Vai ai contenuti. | Spostati sulla navigazione | Spostati sulla ricerca | Vai al menu | Contatti | Accessibilità

| Crea un account

Colmenares, Jose B. (2015) Pore-scale modelling of electrical phenomena in porous media
with implications for induced polarization and self-potential methods.
[Tesi di dottorato]

Full text disponibile come:

[img]
Anteprima
Documento PDF (PhD thesis) - Versione preliminare (Draft)
1093Kb

Abstract (inglese)

In this dissertation theoretical and numerical models are proposed for the induced polarization (IP) phenomenon. The theoretical model takes into account the contribution of Stern layer and membrane polarization in variably saturated sandy soils, while the numerical model can be used to get insight into the origins of the membrane polarization mechanism. In this dissertation the frequency-dependent bulk electrical conductivity of the porous medium is calculated using the Hashin-Shtrickman Average model, which describes the dielectric response of variably saturated porous media. Both stern and membrane polarization can be calculated independently, which allows us to study the effect of different physical parameters to each one. The results show that membrane polarization can be obscured by the Maxwell-Wagner polarization. The model was tested against data from laboratory measurements of sands with variable saturation
and a good fit was obtained even though more work has to be done for low saturation levels. Then a numerical model is presented which uses the linearized Poisson-Boltzmann Equation to compute the electrostatic potential of an object in the presence of free ions. The solution is then used to calculate a the dielectric to be used on a numerical solver of Poisson’s equation to calculate the impedance of the system. This result corroborates the assumptions behind the Short Narrow Pore model, a simplified and yet effective model describing
membrane polarization. The methodology used requires a much lower computational effort than solving the Poisson-Nerst-Planck equation since there are no coupled systems.

Abstract (italiano)

In questa tesi sono proposti modelli teorici e numerici per il fenomeno di polarizzazione indotta (IP). Il modello teorico prende in considerazione il contributo della polarizzazione dello strato di Stern e di membrana in terreni sabbiosi di saturazione variabile, mentre il modello numerico può essere utilizzato per ottenere una migliore comprensione degli origini dal meccanismo della polarizzazione di membrana. La conducibilità elettrica del mezzo poroso dipendente dalla frequenza viene calcolata utilizzando il modello Hashin - Shtrickman, che descrive la risposta dielettrica di mezzi porosi con saturazione variabile. Sia la polarizzazione di Stern e di membrana possono essere calcolati indipendentemente, cosa che ci permette studiare l’effetto di diverse parametri fisici. I risultati mostrano che la polarizzazione di membrana può essere oscurato dalla polarizzazione Maxwell - Wagner. Il modello è stato testato contro dati da misure di laboratorio di sabbia con saturazione variabile con buoni risultati anche se più lavoro deve essere fatto per i livelli di bassa saturazione. Il modello numerico presentato utilizza la equazione linearizzata di Poisson - Boltzmann
per calcolare il potenziale elettrostatico di un oggetto in presenza di ioni liberi in soluzione. La soluzione viene quindi utilizzato per calcolare il dielettrico ad essere utilizzato su un risolutore numerico dell’equazione di Poisson per calcolare l’impedenza del sistema. Questo risultato avvalora le ipotesi alla base del modello short narrow pore, un modello semplificato ma efficace che descrive la polarizzazione di membrana. La metodologia utilizzata richiede uno sforzo computazionale molto inferiore che risolvere l’equazione di Poisson-Nerst-Planck poiché non esistono sistemi accoppiati.

Statistiche Download - Aggiungi a RefWorks
Tipo di EPrint:Tesi di dottorato
Relatore:Cassiani, Giorgio
Dottorato (corsi e scuole):Ciclo 26 > Scuole 26 > SCIENZE DELLA TERRA
Data di deposito della tesi:02 Febbraio 2015
Anno di Pubblicazione:02 Febbraio 2015
Parole chiave (italiano / inglese):porous media, induced polarization, impedance, conductivity
Settori scientifico-disciplinari MIUR:Area 04 - Scienze della terra > GEO/11 Geofisica applicata
Area 04 - Scienze della terra > GEO/10 Geofisica della terra solida
Struttura di riferimento:Dipartimenti > Dipartimento di Geoscienze
Codice ID:7961
Depositato il:17 Nov 2015 10:24
Simple Metadata
Full Metadata
EndNote Format

Bibliografia

I riferimenti della bibliografia possono essere cercati con Cerca la citazione di AIRE, copiando il titolo dell'articolo (o del libro) e la rivista (se presente) nei campi appositi di "Cerca la Citazione di AIRE".
Le url contenute in alcuni riferimenti sono raggiungibili cliccando sul link alla fine della citazione (Vai!) e tramite Google (Ricerca con Google). Il risultato dipende dalla formattazione della citazione.

[1] Binley A., Slater L., Fukes M., and Cassiani G. The relationship between spectral induced polarization and hydraulic properties of saturated and unsaturated sandstone. Water Resources Research, 41(12), 2005. Cerca con Google

[2] Bucker A. and Hordt A. Long and short narrow pore models for membrane polarization. Geophysics, 78, 2013. Cerca con Google

[3] Kemna A. Tomographic inversion of complex resistivity: Theory and applications. PhD thesis, Ruhr-University of Bochum., 2000. Cerca con Google

[4] Revil A. and Florsch N. Determination of permeability from spectral induced polarization data in granular media. Geophysical Journal International, 181:1480–1498, 2010. Cerca con Google

[5] A. Angulo-Sherman and H. Mercado-Uribe. Dielectric spectroscopy of water at low frequencies: The existence of an isopermitive point. Chemical Physics Letters, 503:327–330, 2011. Cerca con Google

[6] T.M.W.J. Bandara and B.-E. Mellander. Evaluation of Mobility, Diffusion Coefficient and Density of Charge Carriers in Ionic Liquids and Novel Electrolytes Based on a New Model for Dielectric Response, Ionic Liquids: Theory, Properties, New Approaches. Intech, 2011. Cerca con Google

[7] John O’M Bockris and Amulya KN Reddy. Modern Electrochemistry 2B: Electrodics in Chemistry, Engineering, Biology and Environmental Science, volume 2. Springer, 2000. Cerca con Google

[8] Y. Chen and D. Or. Effects of maxwell-wagner polarization on soil complex dielectric permittivity under variable temperature and electrical conductivity. Water Resour. Res., 42, 2006. Cerca con Google

[9] J. Colmenares, J. Ortiz, S. Decherchi, A. Fijany, and W. Rocchia. Solving the linearized poisson-boltzmann equation on gpus using cuda. In 21st Euromicro International Conference on Parallel, Distributed, and Network-Based processing. IEEE Computer Society, 2013. Cerca con Google

[10] P. Debye and E. Huckel. Zur theorie der elektrolyte. Physik. Zeits., 24, 1923. Cerca con Google

[11] Sergio Decherchi, Jose Colmenares, Chiara E. Catalano, Michela Spagnuolo, Emil Alexov, and Walter Rocchia. Between algorithm and model: different molecular surface definitions for the poisson-boltzmann based electrostatic characterization of biomolecules in solution. Commun. Comput. Phys., 13:61–89, 2012. Cerca con Google

[12] Marshall D.J and Madden T. K. Induced polarization, a study of its causes. Geophysics, 24:790–816, 1958. Cerca con Google

[13] DA Fridrikhsberg and MP. Sidorova. Issledovanie sviazi yavlenia vyzvannoi polarizatsii s electrokineticheskimi svoistvami kapillamyh sistem (a study of relationship between the induced polarization phenomenon and the electrokinetic properties of capillary systems). Vestnik Leningradskogo Universiteta. Seria Chimia, 4:222 – 226, 1961. Cerca con Google

[14] Cassiani G., Kemna A., Villa A., and Zimmermann E. Spectral induced polarization for the characterization of free-phase hydrocarbon contamination of sediments with low clay content. Near Surface Geophysics, 7:547–562, 2009. Cerca con Google

[15] C Gabriel, S Gabriel, and E Corthout. The dielectric properties of biological tissues: I. literature survey. Phys. Med. Biol., 41:2231–2249, 1996. Cerca con Google

[16] Pawel Grochowski and Joanna Trylska. Continuum molecular electrostatics, salt effects, and counterion binding–review of the poisson-boltzmann theory and its modifications. Biopolymers, 89:93–113, 2007. Cerca con Google

[17] B. Honig and A. Nicholls. Classical electrostatics in biology and chemistry. Science, 268:1144–1149, 1995. Cerca con Google

[18] Volkmann J. and Klitzsch N. Frequency-dependent electric properties of microscale rock models for frequencies from one millihertz to ten kilohertz. Vadose Zone J., 9:858–870, 2010. Cerca con Google

[19] Scott J.B.T. and Barker R.D. Determining pore-throat size in permotriassic sandstones from low-frequency electrical spectroscopy. Geophys. Res. Lett., 30, 2003. Cerca con Google

[20] D. Jougnot, A. Ghorbani, A. Revil, and P. Leroy. Spectral induced polarization of partially saturated clay-rocks: a mechanistic approach. Geophys. J. Int., 180:210–224, 2010. Cerca con Google

[21] Maria G. Kurnikova, Rob D. Coalson, Peter Graf, , and Abraham Nitzan. A lattice relaxation algorithm for three-dimensional poisson-nernst-planck theory with application to ion transport through the gramicidin a channel. Biophysical Journal, 76:642–656, 1999. Cerca con Google

[22] Chuan Li, Lin Li, Jie Zhang, and Emil Alexov. Highly efficient and exact method for parallelization of grid-based algorithms and its implementation in delphi. Journal of Computational Chemistry, 2012. Cerca con Google

[23] De Lima, OAL, and MM Sharma. A generalized maxwell-wagner theory for membrane polarization in shaly sands. Geophysics, 57, 1992. Cerca con Google

[24] Ali Mani, Thomas A. Zangle, and Juan G. Santiago. On the propagation of concentration polarization from microchannel-nanochannel interfaces parti: Analytical model and characteristic analysis. Langmuir, 25:3898–3908., 2009. Cerca con Google

[25] DJ. Marshall and TR. Madden. 1959 induced polarization, a study of its causes. Geophysics, 24.:790–816., 1959. Cerca con Google

[26] SS. Mohamed. Induced polarization, a method to study water-collecting properties of rocks. Geophysical Prospecting, 18, 1970. Cerca con Google

[27] Hiromu Monai, Masashi Inoue, Hiroyoshi Miyakawa, and Toru Aonishi. Low-frequency dielectric dispersion of brain tissue due to electrically long neurites. Phys. Rev. E, 86:061911, Dec 2012. Cerca con Google

[28] A. Nicholls and B. Honig. A rapid finite difference algorithm, utilizing successive over-relaxation to solve the poisson-boltzmann equation. Journal of Computational Chemistry, 12:435–445, 1991. Cerca con Google

[29] Leroy P. and Revil A. A mechanistic model for the spectral induced polarization of clay materials. J. geophys. Res. B: Solid Earth., 114, 2009. Cerca con Google

[30] Leroy P. and Revil A. Spectral induced polarization of clays and clay-rocks. J. geophys. Res., 114., 2009. Cerca con Google

[31] Leroy P., Revil A., Kemna A., and Cosenza P. Complex conductivity of water-saturated packs of glass beads. Journal of Colloid and Interface Science, 321:103–117., 2008. Cerca con Google

[32] Zheng Ql., Chen D., and Wei GW. Second-order poisson nernst-planck solver for ion channel transport. J Comput Phys., 230:5239–5262., 2011. Cerca con Google

[33] Walter Rocchia. Poisson-boltzmann equation boundary conditions for biological applications. Mathematical and Computer Modelling, pages 1109–1118, 2005. Cerca con Google

[34] Walter Rocchia, Emil Alexov, and Barry Honig. Extending the applicability of the nonlinear poisson-boltzmann equation: Multiple dielectric constants and multivalent ions. J. Phys. Chem. B, 105:6507–6514, 2001. Cerca con Google

[35] Walter Rocchia, Sridhar Sridharan, Anthony Nicholls, Emil Alexov, Alessandro Chiabrera, and Barry Honig. Rapid grid-based construction of the molecular surface for both molecules and geometric objects: Applications to the finite difference poisson-boltzmann method. Journal of Computational Chemistry, 23:128–137, 2002. Cerca con Google

[36] Lech Rusiniak. Electric properties of water. new experimental data in the 5 hz – 13 mhz frequency range. ACTA GEOPHYSICA POLONICA, 52(1), 2004. Cerca con Google

[37] Kruschwitz S., Binley A., Lesmes D., and Elshenawy A. Physical controls on low frequency electrical spectra of porous media. Geophysics, 75:WA113–WA123., 2010. Cerca con Google

[38] JM. Schurr. On the theory of the dielectric dispersion of spherical colloidal particles in electrolyte solution. Journal of Physical Chemistry, 68:2407–2413., 1964. Cerca con Google

[39] G. Schwarz. A theory of the low-frequency dielectric dispersion of colloidal particles in electrolyte solution. Journal of Physical Chemistry, 66:2636–2642, 1962. Cerca con Google

[40] K. Sharp and B. Honig. Electrostatic interactions in macromolecules: Theory and applications. Ann. Rev. Biophys. Biopys. Chem., 19:301–32, 1990. Cerca con Google

[41] Nikolay A. Simakov and Maria G. Kurnikova. Graphical processing unit accelerated poisson equation solver and its application for calculation of single ion potential in ion-channels. Molecular Based Mathematical Biology, 1:151–163, 2013. Cerca con Google

[42] J. Stoer and R. Bulirsch. Numerical Mathematics. Springer, 2002. Cerca con Google

[43] K. Titov, V. Komarov, V. Tarasov, and A. Levitski. Theoretical and experimental study of time domain induced polarization in water-saturated sands. Journal of Applied Geophysics, 50:417–433, 2002. Cerca con Google

[44] HJ. Vinegar and MH. Waxman. Induced polarization of shaly sands. Geophysics., 49:1267–1287., 1984. Cerca con Google

[45] J. Warwicker and H.C. Watson. Calculation of the electric potential in the active site cleft due to alpha-helix dipoles. Journal of Molecular Biology, 157(4):671 – 679, 1982. Cerca con Google

Download statistics

Solo per lo Staff dell Archivio: Modifica questo record