Engineering Mechanics of Materials

Geotechnical and Geomechanical Engineering

Description

This cluster of papers focuses on the study of wave propagation, rock mechanics, and geomechanical processes in block media. It includes research on seismicity induced by mining activities, modeling of elastic wave propagation, analysis of pendulum waves in stressed geomedia, and the performance of drilling equipment in rock stiffness. The cluster also covers topics such as hydraulic drilling, geomechanical assessment, and the influence of nonmetallic inclusions on percussive machine endurance.

Keywords

Wave Propagation; Rock Mechanics; Seismicity; Geomechanical Processes; Pendulum Waves; Mining Induced Seismicity; Hydraulic Drilling; Geomechanical Assessment; Elastic Wave Modeling; Block Media

The purpose of this paper is presentation of the results of a study concerning the accuracy of displacements caused by a single, harmonic, one-dimensional elastic wave propagating through a finite … The purpose of this paper is presentation of the results of a study concerning the accuracy of displacements caused by a single, harmonic, one-dimensional elastic wave propagating through a finite element mesh. Results are presented for the steady-state response of a finite model of the semi-infinite elastic constrained rod; both the homogeneous and two material cases were analyzed.
This book deals with the geotechnical aspects of the design of underground openings for mining and civil engineering purposes. It contains a number of worked examples to assist the reader … This book deals with the geotechnical aspects of the design of underground openings for mining and civil engineering purposes. It contains a number of worked examples to assist the reader in applying the techniques described to his or her own problems. The data are presented under the following chapter headings: (1) planning considerations; (2) classification of rock masses; (3) geological data collection; (4) graphical presentation of geological data; (5) stresses around underground excavations; (6) strength of rock and rock masses; (7) underground excavation failure mechanisms; (8) underground excavation support design; (9) rockbolts, shotcrete and mesh; (10) blasting in underground excavations; (11) instrumentation. Several appendices deal with: isometric drawing charts, stresses around single openings, two-dimensional boundary element stress analysis, determination of material constants, underground wedge analysis, and conversion factors. A very extensive bibliography is included.
Keywords: Methode des elements finis ; Sols non satures ; Consolidation Reference Record created on 2004-09-07, modified on 2016-08-08 Keywords: Methode des elements finis ; Sols non satures ; Consolidation Reference Record created on 2004-09-07, modified on 2016-08-08
Published papers indicate that most investigators use the coordinate transformation (x ut) in order to solve the equation tor dispersion of a moving fluid in porous media.Further, the boundary conditions … Published papers indicate that most investigators use the coordinate transformation (x ut) in order to solve the equation tor dispersion of a moving fluid in porous media.Further, the boundary conditions O=0 at x=«> and 0=00 at x= «> for Z>0 are used, which results in a symmetrical concentration distribution.This paper presents a solution of the differential equation that avoids this transformation, thus giving rise to an asymmetrical concentration distribution.It is then shown that this solution approaches that given by symmetrical boundary conditions, provided the dispersion coefficient D is small and the region near the source is not considered.
Stick-slip often accompanies frictional sliding in laboratory experi ments with geologic materials. Shallow focus earthquakes may represent stick slip during sliding along old or newly formed faults in the earth … Stick-slip often accompanies frictional sliding in laboratory experi ments with geologic materials. Shallow focus earthquakes may represent stick slip during sliding along old or newly formed faults in the earth In such a situation, observed stress drops repre sent release of a small fraction of the stress supported by the rock surround ing the earthquake focus.
The article deals with methods of measuring the volume, shape, and roundness of sedimentary quartz particles. The article deals with methods of measuring the volume, shape, and roundness of sedimentary quartz particles.
Direct shear experiments on ground surfaces of a granodiorite from Raymond, California, at normal stresses of ∼6 MPa demonstrate that competing time, displacement, and velocity effects control rock friction. It … Direct shear experiments on ground surfaces of a granodiorite from Raymond, California, at normal stresses of ∼6 MPa demonstrate that competing time, displacement, and velocity effects control rock friction. It is proposed that the strength of the population of points of contacts between sliding surfaces determines frictional strength and that the population of contacts changes continuously with displacements. Previous experiments demonstrate that the strength of the contacts increases with the age of the contacts. The present experiments establish that a characteristic displacement, proportional to surface roughness, is required to change the population of contacts. Hence during slip the average age of the points of contact and therefore frictional strength decrease as slip velocity increases. Displacement weakening and consequently the potential for unstable slip occur whenever displacement reduces the average age of the contacts. In addition to this velocity dependency, which arises from displacement dependency and time dependency, the experiments also show a competing but transient increase in friction whenever slip velocity increases. Creep of the sliding surface at stresses below that for steady state slip is also observed. Constitutive relationships are developed that permit quantitative simulation of the friction versus displacement data as a function of surface roughness and for different time and velocity histories. Unstable slip in experiments is controlled by these constitutive effects and by the stiffness of the experimental system. It is argued that analogous properties control earthquake instability.
Share Icon Share Twitter Facebook Reddit LinkedIn Reprints and Permissions Cite Icon Cite Search Site Citation W. M. Ewing, W. S. Jardetzky, F. Press, Arthur Beiser; Elastic Waves in Layered … Share Icon Share Twitter Facebook Reddit LinkedIn Reprints and Permissions Cite Icon Cite Search Site Citation W. M. Ewing, W. S. Jardetzky, F. Press, Arthur Beiser; Elastic Waves in Layered Media. Physics Today 1 December 1957; 10 (12): 27–28. https://doi.org/10.1063/1.3060203 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentPhysics Today Search Advanced Search
Experiments on the plastic deformation of single crystals, of metals and of rock salt have given results which differ in detail but possess certain common characteristics. In general the deformation … Experiments on the plastic deformation of single crystals, of metals and of rock salt have given results which differ in detail but possess certain common characteristics. In general the deformation of a single crystal in tension or compression consists of shear strain in which sheets of the crystal parallel to a crystal plane slip over one another, the direction of motion being some simple crystal-lographic axis. The measure of this strain, which will be represented by s , is the ration of the relative lateral movement of two parallel planes of slip to the distance between them. Thus it is defined in the same way as the shear strain considered in the theory of elasticity.
Research Article| August 01, 1988 Progress in understanding jointing over the past century DAVID D. POLLARD; DAVID D. POLLARD 1Departments of Applied Earth Sciences and Geology, Stanford University, Stanford, California … Research Article| August 01, 1988 Progress in understanding jointing over the past century DAVID D. POLLARD; DAVID D. POLLARD 1Departments of Applied Earth Sciences and Geology, Stanford University, Stanford, California 94305 Search for other works by this author on: GSW Google Scholar ATILLA AYDIN ATILLA AYDIN 2Department of Earth and Atmospheric Sciences, Purdue University, West Lafayette, Indiana 47907 Search for other works by this author on: GSW Google Scholar GSA Bulletin (1988) 100 (8): 1181–1204. https://doi.org/10.1130/0016-7606(1988)100<1181:PIUJOT>2.3.CO;2 Article history first online: 01 Jun 2017 Cite View This Citation Add to Citation Manager Share Icon Share Facebook Twitter LinkedIn MailTo Tools Icon Tools Get Permissions Search Site Citation DAVID D. POLLARD, ATILLA AYDIN; Progress in understanding jointing over the past century. GSA Bulletin 1988;; 100 (8): 1181–1204. doi: https://doi.org/10.1130/0016-7606(1988)100<1181:PIUJOT>2.3.CO;2 Download citation file: Ris (Zotero) Refmanager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentBy SocietyGSA Bulletin Search Advanced Search Abstract Joints are the most common result of brittle fracture of rock in the Earth's crust. They control the physiography of many spectacular landforms and play an important role in the transport of fluids. In its first century, the Geological Society of America Bulletin has published a significant number of papers on joints and jointing. One hundred years ago, there were lively debates in the literature about the origin of joints, and detailed descriptions of joints near the turn of the century catalogued most geometric features that we recognize on joints today. In the 1920s, theories relating joint orientation to the tectonic stress field and to other geologic structures led to a proliferation of data on the strike and dip of joints in different regions. The gathering of orientation data dominated work on joints for the next 50 yr. In the 1960s, key papers re-established the need to document surface textures, determine age relations, and measure relative displacements across joints in order to interpret their origins. At about this time, fundamental relationships from the fields of continuum and fracture mechanics were first used to understand the process of jointing. In the past two decades, we have witnessed an effort to use field data to interpret the kinematics of jointing and to understand the initiation, propagation, interaction, and termination of joints. Theoretical methods have been developed to study the evolution of joint sets and the mechanical response of a jointed rock mass to tectonic loading. Although many interesting problems remain to be explored, a sound conceptual and theoretical framework is now available to guide research into the next century. This content is PDF only. Please click on the PDF icon to access. First Page Preview Close Modal You do not have access to this content, please speak to your institutional administrator if you feel you should have access.
Research Article| October 01, 1937 Theory of scale models as applied to the study of geologic structures M. KING HUBBERT M. KING HUBBERT Search for other works by this author … Research Article| October 01, 1937 Theory of scale models as applied to the study of geologic structures M. KING HUBBERT M. KING HUBBERT Search for other works by this author on: GSW Google Scholar Author and Article Information M. KING HUBBERT Publisher: Geological Society of America Received: 01 Mar 1937 First Online: 02 Mar 2017 Online Issn: 1943-2674 Print Issn: 0016-7606 © 1937 Geological Society of America GSA Bulletin (1937) 48 (10): 1459–1520. https://doi.org/10.1130/GSAB-48-1459 Article history Received: 01 Mar 1937 First Online: 02 Mar 2017 Cite View This Citation Add to Citation Manager Share Icon Share Facebook Twitter LinkedIn MailTo Tools Icon Tools Get Permissions Search Site Citation M. KING HUBBERT; Theory of scale models as applied to the study of geologic structures. GSA Bulletin 1937;; 48 (10): 1459–1520. doi: https://doi.org/10.1130/GSAB-48-1459 Download citation file: Ris (Zotero) Refmanager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentBy SocietyGSA Bulletin Search Advanced Search Abstract INTRODUCTIONMany of the phenomena of physical science are simple enough and well enough understood that they are amenable to complete mathematical analysis without recourse to auxiliary experimentation. There are other phenomena, however, which, though being made up of well-understood simple systems, are so complicated as a whole as to render complete mathematical analysis difficult or impossible. The distribution of stress in a complicated machine part, or the flow of water in an irregularly shaped vessel, would constitute examples of the latter kind.When something must be known about one of these more complicated problems it is usual, whenever possible, to obtain the desired information empirically by direct experimentation. Often, however, the thing studied is too large to be experimented with. Or, as in the case of large engineering structures, the information on a bridge, dam, or building is needed in advance of designing the structure.Under these conditions, where . . . This content is PDF only. Please click on the PDF icon to access. First Page Preview Close Modal You do not have access to this content, please speak to your institutional administrator if you feel you should have access.
Preface. Introduction to the second edition. Introduction to the first edition. Part One: Rheology of Continua. 1. Continuum mechanics and rheology. 2. Stress, deformation and strain. 3. Elasticity. 4. Flow, … Preface. Introduction to the second edition. Introduction to the first edition. Part One: Rheology of Continua. 1. Continuum mechanics and rheology. 2. Stress, deformation and strain. 3. Elasticity. 4. Flow, strain rate and viscosity. 5. Strength, failure and plasticity. Part Two: The Continuum Approach to Earth Rheology. 6. The short timescale: seismological Earth models. 7. Temperature and heat transfer. 8. The long timescale: geodynamics and plate tectonics. Part Three: The Microphysical Approach to Earth Rheology. 9. The atomic basis of deformation. 10. Creep of polycrystals at high temperature and pressure. 11. Deformation maps and isomechanical groups. 12. Earth rheology from microphysics. References. Acknowledgements. Index.
With its combination of practicality, readability, and rigor that is characteristic of any truly authoritative reference and text, Fracture Mechanics: Fundamentals and Applications quickly established itself as the most comprehensive … With its combination of practicality, readability, and rigor that is characteristic of any truly authoritative reference and text, Fracture Mechanics: Fundamentals and Applications quickly established itself as the most comprehensive guide to fracture mechanics available. It has been adopted by more than 100 universities and embraced by thousands o
The purpose of this study is to assess the bearing capacity of drilling piles (BNS) of a continuous cross section with a diameter of 600 mm with the walls of … The purpose of this study is to assess the bearing capacity of drilling piles (BNS) of a continuous cross section with a diameter of 600 mm with the walls of wells fixed with inventory recoverable casing pipes at the construction site of the I.K. Aivazovsky International Airport in Simferopol. Static field tests of two BNS were carried out in accordance with the working draft and the requirements of the current regulatory documentation, and an analysis of the results was performed. Based on the conducted experimental studies, it was concluded that it is advisable to take into account the normative values of precipitation when determining the bearing capacity of piles on the ground. The results of field tests were compared with the calculated values determined in accordance with the recommendations of SP 24.13330.2011. It is noted that the load corresponding to the reference value should be taken as the criterion of the actual bearing capacity. The subject of the study: BNS of a solid section with a diameter of 600 mm with the walls of wells fixed with inventory recoverable casing pipes at the construction site of the I.K.Aivazovsky International Airport in Simferopol. Materials and methods: engineering and geological conditions of the construction site, design documentation for the foundation structures of the facility, the method of field testing of soils with piles has been implemented. Results: The measurement parameters of controlled pressure loads and displacements - sediment of the BNS are presented in tabular form and graphs using Excel software. Conclusions: The conducted field tests confirm the value of the calculated permissible load on the BNS, adopted at the design stage, which justifies the reliability and effectiveness of the constructive solution embedded in the project.
Under dynamic impact and blasting pressures, this investigation concentrates on the mechanical properties and failure mechanisms of soft coal-rock masses. The study follows a problem-methodology-results-application structure to systematically address these … Under dynamic impact and blasting pressures, this investigation concentrates on the mechanical properties and failure mechanisms of soft coal-rock masses. The study follows a problem-methodology-results-application structure to systematically address these engineering challenges. In Huainan, China, we employed a custom experimental apparatus and a Separate Hopkinson Pressure Bar (SHPB) to conduct dynamic experiments on materials from the C13-1 soft coal seam, as well as its roof and floor, for blasting simulations. According to the findings, the dynamic compressive strength of coal, floor strata, and roof strata increases as the impact pressure increases. More specifically, the maximal strengths of these materials were 23.3 MPa, 16.9 MPa, and 6.57 MPa, respectively. These values are 3.3, 2.9, and 3.9 times their static compressive strengths. Superimposed damage zones and an increased risk of gas outbursts are the result of stress waves propagating and reflecting within coal fissures, as indicated by blasting simulations. It is imperative to implement effective safety strategies, including structural reinforcement and controlled pyrotechnic use, in order to mitigate these risks. The results enhance our understanding of the multi-scale mechanical behavior of coal-rock systems and provide valuable insights for the advancement of safer mining practices.
V stat'e opisan mekhanizm obrazovaniya granul tekhnicheskogo ugleroda v protsesse granulirovaniya mokrym sposobom putem dobavleniya v pylyashchii tekhnicheskii uglerod spetsial'noi zhidkoi svyazuyushchei dobavki. Postavlena zadacha issledovaniya i obosnovana ego aktual'nost'. … V stat'e opisan mekhanizm obrazovaniya granul tekhnicheskogo ugleroda v protsesse granulirovaniya mokrym sposobom putem dobavleniya v pylyashchii tekhnicheskii uglerod spetsial'noi zhidkoi svyazuyushchei dobavki. Postavlena zadacha issledovaniya i obosnovana ego aktual'nost'. Privedeno opisanii konstruktsii laboratornoi granulyatsionnoi ustanovki vertikal'nogo tipa, sostoyashchei iz privoda, shtativa i korpusa. Osnovnym ehlementom korpusa yavlyaetsya val s ustanovlennymi na nem pal'tsami. Razrabotana metodika dlya provedeniya ehksperimenta. Predstavlen grafik zavisimosti nasypnoi plotnosti i moshchnosti ot vremeni protekaniya protsessa, na osnove kotorogo opredelena stadiinost' protsessa granulirovaniya: smachivanie pylyashchego tekhnicheskogo ugleroda, granulyatsionnyi perekhod, stadiya intensivnykh granulyatsionnykh izmenenii, stabilizatsiya granulyatsionnykh izmenenii. Kazhdaya iz ehtikh stadii v promyshlennykh granulyatorakh raspredelena po dline apparata i imeet razlichnye moshchnostnye kharakteristiki.
Постановка задачи. Существующие аналитические методы расчёты в силу допущений не позволяют объяснить эффект быстрого рассеивания порового давления в глинистом грунте ядра каменно-земляных плотин, который наблюдается в период строительства. Исследование этого … Постановка задачи. Существующие аналитические методы расчёты в силу допущений не позволяют объяснить эффект быстрого рассеивания порового давления в глинистом грунте ядра каменно-земляных плотин, который наблюдается в период строительства. Исследование этого эффекта выполнено путём совместного решения задачи о напряжённо-деформированном состоянии и задачи о фильтрационном режиме высокой плотины с помощью метода конечных элементов. Результаты. Расчёты позволили установить, что ускорение рассеивания порового давления происходит благодаря деформациям бокового расширения плотины. Эти деформации обеспечивают уменьшение объёмных деформаций уплотнения и, соответственно, порового давления. При этом поровое давление способствует деформациям бокового расширения плотины. Выводы. Процессы формирования напряжённо-деформированного состояния и порового давления взаимосвязаны, поэтому достоверно моделировать процесс консолидации грунта ядра каменно-земляной плотины можно только путём совместного решения статико-фильтрационной задачи. Statement of the problem. Analytical methods of analysis do not allow explaining the effect of fast dissipation of pore water pressure in clay cores of rockfill dams, which is observed during construction period. Research of this effect is accomplished by joint solving of the stress-strain state task and the problem of the seepage regime of a high dam using the finite-element method. Results. The analysis permitted establishing that acceleration or pore water pressure dissipation occurs due to deformations of the dam lateral expansion. These deformations provide decrease of volume deformations of compaction and, consequently, of pore pressure. Pore water pressure contributes to deformations of lateral expansion. Conclusion. The processes forming the stress-strain state and the pore pressure are interconnected, therefore, it is sufficient to simulate the process of the dam core soil consolidation only by joint solving of the static-seepage problem.
Engineering Visual Presentation E06 Tight radius drilling (TRD) technology presents a novel drilling technique to enhance productivity from shallow coal seams, particularly at depths where drainage from surface-to-inseam (SIS) wells … Engineering Visual Presentation E06 Tight radius drilling (TRD) technology presents a novel drilling technique to enhance productivity from shallow coal seams, particularly at depths where drainage from surface-to-inseam (SIS) wells is limited and hydraulic fractures propagate horizontally. The technology works by boring multiple horizontal laterals at varying angles into the coal seam perpendicular to the originating vertical well bore. The laterals propagate using a flexible hose and hydraulic jetting nozzle, and lateral progress is measured using the wired transmission. TRD can be deployed in mining or coal seam gas (CSG) environments, particularly in low-permeability, highly compartmentalised coals. Historically, TRD laterals in mining applications have penetrated up to 200 m and total lengths of ~1400 m from a single coal wellbore. This study reports historical measured results of created lateral lengths in two past successful applications, illustrating TRD’s benefits for mining applications in the Bowen Basin. These findings indicate that TRD could complement SIS technologies for CSG applications and compete with SIS wells in shallow, compartmentalised or low-permeability CSG reservoirs where increased surface area and broader areal extent are necessary to achieve a commercial rate. To access the Visual Presentation click on the link on the right. To read the full paper click here
The occurrence and development of exogeodynamic processes caused by liquefaction and fluidity of deposits that comprise the mine tailings dam may provoke emergency situations (breakthroughs). To prevent such situations, objects … The occurrence and development of exogeodynamic processes caused by liquefaction and fluidity of deposits that comprise the mine tailings dam may provoke emergency situations (breakthroughs). To prevent such situations, objects like these are covered by regular geomonitoring. The article presents the results of the study of the current state of the technogenic tailings dam deposits of the enrichment factory No.3 of the MPP (Mirny, Yakutia). Severe climatic, structural-geological and permafrost-hydrogeological conditions of the study area, as well as the thawed state of the technogenic strata (+0.5 to +3.1 °C) require to carry out a thorough control over the state of the dam in order to ensure its effective and safe operation. Studies of the material composition and properties of technogenic deposits were carried out based on the data on five drilled 31–58 m deep boreholes and sampling intervals. The granulometric and mineralogical compositions, as well as physical, physical-chemical and mechanical properties were determined according to standard methods using modern equipment (Analysette 22 NanoTec granulometric analyser, automated test complex ASIS). It has been found that the technogenic strata are layers of loose rock represented mainly by silty-clayey (sandy loam, loam and clay), less often by sandy material. Most of the clay varieties transform from solids to fluid-plastics. The most common lithological variety is silty loam, comprising ~40 % of the total volume sampled. The mineral composition of sediments is characterized by a high content of dolomite, calcite, quartz, serpentine and clay minerals. All clay deposits types have been found to have low strength (C=0.003–0.050 MPa, φ =3.9–15.7°) and high deformability (E=1.6–5.6 MPa). They also exhibit "dangerous" process-forming properties – plasticity, fluidity and flowability, which give rise to the development of exogenous geological processes (erosion, slumps, landslides, etc.), and consequently, influence the stability of the mine tailings dam.
The multiple-stage loading with reloading at EOP tests were carried out on two high-plasticity remoulded clays. One percentage of the initial value of an excess pore water pressure has been … The multiple-stage loading with reloading at EOP tests were carried out on two high-plasticity remoulded clays. One percentage of the initial value of an excess pore water pressure has been adopted as a reference for the end of the primary consolidation criterion. Based on the measurements of the settlement with time, six methods were used for determining the EOP parameters. For all studied consolidation curves, the primary consolidation time determined by settlement data was always smaller than those specified by dissipation data. All analysed cases have observed the lack of complete dissipation at the primary consolidation time determined by settlement data. The magnitude of remaining pore pressure at the primary consolidation time determined by various methods and the degree of additional settlement induced by remaining pore pressure at the primary consolidation time indicate an underestimation of EOP parameters when the interpretation of the test is based only on the analysis of sample settlement. Based on the average degree of consolidation imposed by the excess pore water pressure dissipation at primary consolidation time, the most similar time values at EOP to that determined using the excess pore water pressure dissipation criterion were obtained using the SRS, Casagrande and Slope methods.
This article considers the effect of constant and variable Poisson’s ratio on cracking in concrete and rock specimens under uniaxial compression using mechanical systems modeling methods. The article presents an … This article considers the effect of constant and variable Poisson’s ratio on cracking in concrete and rock specimens under uniaxial compression using mechanical systems modeling methods. The article presents an analysis of the data confirming the increase in Poisson’s ratio under specimen loading. A system of equations for modeling the effect of Poisson’s ratio on cracking under uniaxial compression is proposed. The comparison showed that the model with a constant Poisson’s ratio predicts a thickness of the surface layer with cracks that is underestimated by approximately 10%. In practice, this means that the model with a constant Poisson’s ratio underestimates the risk of failure. A technique for analyzing random deviations of Poisson’s ratio from the variable mathematical expectation is proposed. The comparison showed that the model with a variable Poisson’s ratio leads to results that are more cautious, i.e., it does not potentially overestimate the safety factor. The model predicts an increase in uniaxial compression strength when using external reinforcement. An equation is proposed for determining the required wall thickness of a conditional reinforcement shell depending on the axial compressive stress. The study contributes to understanding the potential vulnerability of load-bearing structures and makes a certain contribution to increasing their reliability.
The paper presents the results of experimental studies of the dynamics of an electromechanical perforator with a rotary impact mechanism. The aim of the study is to analyze the behavior … The paper presents the results of experimental studies of the dynamics of an electromechanical perforator with a rotary impact mechanism. The aim of the study is to analyze the behavior of the device in various operating modes, as well as to assess the influence of design parameters on its efficiency and productivity.To conduct experimental research, a methodology has been developed and tasks to be solved during experimental research have been formulated. As a result of experimental research, an experimental stand was created and a methodology for conducting research on the dynamics of an electromechanical perforator was developed. Also, based on the analysis of the results of experimental studies of the electromechanical perforator, targeted paths have been identified aimed at improving the designs of its main parts and units, improving the reliability and durability of the prototype perforator.
Soil structure interaction is often modeled by lumped parameter models, which consist of connected springs, masses, and dashpots. It was shown that this model – even for the case of … Soil structure interaction is often modeled by lumped parameter models, which consist of connected springs, masses, and dashpots. It was shown that this model – even for the case of elastic behavior – can be rather inaccurate since radiation damping is not properly represented. Pap and her coauthor suggested a simple model that overcomes this problem: a simple infinitely long bar on an elastic foundation connected parallelly to a mass-spring system. Since soil nonlinearity can affect the response considerably, even in the case of moderate seismicity, Pap’s model is extended in this paper for nonlinear soil behavior. As a result, the 3D nonlinear soil can be replaced by a simple beam resting on a foundation and connected parallelly to a mass-spring system. In addition to the three elastic properties, the level of plastification must be prescribed. This model is recommended for the practical modeling of soil-structure interaction when the nonlinearity of the soil is significant.
Matthew R. Kuhn | Computer Methods in Applied Mechanics and Engineering
Jiahao Wang , Li Shi , Hongxu Jin +2 more | International Journal for Numerical and Analytical Methods in Geomechanics
ABSTRACT Vacuum preloading combined with prefabricated vertical drains is commonly used for enhancing the high water content slurry. However, the process of slurry dewatering, which is inherently a filtration problem, … ABSTRACT Vacuum preloading combined with prefabricated vertical drains is commonly used for enhancing the high water content slurry. However, the process of slurry dewatering, which is inherently a filtration problem, is difficult to describe using consolidation theories. This study presents a new vacuum filtration theory for slurry based on the elliptical cylinder model, where the radial and vertical deformations are governed by the equal settlement assumption. To describe the permeability and compressibility of slurry, the extended power function equations are adopted. The governing equations associated with the influenced zone and the moving boundary are essential components of the vacuum filtration theory, which are solved by the finite difference method. The applicability of the theory is confirmed by comparing the results of it with the laboratory tests and the radial filtration theory. Depending on the properties of the slurry used in the laboratory tests, the filtration behaviour are analysed. Finally, parametric analysis is carried out to investigate the effect of vacuum pressure on the filtration behaviour of the slurry.
This article analyses the necessity of employing an interdisciplinary approach in the geotechnical practice of designing, constructing, and operating industrial hydraulic structures—tailings dams of processing plants. Tailings dam failures often … This article analyses the necessity of employing an interdisciplinary approach in the geotechnical practice of designing, constructing, and operating industrial hydraulic structures—tailings dams of processing plants. Tailings dam failures often lead to irreversible consequences for the ecological state of the environment. The interdisciplinary approach involves treating the foundation soils of structures and anthropogenic tailings deposits as a multicomponent system. In this system, soil acts as a medium hosting groundwater of varying compositions and contamination levels, containing biotic components and their metabolic products, including the gaseous phase. It has been demonstrated that the justified application of this approach increases the operational safety of existing structures and the long-term stability of starter and tailings dikes built on weak clay foundation soils. Particular emphasis is placed on the biotic component and the dual role of subsurface microorganisms. These bacteria negatively impact the strength and load-bearing capacity of water- and water–gas-saturated clay soils in the foundation of the structures under consideration. The diverse biocenosis in groundwater simultaneously facilitates self-purification from petroleum hydrocarbons to undetectable levels. This aspect holds fundamental importance, as groundwater discharges into river systems.
To address the critical challenges in characterizing the dynamic responses and identifying the instability precursors of sandstone under repetitive impacts, this study establishes a comprehensive experimental framework. Multi-gradient cyclic impact … To address the critical challenges in characterizing the dynamic responses and identifying the instability precursors of sandstone under repetitive impacts, this study establishes a comprehensive experimental framework. Multi-gradient cyclic impact testing (50-160 cm drop heights) was implemented to simultaneously monitor the dynamic mechanical responses and acoustic emission (AE) signals. Through an integrated analysis of the impact mechanical parameters, power-law statistics of the AE absolute energy, damage stage classification, and b-value/S-value correlation, we reveal the intrinsic relationship between the impact rate, damage progression, and instability precursors. The experimental results demonstrate the following: (1) exponential relationships exist between the impact height and both the peak impact force and time-to-peak in sandstone; (2) under moderate strain rates, the absolute energy probability density of acoustic emissions follows a power-law distribution, with the power-law index correlating with the impact height under equivalent impact cycles; (3) damage evolution manifests through three characteristic stages, showing a negative linear correlation between the bmin values and impact rate; and (4) damage instability exhibits coupled precursors featuring a synchronous b-value surge and S-value collapse. The developed b-S dual-parameter criterion enables precise identification of damage acceleration thresholds. These findings provide new laboratory evidence for dynamic disaster monitoring in rock engineering applications.
Актуальность работы. Задачи теории упругости и математической физики для тел с разрезами нулевой толщины вызывают интерес в связи с многочисленными приложениями, в том числе в геофизике и сейсмологии. Круг геофизических … Актуальность работы. Задачи теории упругости и математической физики для тел с разрезами нулевой толщины вызывают интерес в связи с многочисленными приложениями, в том числе в геофизике и сейсмологии. Круг геофизических задач, решаемых с использованием математических моделей деформируемых сред, содержащих дефекты типа трещин, очень широк. В сейсморазведке применение таких моделей позволяет учитывать наличие неоднородностей, что дает возможность повысить точность интерпретации натурных экспериментов. Интенсивно развиваемые методы моделирования динамических процессов в системах, включающих основания с расслоениями, находят применение при решении актуальных проблем виброзондирования слоистых геологических пород, нефтедобычи и пр. При этом решение прямых задач расчета волновых полей, возбуждаемых внутренними источниками в деформируемой среде, является неизбежным этапом решения задач обнаружения и идентификации скрытых неоднородностей. Цель работы – развитие полуаналитических методов решения задач для слоистых структур, содержащих внутренние трещины. Методы исследования. В качестве уравнений движения сплошной среды приняты уравнения Ламе в перемещениях, поставлена граничная задача с разрывными граничными условиями в области дефектов. Метод блочного элемента использован для построения порождаемой задачей системы интегральных уравнений, для решения последних использован метод фиктивного поглощения. Результаты работы. Представлен полуаналитический метод исследования вызывающих особый интерес локализационных и резонансных эффектов, связанных со спектральными свойствами задач для слоистых структур с трещинами Relevance. The problems of elasticity theory and mathematical physics for bodies with zero-thickness cuts present a great interest and have numerous applications, including those in geophysics and seismology. The spectrum of geophysical problems solved using mathematical models of deformable media containing defects such as cracks is very broad. In seismic exploration, the use of such models allows us to take into account the presence of heterogeneities, which makes it possible to increase the accuracy of the field experiments interpretation. Intensively developed methods for modeling dynamic processes in systems including foundations with discontinuities are used to solve topical problems in vibration sounding of layered geological formations, oil extraction, etc. At the same time, the solution of direct problems of calculating wave fields excited by internal sources in a deformable medium is an inevitable stage in solving problems of detecting and identifying hidden inhomogeneities. Aim. The aim of the work is to develop semi-analytical methods for solving problems for layered structures containing internal cracks. Methods. As equations for motion of a continuous medium we have adopted Lame equations in displacements and formulated boundary problem with discontinuous boundary conditions in the defect area. The block element method has been used to construct the system of integral equations for the problem, and the fictitious absorption method has been used to solve the latter. Results. A semi-analytical method is presented for studying localization and resonance effects of particular interest, associated with the spectral properties of problems for layered structures with cracks
Исследование направлено на изучение с применением современных геофизических технологий внутренней структуры и механизма деятельности грязевого вулкана Джау-Тепе, являющегося одним из крупных элементов Керченско-Таманской грязевулканической провинции. Актуальность работы. Изучение глубинной структуры … Исследование направлено на изучение с применением современных геофизических технологий внутренней структуры и механизма деятельности грязевого вулкана Джау-Тепе, являющегося одним из крупных элементов Керченско-Таманской грязевулканической провинции. Актуальность работы. Изучение глубинной структуры грязевых вулканов, строения и механизмов работы их флюидопроводящих систем – необходимое и важное условие для понимания процессов грязевого вулканизма. Для возможного прогнозирования пароксизмальных крупных извержений, сопровождающихся разрушениями, локальными землетрясениями и просадками грунта требуется четкое понимание устройства и механизма работы аппарата грязевого вулкана, динамики доставки флюидного вещества. Цель работы – изучение внутреннего строения грязевого вулкана Джау-Тепе и структуры глубинных каналов доставки флюидного вещества опираясь на данные площадной съемки пассивного геофизического метода сейсморазведки с последующим анализом и интерпретацией полученных результатов. Методы. Исследование проводилось геофизическим методом микросейсмического зондирования, основанным на анализе низкочастотной составляющей амплитудных спектров поверхностных волн Рэлея, зарегистрированных с использованием широкополосных сейсмических измерительных систем в 56 пунктах площадной съемки с последующим анализом массива данных авторским программным комплексом MDP-3D. Результаты исследований. Анализ низкочастотной составляющей амплитудных спектров поверхностных волн Рэлея в диапазоне частот 0.03-1.2 Гц, позволил построить геофизическую объемную структурную модель распределения относительной интенсивности микросейсм до глубины 18 км, показывающую относительное изменение скоростных характеристик среды под грязевым вулканом. На глубине 6 км и ниже непосредственно выявлено мощное ярко выраженное низкоскоростное тело, корни которого уходят вглубь до отметки 18 км и далее, демонстрирующее характерные размеры и формы резервуаров накопления грязебрекчий, а также возможные источники и пути миграции сверхглубинных флюидов The research is aimed at studying the internal structure and mechanism of activity of the Dzhau-Tepe mud volcano, which is one of the major elements of the Kerch-Taman mud volcanic province using modern geophysical technologies. Relevance. The study of the deep structure of mud volcanoes, the structure and mechanisms of their fluid–conducting systems is a necessary and important condition for understanding the processes of mud volcanism. For possible prediction of paroxysmal large-scale eruptions accompanied by destruction, local earthquakes and subsidence of soil, a clear understanding of the structure and mechanism of the mud volcano apparatus and the dynamics of fluid delivery is required. Aim. The study of the internal structure of the Dzhau-Tepe mud volcano and the structure of deep channels for the delivery of fluid based on data from the areal survey of the passive geophysical method of seismic exploration, followed by analysis and interpretation of the results. Methods.The study was carried out using the geophysical microseismic sounding method based on the analysis of the low-frequency component of the amplitude spectra of surface Rayleigh waves recorded using broadband seismic measuring systems at 56 points of area survey, followed by an analysis of the data array by the author's MDP-3D software package. Results.Analysis of the low-frequency part of the amplitude spectra of surface Rayleigh waves in the frequency range 0.03-1.2 Hz allowed us to construct a geophysical volumetric structural model of the distribution of the relative intensity of microseisms to a depth of 18 km, showing a relative change in the velocity characteristics of the environment under the mud volcano. At a depth of 6 km and below, a powerful, pronounced low-velocity body was directly detected, the roots of which extend deep to the 18 km mark and beyond, demonstrating the characteristic sizes and shapes of mud-breccia accumulation reservoirs, as well as possible sources and migration routes of ultra-deep fluids
Актуальность работы состоит в необходимости поиска зон менее подверженных сейсмической опасности в территориях, в которых горные массивы переходят в равнины. Строгих механико-математических подходов исследования сейсмичности в таких территориях мало, в … Актуальность работы состоит в необходимости поиска зон менее подверженных сейсмической опасности в территориях, в которых горные массивы переходят в равнины. Строгих механико-математических подходов исследования сейсмичности в таких территориях мало, в связи с тем, что они требуют решения некоторых проблем в теории интегральных уравнений. Целью проведенных исследований явилось выявление зоны пониженной сейсмичности в области перехода горной территории в равнинную. Методы работы. Для исследования использовано решение контактной задачи о концентрации контактных напряжений в зоне перехода горного массива в равнинную территорию. Предполагается, что возвышающийся над равниной горный массив моделируется деформируемым штампом, который расположен на анизотропном полупространстве, свойственном строению гранитного слоя литосферной плиты. В работе учитываются приливные Лунные воздействия, описываемые временной функцией. Выполнение поставленной задачи потребовало построения решения двумерного интегрального уравнения Винера-Хопфа с анизотропным символом ядра интегрального уравнения. Для описания деформируемого штампа принято разложение решения граничной задачи для штампа сложной реологии по решениям граничных задач для штампов упрощенной реологии, даваемых уравнениями Гельмгольца. Результаты исследования. В процессе исследования, получено представление распределения контактных напряжений под деформируемым штампом. Установлено, что в приграничных зонах деформируемого штампа происходит, при приближении к прямолинейной границе, нарастание контактных напряжений. Для выявления зоны понижения концентрации контактных напряжений, изучен случай штампа с внутренним углом. Он содержит сектор, в который входят на плоскости два первых квадранта и часть третьего. Зона излома границы штампа, называемая внутренним углом, является наименее опасной. Безопасность увеличивается по мере увеличения раствора сектора штампа, что представлено в таблице. Дальнейшее увеличение сектора раствора штампа может привести к встречному расположению границ ущелья, приближающемуся к параллельным, что может привести к резонансам И.И. Воровича The relevance of the work lies in the need to search for areas with reduced seismic hazards in areas where mountain ranges turn into plains. There are few rigorous mechanical and mathematical approaches to studying seismicity in such areas, due to the fact that they require solving some problems in the theory of integral equations. The aim of the research was to identify a reduced seismicity zone in the area of transition from a mountainous territory to a flat one. Methods. The solution of the contact problem on the concentration of contact stresses in the transition zone of a mountain range to a flat terrain was used for the study. It is assumed that the mountain range towering above the plain is modeled by a deformable stamp, which is located on an anisotropic half-space characteristic of granite layer structure in the lithospheric plate. The work takes into account tidal lunar impacts described by the time function. The task required constructing a solution to the two-dimensional Wiener-Hopf integral equation with an anisotropic symbol for the kernel of the integral equation. To describe a deformable stamp, the solution of the boundary value problem for a stamp of complex rheology is decomposed into solutions of boundary value problems for stamps of simplified rheology given by the Helmholtz equations. Results. In the process of study, a representation of the distribution of contact stresses under a deformable die was obtained. It is established that in the boundary zones of the deformable stamp, an increase in contact stresses occurs as it approaches the rectilinear boundary. To identify the zone of decreasing contact stress concentration, the case of a stamp with an internal angle was studied. It contains a sector that includes the first two quadrants and part of the third quadrant on the plane. The fracture zone of the stamp boundary, called the inner corner, is the least dangerous, and safety increases as the stamp sector solution increases, as shown in the table. A further increase in the mortar sector of the stamp may lead to the opposite location of the gorge boundaries approaching parallel ones, which may lead to I.I. Vorovich resonances
Актуальность работы обусловлена необходимостью исследования особенностей геодинамических процессов, формирующих структуры в пределах сложнопостроенного региона, включающего северное крыло Большого Кавказа и внутренние хребты Терско-Каспийской впадины. Методы. С целью изучения этих процессов … Актуальность работы обусловлена необходимостью исследования особенностей геодинамических процессов, формирующих структуры в пределах сложнопостроенного региона, включающего северное крыло Большого Кавказа и внутренние хребты Терско-Каспийской впадины. Методы. С целью изучения этих процессов выполнено сопоставление морфологических особенностей различных горных построек региона с их глубинным строением, полученным по методу микросейсмического зондирования (ММЗ). Результаты. Пройден региональный профиль от северного склона Большого Кавказа через Осетинскую впадину, Назрановский выступ, Сунженский и Терский хребты общей длиной 115 км с пространственным шагом между пунктами измерений 500-750м. Построен разрез до глубины 45 км. Обнаружены крупные низкоскоростные аномалии под северным склоном Большого Кавказа и Назрановским поднятием. Аналогичная аномалия под северным склоном Кавказа в районе реки Ардон предполагает, что вдоль всего северного склона Большого Кавказа присутствует стенообразное низкоскоростное тело, пространственно коррелирующее с резким подъемом рельефа при продвижении от предгорной впадины в сторону горного массива. Это тело с высоким электрическим сопротивлением по данным магнитотеллурического зондирования (МТЗ) простирается на глубину 50–60 км. Его можно интерпретировать как зону, связанную с тепловыми потоками и наличием флюида в изолированных микротрещинах. Сунженский и Терский хребты не имеют подобных глубинных аномалий. Их строение отличается от северного склона Большого Кавказа, а генезис связан с горизонтальным сжатием и складчато-надвиговыми деформациями в осадочном чехле. На основании сопоставления структуры осадочного чехла по данным ММЗ с возрастом начала тектонической активизации Сунженского хребта рассчитана средняя скорость вертикальных движений, составившая ~0.83 мм/год, также оценена средняя скорость денудации ~0.22 мм/год, что составляет ~25% от скорости роста и согласуется с современными оценками для горных систем Кавказа Relevance. The relevance of this work is determined by the need to study the peculiarities of geodynamic processes that form structures within a complex region, including the northern wing of the Greater Caucasus and the internal ridges of the Terek-Caspian depression. Methods. In order to study these processes, a comparison was made between the morphological features of various mountain structures in the region and their deep structure obtained by the microseismic sounding method (MSM). The results of other methods were used for comparison. A regional profile was made from the northern slope of the Greater Caucasus through the Ossetian depression, the Nazran protrusion, and the Sunzha and Terek ridges, with a total length of 115 km and a spatial step between measurement points of 500-750 m. A section was constructed to a depth of 45 km. Results. Large low-velocity anomalies were detected beneath the northern slope of the Greater Caucasus and the Nazran Uplift. A similar anomaly under the northern slope of the Caucasus in the Ardon River area suggests that along the entire northern slope of the Greater Caucasus there is a wall-shaped low-velocity body, correlating in its spatial position with a sharp rise in relief as one moves from the foothill depression towards the mountain massif. According to magnetotelluric sounding (MTS) data, this body with high electrical resistance extends to a depth of 50–60 km. It can be interpreted as a zone associated with heat flows and the presence of fluid in isolated microcracks. The Sunzha and Terek ridges do not have similar deep anomalies. Their structure differs from that of the northern slope of the Greater Caucasus, and their genesis is associated with horizontal compression and fold-and-thrust deformations in the sedimentary cover. Based on a comparison of the structure of the sedimentary cover according to MSM data with the age of the onset of tectonic activation of the Sunzha Ridge, the average vertical movement rate was calculated to be ~0.83 mm/year, and the average denudation rate was estimated to be ~0.22 mm/year, which is ~25% of the growth rate and is consistent with modern estimates for mountain systems in the Caucasus