteri sti cs as nw e.~
i s vari ed.
Fi gure 2 i s a pl ot of l og mol ecul ar wei gh
same seri es of i nhi bi tors versus the me3sured
The data in Figure 2 i l lustrate that as molecu
i ncreases, &a4s beccmes i ncreasingl y negati ve
suggesting that adsorpti on i ncreases ui th i nc
mecular ueigh t l t o a poi nt . Such a resul
consiste).t w th l dti -sesvnental attachment; a
nei ght i ncr~ases, adsorpti on i ncreases and the
reversibi l i ty of the adsorption decreases, due
i ncreasing nurber of poi nts of attachment.
Co
t hi s t rend i s a decrease i n di f f usi on rat e wt
i ncreasi ng motecul ar uei ght, resul ti ng i n feue
col l i sions between i nhi bi tor and bari un sul fat
The result is that at hi gh mo(ecutar weight,
effi ci ency drops off, as demonstrated i n Figur
If the pri mary mechani sm OT scal e i nhi bi t
i nvo~ved the bl ockage of act:ve growth si tes
crystal surface, then i t brouldbe reasonabl e
correl at ion betueen~ads and percent inhibit i
correl ati on appears to be absent between Fi gu
ho~ever, since the mexi rnun i n these two fi gure
for di fferen: mecular uei ghts. An exce~~ent
occurs, however, betueen Fi gure 2 and Fi gure
a plot of percent inhibi t i on obtained for the
of i nhi bi tors under seeded grouth condi ti ons.
unseeded experi ment, bari um sul fete parti c(es
exceed a cr i t i cal si ze (~ t i cal nucteus) bef
thermodynamcal l y stabl e due to the unfavorab
chemcet potenti ai associ ated ui th surfac~ si
so(vated i ons.
A very sma(( crystat embryo h
rat io of sur face awns to tw~k atoms, so that
stage there i s an energy barri er to homogeneou
nucleat ion. I f stabie growh sites exist , ho
as on the ual l s of t he cont ai ner , or on t he s
relat ively Large crystat seeds, then there is
reducfxl energy barri er to crystal l i zati on.
U
I eterogcneous l
corn?iti ons. b(ockage o j rot i
expected to be the prl l i cpvmechani sm of i nhi b
tne good corrc[at i on betueer, _&ad~ i n Fi gure
Fercent inhibit i on in Fi gure 3 support thi s c
An addi ti onal mechani sm of i nhi bi ti on, o
7/24/2019 20688 Correlation of Scale Inhibitor Structure of Barium Sul
3/7
SPE20. 88
PATRi CK J . BREEN, BRUCE N. DI EL AND HARTLEY I f. OWNS
pro~sed by Naonod ,
can be used to expiain the
di ff erence i n the performance maximum for Fi gues 1 and
.
c. As i l l ust rat ed i n Tabl e 3, AHads i s gm ti ve
(endothermc adsorption) for a( 1 of .he i nhibitors
tested. Tni s mws that inhibi tor adsorpt ion ui l l
cnuse the chemcal potent ia( of sur fs@ & tes to be
even nme unf avora~(e, thereby rai sing the energy
barrier for further grouth needed to reach cri t icat
nucl eus si ze. Thus, endothermc adsorpti on i ncreases
the probsbi Ii ty that the embryo ui I I redi ssolve.
Si nce the msxirman in Figure 1 OC(WS at a lower
motecular ueigl , t than in Figure 2, i r a%ars that thi s
type of homogeneous contri buti on t, ) the mechani sm of
sca e inhibi t i on t s more i J ni f i cant for lower
mol ecul w wei gh: i nhi bi tor:.
The isoelectr ic point of bef iun sul fate uas
reported by Wl l i ams, et al . 8
to corre~pord to a pl l of
3.8, msaning th,at at PH 4.0 there i s a sl i ght excess of
cvera.( negati ve charge on the surface.
Thus, the
erdothermcity of the adsorption derives from
el ectrostati c repul s~-
xtueen the negati vel y charged
bsri un sul fate :, urfaceand the negati vel y chargd
functiona( groups of the i nhi bi tor motecute.
I n order for adsorpti on to be si %maneous
(energet i ca( \y favorabl e), the posi t ive& ads must be
over c~ by a Large posi t i ve &ads. The di ssoci at i on of
uater mol ecul es whi ch are hydrogen-bonded to the
inhi bi tor motecule, as the inhibitor adsorbs to the
bsr iun sul fate surface, can impart such a vaiue to
As.
I t i s i nt erest i ng t o not e t hat scal e
i r %ors ui t hASads < 16 caL;mol K (Tabt e 3) gi ve
poor performance in the stat ic btt (e test (Table 2).
The Loi iervalues for&ads presmab~y arise from the
smal l er hydrati on s~ere such i nhi bi tors possess
pri or to adsorpti on. The data sugges that
successful state i nhi bi tors shou~d possess structures
ui th mnimal hyti ophobi c content.
This conclusion
Has
al so reached by van der Leeden ard van Rosma[en i n a
publ i shed $tui y eval uati ng w ycarboxyl ate scal e
i nhi bi tors .
The percent inhibi t i on as a funct i cn of PH is
presented for severel di fferent inhi bitors i n Fi gure 4.
Most i nhi bi tors tested showed i n+roved i nhi bi ti on w th
i ncreasi ng pH. The i ncreased ioni zation, due to higher
pH, along w th an increased negative charge on the
bsri un sutfate embryss, shoutd resul t i n adsorpti on that
is more endothermc and therefore more (i kely to
destabi l i ze bsriun sul fate embryos, whi ch are smsl{er
than crit i cat nucl eus size. In spite of the increasingly
posit i veAHads - + ads coutd sti [( increase due to an
increasingl y posi t ive Asads arisin9 from the iar9er
hydrati on smere 9enerated by the added charge on the
i nhi bi tor.
Thi s i s exact(y what was observed uhen
ads ads
ad &ads were determned for i nhi bi tor
A at PH 8.0 (Tabte 2).
The adsorpti on curves i n Fi gure
5 for i nhi bi t or s A and
D
appear to be representati ve for
rwxt non-pel~ric scale inhibi tors.
H gher mo(ecul ai wei ght. ~ ymeric scale i nhibito
( t , G, and H in Figure 5) however , ah~ di f ferent
adsorpt ion behavior. Figure 5 i 1lustrates that at pH
5.5, the amount of aosorbed i nhi bi tor decreases ui th
imeasi~ natecu~ar we; ght whil e at < 4.0, adsorpt
aeema to i rwrease w th i ncreasi ng nmecul ar wei ght.
These trends al ao seem to corre.ate ui th data presente
in Fi gure 4, where (OWmol ecular uei ght i nhibitors (B
C; out~rform higher molecul ar weight inhi bi tors (E, I
and J ) at pH ~ 5. 5.
Li terature precedent exists which can ~ d in
expl ai ni ng t hese resui t s. Ui l l i sms et i~
. - .
observed
decrease i n the adsorpti on of sodi un carboxycel l ui ose
bsr iun sul fate as the pH uas rai sd, and at t ributed th
effect to increased charge den~ ty on the polymer at
higher pH which Leads to J bui l chp of charge near the
bari trnsul fate surface duc to msdsorbed pol yner
segments.
Thi s shi etdi ,~y charge hi l dtq then reps(s
other, si ml arty charged F~ yners away frcm the surfec
Thus, as pH i s rai sed, charge density of the po(ynwr
i ncreases and adsorpti on decreases.
Inhibi tors E, 1 md J represent a hcmogous ser i
wherei n the total nurber of phosF ~nate groups per
mol ecute i s steadi (y decreased, correspondi ng to a
decrease i n charge density. Fi gure 4 i l~ustrates that
as the nwber of phosphonate groups i s decreased
(E > I > J ) , the area of msximun per formance shi f t s t
hi gher PH. Thus i t a~ars t hat t here i s an opt ims(
charge densi ty for such i nhibi tors whi ch al( ows for t
greatest amount of adsorpti on, and whi ch an be
controt(sd by PH or degree of substi tuti on.
Our dots supports the hypothesis that two mechani
of sca(e inhibi t i on are operat ive: one lvoLving
endothermc adsorpti on resul ti ng i n di r,ol uti on of bs
sul fate embryos, and another i nvo(ving essenti al l y
i rreversi bl e
Wiymer
adsorpti on at the acti ve grouth
si tes Of bariun sulf ate nuclei
, r esul t i ng i n t hei r
biockage.
The fi rst mechani sm i s expected to be nwre
important for (OWmecular weight inhi bi tors si nce s
nw ecul es uoul d have di ffi cul ty b(ocki ng gro~th sites
si nce adsorpti on i s expected to be hi ghl y reversi bl e.
Endothermc adsorpti on i s not as essenti a( for pol ymer
i nhibitors si nce they can i rreversib~y adsorb to the
crysta( growth sites. The thermodynamc date in Table
supf .wrt such a statement:
Wyner i c i nhi bi t or s such
inhibi tors F, G and H tend to have Vatues Of ~Hads n
1200 cal / mol , uhereas sma[l motecul e i nhi bi tors such
A, L and N often have Va(ues for ~ad~ c~oser to 200
cal/ mol.
SUMMARY
Low nmecu(ar wei ght i nhi bi tors perform best i n
regions of relat ively high pH (z7) where they are
i onized to a greater extent. Polyneric i nhi bi tors,
especial l y pol ymeric phosphonates, are l l uety to show
performance maxims as a function of pH, due to
713
7/24/2019 20688 Correlation of Scale Inhibitor Structure of Barium Sul
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CORRELATION OF SCALE I NHI BI TOR STRUCTURE WTH ADSORPTION THERNCOYNAHICS
4
AND PERWRWNCE IN I NHI CI TION Of BARIUM SULFA , . . N LOU PH ENVIRONMENTS
el ectrostatic shiel di ng effects at the scale surface,
uhich are deperdent on tbe extent of ionizaticm
Eff estive l ow mol ecu(ar wei ght i nhi bi tors operate
by destebi l i zi r,gbari m su(fa:e txrbrycs through hi ghl y
endothermc adsorpti on, dri ven by fabu, abl e ent, -opy
condi ti ons ass~ci ated w th the rei ease upon aciso-pti on
of a Large nunber of waters of hydration.
i ydrophobic
secti ons are therefore undesi rab[e for good i nhi bi t i m
Increasing molecul ar weight :to a point) leads to better,
ard l ess reversibl e, sdswpti on:
a mechani sm i nvol vi ng
blockage of act ive grouth si tes is therefore inpl ied fcr
such i nhi bi tors.
For thi s reason, ~[ymeric inhibitors
are most l i kely to yie d good inhibi t i on in si tuat ions
uhere a signif icant nurber of nucl eating sites a[ready
exi st.
REFERENCES
1. G. R. Chesnut , G. D. Chappe Ll , D. H. Emnons, The
Devel opment of Scal e I nhi bi tors and I nhi bi tor
Eval uati on Techni ques for Carbon D oxi de EOR
Fl oods, Paper SPE 1A260, presented at the SPE
I, i ternat ional S~siun on O lf i eld Chemstry,
San Antoni o, Texas, 1987.
2.
E. R. McA, tney, A. E. A(exander, J . Col i oid Sci . ,
Vol . 13, p. 383, 1958.
3.
4.
5.
6.
7.
8.
9.
J . E. Ramsey, L. M Cenegy, A LalWriorY
Evacuati on of Bari un Sul fate Scal e Inhi bi tors
Lou pH for Use in Carbn D oxide [OR Floods, i
Paper S~E 14407, presented at the SPE Smual
Conference, Las Vegas, Nevada, 1W5.
D. u. Gr i f fi t hs, S. O. Rober ts, S. - T. Lt 1,
S
a
l) lnhibi t ion of Caicim S ~fate D hydrate CrYsta
Grouth by Phosphoric Aci ds - I nfl uence of
I nhi bi tor Structure and Sol uti on pH, Paper SPE
7862 presented at the SPE I nternati onal Symywsiu
on O l fi el d and Geothermal Chemstry, Houston,
Texas, 1979.
U. H. Leung, G. I i . Nanco( las, J . l norg. Nucl .
Chem,
vol. 40, p. 1871, 1978,
Ja-ono,H.
Butl.
Chem Sot . Jpn. , Vol . 40, p 11O
1967.
A. E. N elsen, Kinet ics of Precipi tat ion,
Pergamon Press: Oxford, London, 1964.
P. A. Ui l t i ams, R. Harrop, G. O. +hi l ( ips, Chem
Sot . Faraday Trans. 1. , Vol 78, p. 1733. 1982.
M C. wan der Leeden, G. P. van Rosmalen,
~ Inhibit i on of Bariun Sutfate Depait i or, by
Pol ycarboxy[ates of Vari ous Mol ecu(ar Structure
Paper SPE 17914, J ui y 1988.
7/24/2019 20688 Correlation of Scale Inhibitor Structure of Barium Sul
5/7
SW 206
Tabl e 1 -
Synthetic
Brine Compositions
.
Formation Brine
Seawater
Salt
NaCJ.
mu/L
65,520
Salt
NaCl
*3
.,
Bac12.2H20
1,300
Na2S04
3,919
Table 2 - Static Bottle Test Results
BaSO
t
Inhibition
Inhibl ora MW
Unseeded
Seeded
A
B
c
D
E
F
G
H
:
K
L
M
N
436
710
847
984
1,920
3,840
31,800
159,000
1,660
1,390
492
206
205
275
7
60
49
51
78
57
42
34
71
49 -
0
0
0
0
4
47
37
39
64
79
14
35
2
2
aA-H; homologous series, inc. MW.
E,I,J; homologous series, dec. charge
density.
K,L; typical commercial
phosphonate inhibitors. M,N; other
phosphonate inhibitors.
Table 3
- Thermodynamic Data for Adso~ption Onto BaS04
Inhibitor
AHadS Cal/i:ale ASad~ Cal/mOle~ AGad~ Cal/rnOle
A, pH 4
A, pH 8
B, pH 4
D, pH 4
E, pH 4
F, pH 4
G, pH 4
H, pH 4
I, pH 4
J, pH 4
K, pH 4
2061 t 20G
3139 ? 7
1243 k 663
951 t 162
1224 f 385
492 k 280
1031 t 467
1180 t 366
1866 k 247
1085 t 247
2025 i 240
19.9 5
0.9
24.8 Y 0.1
17.2 k 2.1
16.5 t 0.4
18.0 t 1.5
16.6 t 0.8
17.5 t 1.6
15.7 t 1.0
19.4 i 2.5
15.1 i 1*O
15.8 i 0.1
715
-3818 t 240
-4214 t 48
-3852 f 61
-3921 ? 57
-4112 2 252
-4423 k 151
-4163 t 62
-3468 2 66
-3876 ? 199
-34C0 i 335
-2656 t 250
7/24/2019 20688 Correlation of Scale Inhibitor Structure of Barium Sul
6/7
100
r
1
0
J
:.50
3.s0
4.50
5.50
10S MW
Figure 1. inhibition as a function of
MW for
unseeded condi ti ons.
1.s0
3.50
4.50
$.5e
Fi ure 3. inhibit on as a function of
MW for wedcd conditions.
z
R
> 41eo
1
3700
,,., ~.~
2. 0
3,50
4.5e
10S MW
Figure 2.
-,\GwdB on BsS04 as a function
MW. T=298 K.
80
60
-
40
1/=
20
0
r-l
.
80
O
40
20
m
MW-7
c
NW-84
33
Mw-l
1
MW-1
J
MW-1
o~-
2.5
3.5
4.3
5.5
6.5
7.5
QH
Figure 4. inhibition m a function of
PH. unseeded conditiotim.
&
/
/
v
/
Ssoo
1.0 2.0 3.0 4,0 $.0 6.0 7.0 8.0
-A
kAw.436
D
uw. n14
-P
UW-3,84Q
-+-- o
Mw-31,800
-H
MW-lj9,000
pH
Figuro 5.
-,jGadm a function of PH.
T=298 K.
716
7/24/2019 20688 Correlation of Scale Inhibitor Structure of Barium Sul
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t
CORRELATION OF SCALE I NHI BI TOR STRUCTURE WTH ADSORPTION Tti ERkiODYNAMCS
?
ANDPERFORMANCEIN I NHI BITONOF BARIUMSULFATEI NLOUf J HENVI RONMENTS
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concentrati on (mg/ L of bari umi n a btankl lsrxmptewhi ch
contai nedno fnhfbi tor. 100%inhi bi ti onwas takent o
be 621 mg/ t barf wn. Percent i rrhfbf tfonoranygfven
fnhfbi torsampl ewas thencal cul atedaccordi ngto
equati on1.
sample -
bl ank)
% I nhi bi ti on=
x 100
(1)
(621 - btank)
Seedei growthbott l etests Mere conductedas
descri bedaboveexcept that 0. 5 g of pouderedbarfum
sul f stewas adci adto the formatfonf>ri nepri or to pH
adjustmant.
B.
I nhi bi torAdsorpti onTest
Adsorpt i onthermodynamcsof scel e i nhi bi torson
bari umsul fatewere determ nedaccordi ngto the
f ol l ow ng procedure. 20 m of i ? 500 Mcol ut i on of
act ive fnhibi tor % defonized water ware placed in a
test tube contai ni ng a precisel y wei ghed mount (5-20g)
of bari umsul fate. A BET surf aceanal ystsr eveal edthe
ba fumsul fate topo$sess a surf aceareaof 2. 994x 10{
5
cmg. The tubewas cappedarw vigoroustyshakenat
regul ar i nterval sover thecourseof a day and al l owed
to aet overnight.
I nhfbf torswera al l owedto absorbat
roomtemperatureand at 85C i n a water bath. The
tubeswere then centri fugedfor 12mnutes. The cl ear
supernatantwas removedand ti tratedfor phosphonete
concentrati on,usi nga Zr (W-arsenezo ti brati on
deveiopedfor thi s purpose.
Fol l owngthemethodsof Naono6 ~ad~ was
cal cul ated
from
(2)Gads = RT1n[(Ci - CfW9CfTl
where Ci=500ppm Cf=f fm phosphonateoncentratt on~
g. gramsof barf~ sul fatei nt he tube, A=bari umsul f rNe
surf acearea par gram T=monol ayerthi cknessandV=vol-
ums of sol uti on. ~Hods W8S
cal cul atedl om
T1T2
cT2ci - cT2cTl
AHad~ ~R [n
. .
T, - T2
cTl ci - cT2cTl
uhereCT1 and CT2 are the f i nal phosphonate
concentrati onsat temperaturesT1 and T2.
&ada was cal cul etadf r0??lA6adsQnd4~Gd~ usf n9
ASods (~Had~
=& ads)/ T .
(4)
Si ncewe haveno i nformati onabout t, tha
monol ayer thi ckness i n equati on 2, wehaveusedfor the
purposeof our cal cul at i ons val ueof lx10-7 cm. Thi s
i a thevol ue gi venby Naono6for sodi umtri pol yphos~ato,
The accuracyof thi s va[ua shoul dhavemnfmal fmpact on
concl usi onsari ai ngf romc~ari sons of AGads for
sim tar typeaof fnf] fbft ors,i ncet i s not expected
to vary si gni fi cantl y.
RESULTSANDDI SCUSSION
Fi gure1 i s a pl ot of percent fnhi bft fonobtai ne
versus l ogmolecul arweight of ahomologousserfesof
phoaphonatei nhi bi tors,for non- sesdodcondi ti onaat
25 qxn of i nhi bi tori n the stati cbottl etest. The da
i s al so l i stedin Tabl e2. As can be seen fn the ffgu
the perf ormancegoes througha maxi nwmw th respectto
mol ecul arwei ght. Thfa ef fectmost l fkel yrefl ects
chengi ngadsorpti oncharacteri st i csas molecul arwefgh
i s vari ed.
Fi gure2 ia a
pl ot of l ogmol ecul erwei ght
for th
samegerfes of inhibitors versus the lnaaSUIWf ad5.
The data fn Fi gure2 i l l ustratethat as I rdecul arwefg
i ncreases @ads b@c~s i ncreasi ngl ynegati ve
suggesti ngthat adsorpti onincreases~i th i ncreasi ng
molecul arwei ght, up to a pofnt. Sucha resul t i s
consi stentw thrrdtf - se~mentalatt achment;as molecu
weight i ncreases,adsorpti oni ncreasesand the
reversi bi l i tyof the adsorpti ondecreasea,due to the
i ncreasi ngnw ber of pofnts of att achment. Counteri n
thi s trend i s a decreasei ndi ff usi onratewft h
i ncreasi ngmol ecul arweight, resul t i ngin fewer
col l i si onsbetween i nhi bi torand bari unsutf atenucl e
The resutt f s that at hfghmol ecul arwei ght, i nhi bi to
ef f i ci encydrops of f , as demonstratedfn Fi gures1 an
I f the prf marymechani smof scal e i nhi bi ti on
i nvol vedthe btockageof act vegrowth sft es on the
crystal surf ace, then i t wou(dbe reasonabl eto expec
corr el ati onbetween~ads atI dPerCent i nhi bi ti on. Su
corr el ati onappears to be absent betweenFfgures1 an
however, si nce themaxi mumi n thesetwo f i guresoccur
for di f ferentmol ecul arwei ghts. An excel l entmatch
occurs, howcvar, betweenFi gure2 and Fi gure3, whi ch
a pl ot of percent i nhi bi ti onobtei nedfor thesame se
of i nhi bi torsunder - growthcondftf ona.
In an
unseededexperi ment,bari umsul f ateparti cl esneed to
exceeda cri ti cal si ze (cri ti cal nucl aus)before thay
thermodynamcal l ytabl e7due to the unfavorabl e
cherni cotpotenti al associ atedw thsurf acesi tesvers
aol vatedi ons. A very smal l crystol embryohas a l ar
rati oof surf aceatoms to bul k atoms, so that at such
staaethere i s an energybarr i ar to hci ncganeous
nucl eati on. I f stabl egrowthsftes exfst, however, s
os on the wal l s of the contai ner,or on the surf aceo
rel ati vel yl argecrystat seeds, then there i s a great
reducadenergybarr i er to crystal l i zati on. Under suc
I l heterogenaousll condi ti ons, bl ockaga of growth sites
expected to be the primarymechani em of i nhi bi ti on, a
tha good corr elati onb@weeT~-&ad$ i n Fi gure2 and
percent i nhi bi ti oni n Fi gure3 support thi s concl usi
Anaddf ti onal mechani smof i nhfbf ti on,ori gi nal
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