Permeability Variation and Fracture/Crack Effects in Concrete/Rocks based on Multi-laminate Model
الموضوعات : Analytical and Numerical Methods in Mechanical Design
1 - Department of Civil Engineering, QazvinBranch, Islamic Azad University Qazvin, Iran
الکلمات المفتاحية: Fracture-matrix-interaction, crack opening, damage model, multi-laminate framework, conductivity coefficient,
ملخص المقالة :
The permeability matrix of rock is a physical/mechanical characteristic that closely relates to the microstructure of this heterogeneous geomaterial, and the orientation of micro-cracks led to some naturally existing micro-cracks. Upon the effects of loading/unloading and high-temperature development, micro-cracks appear in critical zones of rock media that can effectively change the conductivity against gas or other fluids. Finally, macro cracks are generated and increase the porosity of the rock matrix on the distribution and geometrical arrangement. Consequently, the permeability becomes higher and depends on the stress/strain level of the rock body during loading/unloading and the passing fluidity interaction process. The influence of stress level and high temperature on rock's gas and water permeability has been studied in the literature. Fractured rock formations show vastly different properties, such as adsorption, etc., concerning permeability and storage capacity, thus giving rise to mass exchange processes between fractures and the surrounding matrix. This interaction between fracture and matrix impacts the flow and transport processes in the fractured subsurface, which can be observed on each scale considered for investigation purposes. The influence of fracture-matrix interaction has to be scrutinized upon the planned tests conforming to the natural condition when dealing with safety investigations or remediation possibilities. This paper shows some of the effects of fracture-matrix interaction and its geometry on groundwater flow in a saturated fractured rock/concrete media and the parameters describing those processes concerning different scales. A damage model concept contains fracture network generation, mesh generation, and appropriate discretization techniques based on presumed sampling between planes and polygons. The influence of a polygon matrix of finite porosity on the effective hydraulic conductivity tensor of a fractured system is illustrated by an example. In this research, we focus on determining the gas and water permeability of rock commonly used in transportation works, including loose/low strength and high strength/dense rock/concrete in interaction with pre-peak stress and damage level in post-peak behavior of rocks.
[1] Choinska, M., Khelidj, A., Chatzigeorgiou, G., & Pijaudier-Cabot, G. (2007). Effects and interactions of temperature and stress-level related damage on permeability of concrete. Cement and Concrete Research, 37(1), 79-88.
[2] Comi, C., Mariani, S., & Perego, U. (2007). An extended FE strategy for transition from continuum damage to mode I cohesive crack propagation. International Journal for Numerical and Analytical Methods in Geomechanics, 31(2), 213-238.
[3] Dagan, G. (2012). Flow and transport in porous formations. Springer Science & Business Media.
[4] Hearn, N. (1999). Effect of shrinkage and load-induced cracking on water permeability of concrete. Materials Journal, 96(2), 234-241.
[5] Hearn, N., & Lok, G. (1998). Measurement of permeability under uniaxial compression: a test method. Materials Journal, 95(6), 691-694.
[6] Hillerborg, A., Modéer, M., & Petersson, P. E. (1976). Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and concrete research, 6(6), 773-781.
[7] Labibzadeh, M., & Sadrnejad, S. A. (2006). Mesoscopic damage based model for plane concrete under static and dynamic loadings. American Journal of Applied Sciences, 3(9), 2011-2019.
[8] Larsson, R., Steinmann, P., & Runesson, K. (1999). Finite element embedded localization band for finite strain plasticity based on a regularized strong discontinuity. Mechanics of Cohesive‐frictional Materials: An International Journal on Experiments, Modelling and Computation of Materials and Structures, 4(2), 171-194.
[9] Long, J. C. (1983). Investigation of equivalent porous medium permeability in networks of discontinuous fractures. University of California, Berkeley.
[10] Oliver, J., Huespe, A. E., Pulido, M. D. G., & Chaves, E. (2002). From continuum mechanics to fracture mechanics: the strong discontinuity approach. Engineering fracture mechanics, 69(2), 113-136.
[11] Peerlings, R. H., de Borst, R., Brekelmans, W. M., & de Vree, J. (1996). Gradient enhanced damage for quasi‐brittle materials. International Journal for numerical methods in engineering, 39(19), 3391-3403.
[12] Peerlings, R. H., Geers, M. G., de Borst, R., & Brekelmans, W. (2001). A critical comparison of nonlocal and gradient-enhanced softening continua. International Journal of solids and Structures, 38(44-45), 7723-7746.
[13] Peyman, F. (2022). Investigation of Failure Mechanism in Earth Dam upon Triggered Liquefaction. Analytical and Numerical Methods in Mechanical Design, 1(2), 39-57.
[14] Peyman, F. (2022). Investigation of The Mechanism of Change of Concrete Modulus Matrix in Monotonic Loading and its Numerical Analysis. Analytical and Numerical Methods in Mechanical Design, 1(1), 73-89.
[15] Peyman, F. (2022). Numerical analysis of the behavior of undrained sands in monotonic loading based on standardization of experimental results. Asas Journal, 24(67).
[16] Peyman, F., & Sadrnejad, S. A. (2017). Liquefied Residual Strength of Undrained Sand upon A Parametric Approach to Hypo-elastic Model. Numerical Methods in Civil Engineering, 2(1), 49-60.
[17] Peyman, F., & Sadrnejad, S. A. (2018). Analysis of concrete crack growth based on micro‐plane model. Structural Concrete, 19(3), 930-945.
[18] Picandet, V., Khelidj, A., & Bastian, G. (2001). Effect of axial compressive damage on gas permeability of ordinary and high-performance concrete. Cement and concrete research, 31(11), 1525-1532.
[19] Pijaudier-Cabot, G. and Bazant, Z. (1987), “Nonlocal damage theory”, J. of Eng. Mech., 113, 1512-1533.
[20] Pijaudier-Cabot, G., & Jason, L. (2002). Continuum damage modelling and some computational issues. Revue française de genie civil, 6(6), 991-1017.
[21] Pijaudier-Cabot, G., Dufour, F., & Choinska, M. (2009). Permeability due to the increase of damage in concrete: From diffuse to localized damage distributions. Journal of engineering mechanics, 135(9), 1022-1028.
[22] Sadrnejad, S. A. (1992). Multilaminate elastoplastic model for granular media. International Journal of Engineering, 5(1), 11-24.
[23] Sadrnejad, S. A. (1992, June). Induced anisotropy prediction through plasticity. In Proceeding of international conference on engineering applications of mechanics (pp. 598-605).
[24] Sadrnejad, S. A. (2014). A constitutive model for shape memory alloys, visualizing internal deformability mechanism. In Construction Materials and Structures (pp. 1223-1232). IOS Press.
[25] Sadrnejad, S. A., & Labibzadeh, M. (2006). Dynamic solution code for structural analysis upon joint element. J. Comput. Sci, 2, 401-409.
[26] Sadrnejad, S. A., & PANDE, G. (1989). A MULTILAMINATE MODEL FOR SANDS. NUMERICAL MODELS IN GEOMECHANICS. NUMOG III. PROCEEDINGS OF THE 3RD INTERNATIONAL SYMPOSIUM HELD AT NIAGARA FALLS, CANADA, 8-11 MAY 1989. Publication of: Elsevier Applied Science Publishers Limited.
[27] Simo, J. C., Oliver, J. A. V. I. E. R., & Armero, F. (1993). An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids. Computational mechanics, 12(5), 277-296.
[28] Simone, A., Wells, G. N., & Sluys, L. J. (2003). From continuous to discontinuous failure in a gradient-enhanced continuum damage model. Computer Methods in Applied Mechanics and Engineering, 192(41-42), 4581-4607.
[29] Sugiyama, T., Bremner, T. W., & Holm, T. A. (1996). Effect of stress on gas permeability in concrete. Materials Journal, 93(5), 443-450.
[30] Wollrath, J. (1990). Ein Strömungs-und Transportmodell für klüftiges Gestein und Untersuchungen zu homogenen Ersatzsystemen (Doctoral dissertation, Inst. für Strömungsmechanik und Elektron. Rechnen im Bauwesen).