3D FINITE ELEMENT MODEL FOR THERMO-POROMECHANICAL DEFORMATION IN SEDIMENTARY BASINS
DOI:
https://doi.org/10.26512/ripe.v2i21.21695Keywords:
Sedimentary basin. Thermo-poro-mechanics. Thermo-poro-elasto-visco-plasticity.Abstract
Sedimentary basins form when an appreciable amount of sediments are deposited along geological time and transformed into rock through natural phenomena known as diagenesis. Compaction of sediments, fluid and thermal flows are fundamental coupled processes in sedimentary basin modelling. Purely mechanical phenomena prevail in the upper layers involving pore fluid expulsion and rearrangement of solid particles, while chemomechanical compaction resulting from Intergranular Pressure-Solution (IPS) dominates for deeper burial as stress and temperature increase. The thermal evolution of the basin may substantially affect both processes as heat modifies fluid viscosity and physicochemical properties of minerals, thus affecting fluid flow and mineral stability. The aim of the present contribution is to provide a comprehensive 3D framework for constitutive and numerical modelling of thermo-poro-mechanical deformation during diagenesis. Purely mechanical and chemo-mechanical deformations are respectively modelled by means of poroplastic and poroviscoplastic models. The numerical simulations are performed through the finite element method with a shared memory multiprocessing interface. The sedimentary basin is modelled as a fully saturated thermo-poro-elasto-visco-plastic material undergoing large strains. Special attention is given to temperature effects on the deformation history of the basin.
Downloads
References
Abdulagatova, Z., Abdulagatov, I.M., Emirov, V.N., 2009. Effect of temperature and pressure on the thermal conductivity of sandtone. International Journal of Rock Mechanics & Mining Sciences, vol. 46, pp. 1055−1071.
Adachi, T.; Oka, F., 1982. Constitutive equations for normally consolidated clay based on elasto-viscoplasticity. Soils and Foundations, vol. 22, n. 4, pp. 57−70.
Barthélémy, J. F.; Dormieux, L.; Maghous, S., 2003. Micromechanical approach to the modelling of compaction at large strains. Computers and Geotechnics, vol. 30, pp. 321-338.
Bathe, K.J., 1996. Finite element procedures. Prentice-Hall.
Bernaud, D., Deudé, V., Dormieux, L., Maghous, S., Schmitt, D.P., 2002. Evolution of elastic properties in finite poroplasticity and finite element analysis. International Journal for Numerical and Analytical Methods in Geomechanics, vol. 26, pp. 845”“871.
Bernaud, D., Dormieux, L., Maghous, S., 2006. A constitutive and numerical model for mechanical compaction in sedimentary basins. Computers and Geotechnics, vol. 33, pp. 316”“329.
Bjorlykke, K., 2010. Petroleum geoscience: from sedimentary environments to rock physics. Springer: Berlin.
Brüch, A., Maghous, S., Ribeiro, F.L.B., Dormieux, L., 2016. A constitutive model for mechanical and chemo-mechanical compaction in sedimentary basins and finite element analysis. International Journal for Numerical and Analytical Methods in Geomechanics, DOI: 10.1002/nag.2530.
Chapman, B., Jost, G., Pas, R. van der, 2008. Using OpenMP: portable shared memory parallel programming. The MIT Press: Cambridge.
Coussy, O., 2004. Poromechanics. John Wiley & Sons Ltd: Chichester.
Deudé, V.; Dormieux, L.; Maghous, S.; Barthélémy, J. F.; Bernaud, D., 2004. Compaction process in sedimentary basins: the role of stiffness increase and hardening induced by large plastic strains. International Journal for Numerical and Analytical Methods in Geomechanics, vol. 28, pp. 1279-1303.
Dormieux, L., Maghous, S., 2000. Evolution of elastic properties in finite poroplasticity. C.R. Acad. Sci. Paris, vol. 328, n. IIb, pp. 593”“600.
Ferrero, C., Gallagher, K., 2002. Stochastic thermal history modelling. 1. Constraining heat flow histories and their uncertainty. Marine and Petroleum Geology, vol. 19, pp. 633”“648.
Hamilton, E.L., 1959. Thickness and consolidation of deep-sea sediments. Bulletin of the Geological Society of America, vol. 70, pp. 1399”“1424.
Hashin, Z., 1983. Analysis of composite materials - a survey. Journal of Applied Mechanics, vol. 50, pp. 481-505.
IAPWS, 1998. Revised release on the IAPS formulation 1985 for the thermal conductivity of ordinary water substance. Releases of the International Association for the Properties of Water and Steam.
Palumbo, F., Main, I.G., Zito, G., 1999. The thermal evolution of sedimentary basins and its effect on the maturation of hydrocarbons. Geophysical Journal International, vol. 139, pp. 248”“260.
Perzyna, P., 1966. Fundamental problems in viscoplasticity. Advances in Applied Mechanics, vol. 9, pp. 243”“277.
Saad, Y., 2003. Iterative Methods for Sparse Linear Systems. 2nd ed. Society for Industrial and Applied Mathematics: Philadelphia.
Schmidt, V., McDonald, D.A., 1979. The role of secondary porosity in the course of sandstone diagenesis. Aspects of Diagenesis, vol. 26, pp. 175”“207.
Schneider, F., Potdevin, J.L., Wolf, S., Faille, I., 1996. Mechanical and chemical compaction model for sedimentary basin simulators. Tectonophysics, vol. 263, pp. 307”“317.
Somerton, W.H., 1992. Developments in petroleum science V.37: thermal properties and temperature-related behavior of rock/fluid systems. Elsevier: Amsterdam.
Stransky, J., Vorel, J., Zeman, J., Sejnoha, M., 2011. Mori-Tanaka based estimates of effective thermal conductivity of various engineering materials. Micromachines, vol. 2, n. 2, pp. 129”“149.
Ulamec, S., Biele, J., Funke, O., Engelhardt, M., 2007. Access to glacial and subglacial environments in the Solar System by melting probe technology. Reviews in Environmental Science and Bio/Technology, vol. 6, pp. 71”“94.
Waples, D.W., Waples, J.S., 2004. A review and evaluation of specific heat capacities of rocks, minerals, and subsurface fluids. Part 1: minerals and nonporous rocks. Natural Resources Research, vol. 13, n. 2, pp. 97”“122.
Wood, D.M., 1990. Soil Behaviour and critical state soil mechanics. Cambridge University Press: Cambridge.
Yin, Z.Y., Hicher, P.Y., 2008. Identifying parameters controlling soil delayed behaviour from laboratory and in situ pressuremeter testing. International Journal for Numerical and Analytical Methods in Geomechanics, vol. 32, pp. 1515”“1535.
Downloads
Published
How to Cite
Issue
Section
License
Given the public access policy of the journal, the use of the published texts is free, with the obligation of recognizing the original authorship and the first publication in this journal. The authors of the published contributions are entirely and exclusively responsible for their contents.
1. The authors authorize the publication of the article in this journal.
2. The authors guarantee that the contribution is original, and take full responsibility for its content in case of impugnation by third parties.
3. The authors guarantee that the contribution is not under evaluation in another journal.
4. The authors keep the copyright and convey to the journal the right of first publication, the work being licensed under a Creative Commons Attribution License-BY.
5. The authors are allowed and stimulated to publicize and distribute their work on-line after the publication in the journal.
6. The authors of the approved works authorize the journal to distribute their content, after publication, for reproduction in content indexes, virtual libraries and similars.
7. The editors reserve the right to make adjustments to the text and to adequate the article to the editorial rules of the journal.
