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Relevant bibliographies by topics / Rock mechanics – Mathematical models

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Academic literature on the topic 'Rock mechanics – Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 January 2023

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Journal articles on the topic "Rock mechanics – Mathematical models"

1

Zadhesh, Jamal, and Abbas Majdi. "MATHEMATICAL DETERMINATION OF ROCK JOINTS MORPHOLOGICAL PROFILE." Rudarsko-geološko-naftni zbornik 37, no. 5 (2022): 117–31. http://dx.doi.org/10.17794/rgn.2022.5.10.

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Determining the geometric or morphology and mechanical properties of joints and geomechanics of intact rock is a vitally important issue in predicting the behaviour of structures built inside or on rock masses. The joint morphology is significant because it affects the strength of the rock mass and controls the stability of the structures related to the rock masses. Until recently, joint morphology was introduced in a simple form which brought about models that are far from the inherent state of a rock joint. The work presented in this research introduces a new model to represent rock joint mo

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2

Petrakov, Dmitry, Kirill Kupavykh, and Artem Kupavykh. "The effect of fluid saturation on the elastic-plastic properties of oil reservoir rocks." Curved and Layered Structures 7, no. 1 (2020): 29–34. http://dx.doi.org/10.1515/cls-2020-0003.

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AbstractBackground: The success of planning geological and technical measures aimed at intensifying oil production is of high importance.Methodology: To increase the efficiency of operations aimed at oil recovery enhancement, it is necessary to use mathematical models of the rock mass deformation, taking into account the physical and mechanical properties of the rocks.Results: Currently, the application of these models is difficult due to a lack of data. As a result, the use of simpler models is resorted to, which is not always correct in the practical application of these models. This article

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3

Guzev, Mikhail, and Vladimir Makarov. "Principles of the non-Euclidian model application to the problem of dissipative mesocracking structures of highly compressed rock and massifs modelling." E3S Web of Conferences 56 (2018): 02001. http://dx.doi.org/10.1051/e3sconf/20185602001.

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New experimental results such as “zonal disintegration” around deep openings and “reversible deformations” of highly compressed rock samples cannot be described correctly from contemporary rock mechanics, which is based on the principals of classical Continuum Mechanics theory. A new approach to rock mechanics mathematical models consists of the application of non-Euclidian modelling to the problem of the description of anomalous experimental results. This leads to the formation of the “Geomechanics of Highly Compressed Rock and Rock Massifs” - a new branch of the existing theory of Geomechani

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Kononenko, Maksym, and Oleh Khomenko. "New theory for the rock mass destruction by blasting." Mining of Mineral Deposits 15, no. 2 (2021): 111–23. http://dx.doi.org/10.33271/mining15.02.111.

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Purpose. To develop a new theory for the rocks destruction by blasting using a description of the formation processes of zones with various mass state around the charging cavity. Methods. The new theory for the rock mass destruction by blasting has been developed based on the use of the well-known elasticity theory laws and the main provisions of the quasi-static-wave hypothesis about the mechanism of a solid medium destruction under the blasting action. The models of zones of crumpling, intensive fragmentation and fracturing that arise around the charging cavity in the rock mass during its bl

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ABETOV, Auez E., Abylay N. UZBEKOV, Nicolay N. GRIB, Andrey E. MELNIKOV, and Yury A. MALININ. "SPATIAL VARIABILITY OF PHYSICAL AND MECHANICAL PROPERTIES OF ROCK MASS IN CENTRAL KAZAKHSTAN." Periódico Tchê Química 17, no. 34 (2020): 718–26. http://dx.doi.org/10.52571/ptq.v17.n34.2020.742_p34_pgs_718_726.pdf.

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The efficiency and quality of drilling and blasting operations in the development of mineral deposits largely depend on the variability of the properties of the rock mass. With a detailed study of various geological objectsmineral deposits or structural elements of the earth’s crust of any order, up to a single layer or block, it is possible to create three-dimensional digital models. The article considers the possibility of spatial variability of rock mass properties in Central Kazakhstan by means of mathematical modeling using data from the drilling process control file of the Aquila system

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Xing, Guangchi, and Tieyuan Zhu. "A viscoelastic model for seismic attenuation using fractal mechanical networks." Geophysical Journal International 224, no. 3 (2020): 1658–69. http://dx.doi.org/10.1093/gji/ggaa549.

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SUMMARY Seismic attenuation (quantified by the quality factor Q) has a significant impact on the seismic waveforms, especially in the fluid-saturated rocks. This dissipative process can be phenomenologically represented by viscoelastic models. Previous seismological studies show that the Q value of Earth media exhibits a nearly frequency-independent behaviour (often referred to as constant-Q in literature) in the seismic frequency range. Such attenuation can be described by the mathematical Kjartansson constant-Q model, which lacks of a physical representation in the viscoelastic sense. Inspir

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7

Li, Changping, Longchen Duan, Songcheng Tan, Victor Chikhotkin, and Xiaohui Wang. "An Electro Breakdown Damage Model for Granite and Simulation of Deep Drilling by High-Voltage Electropulse Boring." Shock and Vibration 2019 (November 29, 2019): 1–12. http://dx.doi.org/10.1155/2019/7149680.

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Electropulse rock breaking has wide application prospects in hard rock drilling and ore breaking. At present, there are no suitable physical mathematical models that describe electropulse boring (EPB) processes under confining pressures. In this paper, a high-voltage electropulse breakdown damage model is established for granite, which includes three submodels. It considers electric field distortions inside the rock, and an electric field distribution coefficient is introduced in the electro-breakdown model. A shock-wave model is also constructed and solved. To simulate the heterogeneity of ro

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8

Deng, Wubing, and Igor B. Morozov. "Solid viscosity of fluid-saturated porous rock with squirt flows at seismic frequencies." GEOPHYSICS 81, no. 4 (2016): D395—D404. http://dx.doi.org/10.1190/geo2015-0406.1.

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We have developed a macroscopic model for a two-phase medium (solid porous rock frame plus saturating pore fluid) with squirt flows based on Lagrangian continuum mechanics. The model focuses on improved physics of rock deformation, including explicit differential equations in time domain, causality, linearity, frequency-independent parameters with clear physical meanings, and an absence of mathematical internal or memory variables. The approach shows that all existing squirt-flow models can be viewed as microscopic models of viscosity for solid rock. As in existing models, the pore space is di

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Li, Haoran, Ziheng Wang, Dekang Li, and Yajun Zhang. "Particle Flow Analysis of Macroscopic and Mesoscopic Failure Process of Salt Rock under High Temperature and Triaxial Stress." Geofluids 2021 (November 15, 2021): 1–15. http://dx.doi.org/10.1155/2021/8238002.

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In order to reveal the mechanism of thermal-induced deformation and fracture development of salt rock under high temperature, the particle flow program PFC2D was used to study the triaxial compression failure process of salt rocks under different temperatures; at the same time, a combination model of Burge and Linearpbond was proposed to simulate plastic deformation and heat conduction of salt rock. Finally, the simulation results were compared with the experimental results to verify the validity of the conclusion. The simulation results show that the elastic limit points of rock gradually des

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Deng, Wubing, and Igor B. Morozov. "Mechanical interpretation and generalization of the Cole-Cole model in viscoelasticity." GEOPHYSICS 83, no. 6 (2018): MR345—MR352. http://dx.doi.org/10.1190/geo2017-0821.1.

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The mechanical basis of the popular Cole-Cole rheological model in viscoelasticity is investigated by using Lagrangian mechanics with nonlinear energy dissipation. The Cole-Cole model is usually viewed as a convenient way to fit the observed frequency-dependent attenuation and velocity-dispersion spectra, but its time-domain and numerical formulations are complex and contradict standard physical principles. For example, time-domain modeling of Cole-Cole media requires special mathematical tools such as fractional derivatives, convolutional integrals, and/or memory variables. Nevertheless, we f

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Dissertations / Theses on the topic "Rock mechanics – Mathematical models"

1

Liu, Chi-hong, and 廖志航. "Base friction modelling of discontinuous rock masses." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B42577123.

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Li, Lian, and 李煉. "Microscopic study and numerical simulation of the failure process of granite." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31242005.

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Choi, Yam-ming Kelvin, and 蔡任明. "Use of block theory in tunnel stability analysis." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2006. http://hub.hku.hk/bib/B45014358.

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Henderson, Susan Jane. "Analysis of the long-term slope stability of waste-rock dumps /." Title page, table of contents and abstract only, 1992. http://web4.library.adelaide.edu.au/theses/09PH/09phh4972.pdf.

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Lock, Yick-bun, and 駱亦斌. "An examination of failure criteria for some common rocks in Hong Kong." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31213406.

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Reimnitz, Marc. "Shear-slip induced seismic activity in underground mines : a case study in Western Australia." University of Western Australia. School of Civil and Resource Engineering, 2004. http://theses.library.uwa.edu.au/adt-WU2004.0062.

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Mining induced seismic activity and rockbursting are critical concerns for many underground operations. Seismic activity may arise from the crushing of highly stressed volumes of rock around mine openings or from shear motion on planes of weakness. Shear-slip on major planes of weakness such as faults, shear zones and weak contacts has long been recognized as a dominant mode of failure in underground mines. In certain circumstances, it can generate large seismic events and induce substantial damage to mine openings. The Big Bell Gold mine began experiencing major seismic activity and resultant

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Bouteca, Maurice. "Fracturation hydraulique calcul de propagation d'une fracture induite dans un massif rocheux /." Grenoble 2 : ANRT, 1987. http://catalogue.bnf.fr/ark:/12148/cb37603363t.

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Warren, Paul A. "Mathematical models of 3-D ocular mechanics and control." Thesis, University of Sheffield, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.312221.

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Lee, M. E. M. "Mathematical models of the carding process." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249543.

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Carding is an essential pre-spinning process whereby masses of dirty tufted fibres are cleaned, disentangled and refined into a smooth coherent web. Research and development in this `low-technology' industry have hitherto depended on empirical evidence. In collaboration with the School of Textile Industries at the University of Leeds, a mathematical theory has been developed that describes the passage of fibres through the carding machine. The fibre dynamics in the carding machine are posed, modelled and simulated by three distinct physical problems: the journey of a single fibre, the extracti

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10

Moore, Matthew Richard. "New mathematical models for splash dynamics." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:c94ff7f2-296a-4f13-b04b-e9696eda9047.

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In this thesis, we derive, extend and generalise various aspects of impact theory and splash dynamics. Our methods throughout will involve isolating small parameters in our models, which we can utilise using the language of matched asymptotics. In Chapter 1 we briefly motivate the field of impact theory and outline the structure of the thesis. In Chapter 2, we give a detailed review of classical small-deadrise water entry, Wagner theory, in both two and three dimensions, highlighting the key results that we will use in our extensions of the theory. We study oblique water entry in Chapter 3, in

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Books on the topic "Rock mechanics – Mathematical models"

1

Fractals in rock mechanics. A. A. Balkema, 1993.

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2

U, Hunsche, ed. Time effects in rock mechanics. Wiley, 1998.

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3

V, Egorov P., Murashev V. I, and Grit͡s︡ko Gennadiĭ Ignatʹevich, eds. Strukturnye modeli gornogo massiva v mekhanizme geomekhanicheskikh prot͡s︡essov. "Nauka," Sibirskoe otd-nie, 1990.

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4

A, Mironov V. Vvedenie v distortnostʹ. Tverskoĭ gos. tekhn. universitet, 1994.

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5

E, Mirenkov V., and Oparin V. N, eds. Metody matematicheskogo modelirovanii͡a podzemnykh sooruzheniĭ. VO "Nauka", 1994.

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6

International Symposium on Numerical Models in Geomechanics. (2nd 1986 Ghent, Belgium). Numerical models in geomechanics: Proceedings of the International Symposium on Numerical Models in Geomechanics, Ghent, 31st March-4th April, 1986. Jackson, 1986.

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International Symposium on Numerical Models in Geomechanics. (10th 2007 Rhodes, Greece). Numerical models in geomechanics: Proceedings of the 10th International Symposium on Numerical Models in Geomechanics (NUMOG X), Rhodes, Greece, 25-27 April 2007. Edited by Pande G. N and Pietruszczak S. Taylor & Francis, 2007.

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8

Łydżba, Dariusz. Zastosowania metody asymptotycznej homogenizacji w mechanice gruntów i skał. Oficyna Wydawnicza Politechniki Wrocławskiej, 2002.

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9

Sharma, V. M. Distinct element modelling in geomechanics. Edited by Saxena K. R and Woods Richard D. A.A. Balkema, 1999.

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10

Discontinuity analysis for rock engineering. Chapman & Hall, 1993.

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Book chapters on the topic "Rock mechanics – Mathematical models"

1

Wittke, Walter. "Models of the Grain and Rock Mass Fabrics." In Rock Mechanics. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-88109-1_2.

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Chapelle, Dominique, and Klaus-Jürgen Bathe. "Shell Mathematical Models." In Computational Fluid and Solid Mechanics. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16408-8_4.

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Chapelle, Dominique, and Klaus-Jürgen Bathe. "Shell Mathematical Models." In Computational Fluid and Solid Mechanics. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05229-7_4.

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Kolymbas, Dimitrios. "Similarity in soil and rock mechanics." In Advanced Mathematical and Computational Geomechanics. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45079-5_6.

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Miara, Bernadette. "Mathematical Justifications of Plate Models." In Encyclopedia of Continuum Mechanics. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-53605-6_138-1.

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Miara, Bernadette. "Mathematical Justifications of Plate Models." In Encyclopedia of Continuum Mechanics. Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-55771-6_138.

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7

Zin, W. A., and R. F. M. Gomes. "Mathematical Models in Respiratory Mechanics." In Anaesthesia, Pain, Intensive Care and Emergency Medicine — A.P.I.C.E. Springer Milan, 1996. http://dx.doi.org/10.1007/978-88-470-2203-4_34.

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Serovajsky, Simon. "Mathematical models of fluid and gas mechanics." In Mathematical Modelling. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003035602-14.

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9

Surana, Karan S. "Thermodynamic Relations and Complete Mathematical Models." In Classical Continuum Mechanics, 2nd ed. CRC Press, 2021. http://dx.doi.org/10.1201/9781003105336-15.

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Bellomo, Nicola, Luigi Preziosi, and Antonio Romano. "Models and Mathematical Problems." In Mechanics and Dynamical Systems with Mathematica®. Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1338-3_2.

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Conference papers on the topic "Rock mechanics – Mathematical models"

1

Zhu, Zhaopeng, Xianzhi Song, Liang Han, et al. "Prediction Method of Cutting Settling Velocity in Gas-Liquid Two-Phase Flow Based on Multi-Gene Genetic Programming." In 56th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2022. http://dx.doi.org/10.56952/arma-2022-0977.

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ABSTRACT: The cuttings settling process becomes erratic in the complex gas-liquid mixture under gas kick, it is very difficult to accurately describe the migration process of cuttings. Meanwhile, the traditional empirical formula based on fitting experimental data is difficult to accurately predict the complex cuttings settlement. Neural network and other intelligent models with high prediction accuracy are difficult to be popularized and applied due to their black box properties. Multi-gene genetic programming can accurately describe complex nonlinear problems and automatically optimize the s

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2

Gravanis, E., E. Sarris, and S. Patruno. "A Simplified Hydro-Mechanical Model for Sanding from Hollow Cylinder Tests." In 56th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2022. http://dx.doi.org/10.56952/arma-2022-0854.

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ABSTRACT: Particles produced by the hydro-mechanical processes during sanding in hydrocarbon wells is a highly complex physical process. Sanding onset is influenced by a number of factors which include mechanical failure and hydrodynamic erosion. Over the years a number of mathematical and numerical models have been developed to describe the sand production process, involving sanding criteria or constitutive laws of mechanical or hydro-dynamical nature. In this work we propose a new simplified model working along the lines of the hydro-dynamical constitutive law of previous research works. The

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3

Manzhirov, Alexander V. "Mechanics of Growing Solids: New Track in Mechanical Engineering." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-36712.

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A vast majority of objects around us arise from some growth processes. Many natural phenomena such as growth of biological tissues, glaciers, blocks of sedimentary and volcanic rocks, and space objects may serve as examples. Similar processes determine specific features of many industrial processes which include crystal growth, laser deposition, melt solidification, electrolytic formation, pyrolytic deposition, polymerization and concreting technologies. Recent researches indicates that growing solids exhibit properties dramatically different from those of conventional solids, and the classica

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Reckmann, Hanno, Pushkar Jogi, and Christian Herbig. "Using Dynamics Measurements While Drilling to Detect Lithology Changes and to Model Drilling Dynamics." In ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2007. http://dx.doi.org/10.1115/omae2007-29710.

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As a result of bit-rock interaction, downhole weight-on-bit, downhole torque, instantaneous downhole rotational speed and bit motion (acceleration and rate of penetration) are directly affected by the formations being drilled. Since these measurements react differently to different lithologies, and assuming that drilling problems do not effect these measurements, any changes in the measurements in some way will reflect changes in the properties of the lithology. If, based on these measurements, the lithology is assumed to have certain properties, then it is possible to derive models for the in

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Adeyemi, Bamikole, Prashant Jadhawar, and Lateef Akanji. "Surface Complexation Modelling of Potential Determining Ions Sorption on Oil/Brine and Brine/Rock Interfaces." In SPE Nigeria Annual International Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/207128-ms.

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Abstract Previous studies on smart water effects have suggested wettability alteration as the most significant mechanism for additional oil recovery during smart water injection. Though many other mechanisms have been observed and proposed in several other studies, much more attention is paid to the detachment of oil films from rock surfaces. It is, however, clear from prevailing understanding that the activities at oil/brine interfaces might require as much attention as given to the brine/rock interfaces. This paper presents diffuse double layer surface complexation modelling of the adsorptio

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Cayeux, Eric, and Hans Joakim Skadsem. "Modelling of the Dynamic Behavior of the Power Transmission of an Automatic Small Scale Drilling Rig." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-62523.

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The automatization of the drilling process opens the opportunity to faster reactions in case of unexpected drilling conditions, therefore reducing the risk that a drilling incident escalates to a serious situation. It also allows to push the drilling performance to be as close as possible to the limits of drillability as a function of the varying drilling conditions. But to achieve high level of drilling process automation, it is necessary to have access to accurate mathematical models of the complex physical system that is composed of the drilling rig, the drill-string, the drilling fluid and

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Khramchenkov, M. G., E. M. Khramchenkov, and A. N. Garaeva. "MATHEMATICAL MODEL OF DEPOSITION/EROSION MECHANISM OF UNDERGROUND MIGRATION." In The Geological Evolution of the Water-Rock Interaction. Buryat Scientific Center of SB RAS Press, 2018. http://dx.doi.org/10.31554/978-5-7925-0536-0-2018-235-238.

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Chemmakh, Abderraouf. "Machine Learning Predictive Models to Estimate the UCS and Tensile Strength of Rocks in Bakken Field." In SPE Annual Technical Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/208623-stu.

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Abstract Uniaxial Compressive Strength (UCS) and Tensile Strength (TS) are among the essential rock parameters required and determined for rock mechanical studies in Petroleum Engineering. However, the determination of such parameters requires some laboratory experiments, which may be time-consuming and costly at the same time. In order to estimate these parameters efficiently and in a short period, some mathematical tools have been used by different researchers. When regression tools proved to give good results only in the limited range of data used, machine learning methods proved to be very

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Papamichos, E., I. Vardoulakis, and J. Sulem. "Generalized continuum models for borehole stability analysis." In Rock Mechanics in Petroleum Engineering. Society of Petroleum Engineers, 1994. http://dx.doi.org/10.2118/28025-ms.

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Vaziri, Hans, Yuing Xiao, and Ian Palmer. "Assessment Of Several Sand Prediction Models With Particular Reference To HPHT Wells." In SPE/ISRM Rock Mechanics Conference. Society of Petroleum Engineers, 2002. http://dx.doi.org/10.2118/78235-ms.

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Reports on the topic "Rock mechanics – Mathematical models"

1

Modlo, Yevhenii O., Serhiy O. Semerikov, Stanislav L. Bondarevskyi, Stanislav T. Tolmachev, Oksana M. Markova, and Pavlo P. Nechypurenko. Methods of using mobile Internet devices in the formation of the general scientific component of bachelor in electromechanics competency in modeling of technical objects. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/3677.

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An analysis of the experience of professional training bachelors of electromechanics in Ukraine and abroad made it possible to determine that one of the leading trends in its modernization is the synergistic integration of various engineering branches (mechanical, electrical, electronic engineering and automation) in mechatronics for the purpose of design, manufacture, operation and maintenance electromechanical equipment. Teaching mechatronics provides for the meaningful integration of various disciplines of professional and practical training bachelors of electromechanics based on the concep

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