Novel procedure for the estimation of swelling pressures of compacted bentonites based on diffuse double layer theory
Bentonite clays are proven to be attractive as buffer and backfill material in high-level nuclear waste repositories around the world. A quick estimation of swelling pressures of the compacted bentonites for different clay–water–electrolyte interactions is essential in the design of buffer and backf...
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Published in | Environmental earth sciences Vol. 70; no. 1; pp. 303 - 314 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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Berlin/Heidelberg
Springer-Verlag
01.09.2013
Springer Berlin Heidelberg Springer Springer Nature B.V |
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Abstract | Bentonite clays are proven to be attractive as buffer and backfill material in high-level nuclear waste repositories around the world. A quick estimation of swelling pressures of the compacted bentonites for different clay–water–electrolyte interactions is essential in the design of buffer and backfill materials. The theoretical studies on the swelling behavior of bentonites are based on diffuse double layer (DDL) theory. To establish theoretical relationship between void ratio and swelling pressure (e versus P), evaluation of elliptic integral and inverse analysis are unavoidable. In this paper, a novel procedure is presented to establish theoretical relationship of e versus P based on the Gouy–Chapman method. The proposed procedure establishes a unique relationship between electric potentials of interacting and non-interacting diffuse clay–water–electrolyte systems. A procedure is, thus, proposed to deduce the relation between swelling pressures and void ratio from the established relation between electric potentials. This approach is simple and alleviates the need for elliptic integral evaluation and also the inverse analysis. Further, application of the proposed approach to estimate swelling pressures of four compacted bentonites, for example, MX 80, Febex, Montigel and Kunigel V1, at different dry densities, shows that the method is very simple and predicts solutions with very good accuracy. Moreover, the proposed procedure provides continuous distributions of e versus P and thus it is computationally efficient when compared with the existing techniques. |
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AbstractList | Bentonite clays are proven to be attractive as buffer and backfill material in high-level nuclear waste repositories around the world. A quick estimation of swelling pressures of the compacted bentonites for different clay–water–electrolyte interactions is essential in the design of buffer and backfill materials. The theoretical studies on the swelling behavior of bentonites are based on diffuse double layer (DDL) theory. To establish theoretical relationship between void ratio and swelling pressure (
e
versus
P
), evaluation of elliptic integral and inverse analysis are unavoidable. In this paper, a novel procedure is presented to establish theoretical relationship of
e
versus
P
based on the Gouy–Chapman method. The proposed procedure establishes a unique relationship between electric potentials of interacting and non-interacting diffuse clay–water–electrolyte systems. A procedure is, thus, proposed to deduce the relation between swelling pressures and void ratio from the established relation between electric potentials. This approach is simple and alleviates the need for elliptic integral evaluation and also the inverse analysis. Further, application of the proposed approach to estimate swelling pressures of four compacted bentonites, for example, MX 80, Febex, Montigel and Kunigel V1, at different dry densities, shows that the method is very simple and predicts solutions with very good accuracy. Moreover, the proposed procedure provides continuous distributions of
e
versus
P
and thus it is computationally efficient when compared with the existing techniques. Bentonite clays are proven to be attractive as buffer and backfill material in high-level nuclear waste repositories around the world. A quick estimation of swelling pressures of the compacted bentonites for different clay–water–electrolyte interactions is essential in the design of buffer and backfill materials. The theoretical studies on the swelling behavior of bentonites are based on diffuse double layer (DDL) theory. To establish theoretical relationship between void ratio and swelling pressure (e versus P), evaluation of elliptic integral and inverse analysis are unavoidable. In this paper, a novel procedure is presented to establish theoretical relationship of e versus P based on the Gouy–Chapman method. The proposed procedure establishes a unique relationship between electric potentials of interacting and non-interacting diffuse clay–water–electrolyte systems. A procedure is, thus, proposed to deduce the relation between swelling pressures and void ratio from the established relation between electric potentials. This approach is simple and alleviates the need for elliptic integral evaluation and also the inverse analysis. Further, application of the proposed approach to estimate swelling pressures of four compacted bentonites, for example, MX 80, Febex, Montigel and Kunigel V1, at different dry densities, shows that the method is very simple and predicts solutions with very good accuracy. Moreover, the proposed procedure provides continuous distributions of e versus P and thus it is computationally efficient when compared with the existing techniques. Bentonite clays are proven to be attractive as buffer and backfill material in high-level nuclear waste repositories around the world. A quick estimation of swelling pressures of the compacted bentonites for different clay-water-electrolyte interactions is essential in the design of buffer and backfill materials. The theoretical studies on the swelling behavior of bentonites are based on diffuse double layer (DDL) theory. To establish theoretical relationship between void ratio and swelling pressure (e versus P), evaluation of elliptic integral and inverse analysis are unavoidable. In this paper, a novel procedure is presented to establish theoretical relationship of e versus P based on the Gouy-Chapman method. The proposed procedure establishes a unique relationship between electric potentials of interacting and non-interacting diffuse clay-water-electrolyte systems. A procedure is, thus, proposed to deduce the relation between swelling pressures and void ratio from the established relation between electric potentials. This approach is simple and alleviates the need for elliptic integral evaluation and also the inverse analysis. Further, application of the proposed approach to estimate swelling pressures of four compacted bentonites, for example, MX 80, Febex, Montigel and Kunigel V1, at different dry densities, shows that the method is very simple and predicts solutions with very good accuracy. Moreover, the proposed procedure provides continuous distributions of e versus P and thus it is computationally efficient when compared with the existing techniques.[PUBLICATION ABSTRACT] |
Author | Bharat, Tadikonda Venkata Allam, Mehter M Sivapullaiah, Puvvadi Venkata |
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Cites_doi | 10.1007/s12665-010-0838-2 10.1139/t92-123 10.1180/000985598545318 10.1016/j.jconhyd.2011.06.003 10.1051/jphystap:019100090045700 10.1029/2007WR006495 10.1080/14786440408634187 10.1680/geot.1956.6.2.86 10.1139/t03-096 10.1680/geot.1982.32.2.133 10.1016/0169-1317(89)90006-9 10.1201/9781482265675 10.1680/geot.2002.52.6.459 |
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Keywords | Diffuse double layer theory Bentonite clays Swelling pressures Gouy–Chapman method Gouy―Chapman method density accuracy bentonite swelling pressure high-level waste electrolytes pollution radioactive waste clay sedimentary rocks backfill theoretical studies theory clastic rocks |
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References | van OlphenHAn introduction to clay colloid chemistry1977New YorkInterscience Bharat TV (2004) Simplified methods of evaluation of diffuse double layer parameters employed in geotechnical engineering. M. Sc. Dissertation, Indian Institute of Science, India MitchellJKFundamentals of soil behavior1993New YorkWiley Schanz T, Tripathy S (2009) Swelling pressure of a divalent-rich bentonite: diffuse-double layer theory revisited. Wat res res 45(5) Müller-Vonmoos M, Kahr G (1982) Bereitstellung von bentonit fur laboruntersuchungen. Nagra Technischer Bericht. 82-04 TripathySSridharanASchanzTSwelling pressures of compacted bentonites from diffuse double layer theoryCan Geotech J20044143745010.1139/t03-096 SridharanAJayadevaMSDouble layer theory and compressibility of claysGeotech198232213314410.1680/geot.1982.32.2.133 Japan Nuclear Cycle Development Institute (1999) H12: project to establish the scientific and technical basis for HLW disposal in Japan: supporting report 2 (respiratory design and engineering Technology). Japan Nuclear Cycle Development Institute, Tokyo ENRESA (2000) FEBEX project—full scale engineered barriers experiments for a deep geological respiratory for high level radioactive waste in crystalline host rock. Final report, Publicación téechnica 4/2002, Empresa Nacional de Residuos Radiactivos SA (ENRESA), Madrid, Spain Overbeek JThG (1952) Electrochemistry of double layer and the interaction of colloidal particles. In: Kruyt HR (ed) Colloid science, vol 1. Elsevier, Amsterdam ZhengLSamperJMontenegroLA coupled THC model of the FEBEX in situ test with bentonite swelling and chemical and thermal osmosisJ Contam Hydrol20111261–2456010.1016/j.jconhyd.2011.06.003 Bucher F, Spiegel U (1984) Quelldruck von hochverdichteten bentoniten. Nagra Technischer Bericht. 84-18 GouyGSur la constitution de la charge electrique a la surface d’un electrolyteJ Phys Theor Appl Ser191049457468(in French) PuschRYongRMicrostructure of smectite clays and engineering performance2006New YorkTaylor and Fracis MadsenFTClay mineralogical investigations related to nuclear—wate disposalClay Min199833109129 SridharanAChoudhuryDSwelling pressure of sodium montmorillonitesGéotech200252645946210.1680/geot.2002.52.6.459 BoltGHPhysico-chemical analysis of the compressibility of pure claysGéotech195662869310.1680/geot.1956.6.2.86 YongRNMohamedAMOA study of particle interaction energies in wetting of unsaturated expansive claysCan Geotech J1992291060107010.1139/t92-123 ChapmanLAContribution to the theory of electrocapillarityPhil Mag Ser19136148475481 Ishikawa H, Amemiya K, Yusa Y, Sasaki N (1990) Comparison of fundamental properties of Japanese bentonite as buffer materials for waste disposal. In: VC Farmer, Y Tardy (eds) Proceedings of the 9th international clay conference, Strasbourg, 28 Aug–2 Sept 1989. Université de Strasbourg, Strasbourg, France, pp 107–115 GratchevITowhataICompressibility of natural soils subjected to long-term acidic contaminationEnviron Earth Sci20116419320010.1007/s12665-010-0838-2 VerweyEJWOverbeekJTGTheory of the stability of lyophobic colloids1948AmsterdamElsevier ButcherFMüller-VonmoosMBentonite as a containment barrier for the disposal of highly radioactive wasteAppl Clay Sci19894215717710.1016/0169-1317(89)90006-9 ENRESA (2002) Thermo-hydro-mechanical characterisation of a bentonite from Cabo de Gata—a study applied to the use of bentonite as sealing material in high level radioactive waste repositories. Publicación téechnica 4/2002, Empresa Nacional de Residuos Radiactivos SA (ENRESA), Madrid, Spain Bharat TV, Sivapullaiah PV, Allam MM (2008) Novel algorithm for estimation of swell pressure of fine grained soils based on diffuse double layer (DDL) theory. In: The 12th international conference of international association for computer methods and advances in geomechanics (IACMAG), 1–6 October, Goa, India A Sridharan (2128_CR17) 1982; 32 R Pusch (2128_CR14) 2006 I Gratchev (2128_CR9) 2011; 64 H Olphen van (2128_CR19) 1977 2128_CR10 2128_CR11 2128_CR13 2128_CR15 JK Mitchell (2128_CR12) 1993 RN Yong (2128_CR21) 1992; 29 GH Bolt (2128_CR3) 1956; 6 2128_CR2000 S Tripathy (2128_CR18) 2004; 41 L Zheng (2128_CR22) 2011; 126 A Sridharan (2128_CR16) 2002; 52 2128_CR1000 2128_CR8 2128_CR7 2128_CR6 2128_CR5 EJW Verwey (2128_CR20) 1948 2128_CR2 2128_CR1 F Butcher (2128_CR4) 1989; 4 2128_CR3000 |
References_xml | – reference: Overbeek JThG (1952) Electrochemistry of double layer and the interaction of colloidal particles. In: Kruyt HR (ed) Colloid science, vol 1. Elsevier, Amsterdam – reference: ButcherFMüller-VonmoosMBentonite as a containment barrier for the disposal of highly radioactive wasteAppl Clay Sci19894215717710.1016/0169-1317(89)90006-9 – reference: ENRESA (2002) Thermo-hydro-mechanical characterisation of a bentonite from Cabo de Gata—a study applied to the use of bentonite as sealing material in high level radioactive waste repositories. Publicación téechnica 4/2002, Empresa Nacional de Residuos Radiactivos SA (ENRESA), Madrid, Spain – reference: ZhengLSamperJMontenegroLA coupled THC model of the FEBEX in situ test with bentonite swelling and chemical and thermal osmosisJ Contam Hydrol20111261–2456010.1016/j.jconhyd.2011.06.003 – reference: TripathySSridharanASchanzTSwelling pressures of compacted bentonites from diffuse double layer theoryCan Geotech J20044143745010.1139/t03-096 – reference: YongRNMohamedAMOA study of particle interaction energies in wetting of unsaturated expansive claysCan Geotech J1992291060107010.1139/t92-123 – reference: MadsenFTClay mineralogical investigations related to nuclear—wate disposalClay Min199833109129 – reference: GouyGSur la constitution de la charge electrique a la surface d’un electrolyteJ Phys Theor Appl Ser191049457468(in French) – reference: GratchevITowhataICompressibility of natural soils subjected to long-term acidic contaminationEnviron Earth Sci20116419320010.1007/s12665-010-0838-2 – reference: Müller-Vonmoos M, Kahr G (1982) Bereitstellung von bentonit fur laboruntersuchungen. Nagra Technischer Bericht. 82-04 – reference: ENRESA (2000) FEBEX project—full scale engineered barriers experiments for a deep geological respiratory for high level radioactive waste in crystalline host rock. Final report, Publicación téechnica 4/2002, Empresa Nacional de Residuos Radiactivos SA (ENRESA), Madrid, Spain – reference: Ishikawa H, Amemiya K, Yusa Y, Sasaki N (1990) Comparison of fundamental properties of Japanese bentonite as buffer materials for waste disposal. In: VC Farmer, Y Tardy (eds) Proceedings of the 9th international clay conference, Strasbourg, 28 Aug–2 Sept 1989. Université de Strasbourg, Strasbourg, France, pp 107–115 – reference: Bharat TV, Sivapullaiah PV, Allam MM (2008) Novel algorithm for estimation of swell pressure of fine grained soils based on diffuse double layer (DDL) theory. In: The 12th international conference of international association for computer methods and advances in geomechanics (IACMAG), 1–6 October, Goa, India – reference: Bucher F, Spiegel U (1984) Quelldruck von hochverdichteten bentoniten. Nagra Technischer Bericht. 84-18 – reference: ChapmanLAContribution to the theory of electrocapillarityPhil Mag Ser19136148475481 – reference: Japan Nuclear Cycle Development Institute (1999) H12: project to establish the scientific and technical basis for HLW disposal in Japan: supporting report 2 (respiratory design and engineering Technology). Japan Nuclear Cycle Development Institute, Tokyo – reference: SridharanAJayadevaMSDouble layer theory and compressibility of claysGeotech198232213314410.1680/geot.1982.32.2.133 – reference: BoltGHPhysico-chemical analysis of the compressibility of pure claysGéotech195662869310.1680/geot.1956.6.2.86 – reference: Schanz T, Tripathy S (2009) Swelling pressure of a divalent-rich bentonite: diffuse-double layer theory revisited. Wat res res 45(5) – reference: VerweyEJWOverbeekJTGTheory of the stability of lyophobic colloids1948AmsterdamElsevier – reference: MitchellJKFundamentals of soil behavior1993New YorkWiley – reference: Bharat TV (2004) Simplified methods of evaluation of diffuse double layer parameters employed in geotechnical engineering. M. Sc. 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Snippet | Bentonite clays are proven to be attractive as buffer and backfill material in high-level nuclear waste repositories around the world. A quick estimation of... |
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SubjectTerms | Backfill Bentonite Biogeosciences Clay Compacting Diffusion Diffusion layers Double layer Earth and Environmental Science Earth Sciences Earth, ocean, space Electric potential Engineering and environment geology. Geothermics Environmental Science and Engineering Exact sciences and technology Geochemistry Geoengineering Geology Geotechnology hazardous waste Hydrology/Water Resources Original Article Pollution, environment geology Radioactive wastes Swelling swelling (materials) Terrestrial Pollution Void ratio |
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Title | Novel procedure for the estimation of swelling pressures of compacted bentonites based on diffuse double layer theory |
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