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Advances in Numerical Computation and Mathematical Modelling for Geotechnical Engineering
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Advances in Numerical Computation and Mathematical Modelling for Geotechnical Engineering

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Civil Engineering".

Deadline for manuscript submissions: 31 March 2025 | Viewed by 2743

Special Issue Editors

Dr. Jiadong Qiu

E-Mail Website
Guest Editor
School of Resources Environment and Safety Engineering, University of South China, Hengyang 421001, China
Interests: numerical simulation; constitutive model; metaheuristic algorithm; rock mechanics; seepage
Dr. Changtai Zhou

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Guest Editor
Department of Architecture and Civil Engineering, City University of Hong Kong, Hong Kong SAR, China
Interests: DEM; modeling of fracture network; damage models; constitutive model of rock mass
Dr. Yichao Rui

E-Mail Website
Guest Editor
School of Resources and Safety Engineering, Chongqing University, Chongqing 400044, China.
Interests: numerical computation; disaster early warning; rock–soil interaction; rock mechanics
Dr. Fan Feng

E-Mail Website
Guest Editor
College of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao 266590, China
Interests: water-induced rockburst weakening mechanism; testing and experiment of rock mechanical properties; mining method and ground pressure control in deep mines; rockburst mechanism and control techniques; FEM/DEM approach
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

With the excavation of geotechnical engineering in deep strata and complex geological environments, a large number of engineering problems, such as groundwater seepage, the dynamic failure of rock mass or soil, geothermal damage to rock mass, and microseismic effects, will strengthen the need for reliable numerical, mathematical, and engineering monitoring methods in engineering analysis, evaluation, and design processes.

This Special Issue focuses on the application and development of advanced numerical computation and mathematical methods in analyzing various geotechnical engineering problems. Original, review, and case study articles related to basic theories and advanced engineering applications will be welcomed.

The research topics covered include, but are not limited to, the following:

  1. Developing new numerical algorithms or constitutive models that can more accurately reflect the mechanical behavior of the object of concern, including new constitutive models of rock or soil, new metaheuristic algorithms, new numerical methods/means, etc.;
  2. Exploring advanced numerical or mathematical models for solving complex engineering problems, including dynamic and static models of rock or soil, and coupled computing models of multi-physical fields, etc.

Dr. Jiadong Qiu
Dr. Changtai Zhou
Dr. Yichao Rui
Dr. Fan Feng
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • advanced numerical method
  • constitutive model of rock or soil materials
  • FEM/DEM simulation
  • multi-physical field numerical simulation
  • advanced metaheuristic algorithms
  • applications of artifcial neural algorithms
  • seepage calculation model
  • rock mass dynamic and static calculation models
  • structural stability simulation
  • computation of rock–soil interaction

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Published Papers (4 papers)

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Research

23 pages, 18218 KiB  
Article
Analysis of Granite Deformation and Rupture Law and Evolution of Grain-Based Model Force Chain Network under Anchor Reinforcement
by Jiangfeng Guo, Doudou Fan, Liyuan Yu, Meixia Shi, Haijian Su, Tao Zhang and Bowen Hu
Appl. Sci. 2024, 14(18), 8548; https://doi.org/10.3390/app14188548 - 23 Sep 2024
Viewed by 402
Abstract
In actual underground rock engineering, to prevent the deformation and damage of the rock mass, rock bolt reinforcement technology is commonly employed to maintain the stability of the surrounding rock. Therefore, studying the anchoring and crack-stopping effect of rock bolts on fractured granite [...] Read more.
In actual underground rock engineering, to prevent the deformation and damage of the rock mass, rock bolt reinforcement technology is commonly employed to maintain the stability of the surrounding rock. Therefore, studying the anchoring and crack-stopping effect of rock bolts on fractured granite rock mass is essential. It can provide significant reference and support for the design of underground engineering, engineering safety assessment, the theory of rock mechanics, and resource development. In this study, indoor experiments are combined with numerical simulations to explore the impact of fracture dip angles on the mechanical behavior of unanchored and anchored granite samples from both macroscopic and microscopic perspectives. It also investigates the evolution of the anchoring and crack-stopping effect of rock bolts on granite containing fractures with different dip angles. The results show that the load-displacement trends, displacement fields, and debris fields from indoor experiments and numerical simulations are highly similar. Additionally, it was discovered that, in comparison to the unanchored samples, the anchored samples with fractures at various angles all exhibited a higher degree of tensile failure rather than shear failure that propagates diagonally across the samples from the regions around the fracture tips. This finding verifies the effectiveness of the numerical model parameter calibration. At the same time, it was observed that the internal force chain value level in the anchored samples is higher than in the unanchored samples, indicating that the anchored samples possess greater load-bearing capacity. Furthermore, as the angle αs increases, the reinforcing and crack-stopping effects of the rock bolts become increasingly less pronounced. Full article
(This article belongs to the Special Issue Advances in Numerical Computation and Mathematical Modelling for Geotechnical Engineering)
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33 pages, 6184 KiB  
Article
Numerical Simulation and Engineering Application of Synergistic Support Effect of Bolt–Mesh–Cable Support in Gob-Side Entry of Deep Soft Coal Seam
by Haifeng Ma, Shuo Zhang, Huaiyi Zhai, Zenghui Liu and Chuang Jie
Appl. Sci. 2024, 14(18), 8226; https://doi.org/10.3390/app14188226 - 12 Sep 2024
Viewed by 440
Abstract
Aiming at solving the problem of support failure caused by a large deformation of roadway surrounding rock in a deep soft coal seam, and taking the surrounding rock control of the roadway in the 11-2 coal seam in Zhujidong Coal Mine as the [...] Read more.
Aiming at solving the problem of support failure caused by a large deformation of roadway surrounding rock in a deep soft coal seam, and taking the surrounding rock control of the roadway in the 11-2 coal seam in Zhujidong Coal Mine as the research background, numerical simulation and field industrial test and inspection methods were used to study the support effect of a supporting system of gob-side entry in deep soft coal seam. The deformation characteristics of various supporting systems of metal mesh, diamond mesh, metal mesh with anchor rod, steel ladder beam, M-shaped steel belt, 14#b channel steel, and 11# I-steel in the goaf supporting body of deep soft coal seam were studied under vertical load. The supporting effect of effective compressive stress zone generated by bolt and cable under different row spacings and lengths was analyzed, and the law of variation in the compressive stress field generated by supporting members with supporting parameters was explored. The length and interrow distance of bolt and cable were compared, respectively, and reasonable supporting parameters were selected. Based on the abovementioned research results and the geological conditions of the 1331 (1) track roadway, the support scheme of the 1331 (1) track roadway was designed, and the industrial test was carried out. The results show that the surrounding rock of the roadway is within the effective anchorage range of the supporting body, the active support function of the supporting components has been fully brought into play, and the overall control effect of the surrounding rock of the roadway is good, which can ensure the safety and stability of the goaf roadway. The maximum displacement of the roof and floor of the roadway is 86 mm, the maximum displacement of the solid coal side is 50 mm, the maximum displacement of the coal pillar side is 70 mm, and the maximum separation of layers is 22 mm. There is no failure phenomenon in relation to the anchor bolt and cable, and the overall deformation of the roadway surrounding the rock is good, which can provide some references for roadway-surrounding-rock control under similar conditions in deep coal seams. Full article
(This article belongs to the Special Issue Advances in Numerical Computation and Mathematical Modelling for Geotechnical Engineering)
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19 pages, 16746 KiB  
Article
Dynamic Response and Rock Damage of Different Shapes of Cavities under Blasting Loads
by Xuejiao Cui, Mingsheng Zhao and Qiyue Li
Appl. Sci. 2024, 14(17), 7743; https://doi.org/10.3390/app14177743 - 2 Sep 2024
Viewed by 448
Abstract
In order to investigate the dynamic response and rock mass damage characteristics of cavities with different shapes under blasting loads, this paper, through a combination of model tests and numerical simulations, studies the stress distribution, strain, failure modes, and blasting fragment size distribution [...] Read more.
In order to investigate the dynamic response and rock mass damage characteristics of cavities with different shapes under blasting loads, this paper, through a combination of model tests and numerical simulations, studies the stress distribution, strain, failure modes, and blasting fragment size distribution of cavities with different shapes subjected to blasting loads. The results show that under the action of blasting loads, the presence of cavities with different shapes significantly affects the blasting effects and rock mass damage. Spherical cavities exhibit excellent blast resistance, whereas rectangular and triangular cavities are prone to stress concentration at their tips, which in turn promotes rock mass damage and failure. Subsequent analysis of the blasting fragment sizes reveals that rectangular and triangular cavities yield more favorable blasting results than spherical cavities. The research findings provide important theoretical foundations and practical guidance for the design and construction of underground engineering blasting, contributing to enhancing engineering safety and promoting the sustainable development of the underground engineering industry. Full article
(This article belongs to the Special Issue Advances in Numerical Computation and Mathematical Modelling for Geotechnical Engineering)
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20 pages, 5901 KiB  
Article
The Vibration Response to the High-Pressure Gas Expansion Method: A Case Study of a Hard Rock Tunnel in China
by Huaide Peng, Jia Sheng, Qi Da, Bing Dai, Lei Zhang and Lihai Tan
Appl. Sci. 2024, 14(15), 6645; https://doi.org/10.3390/app14156645 - 30 Jul 2024
Viewed by 602
Abstract
The vibration of rock breaking in tunnel excavation may cause serious damage to nearby buildings if it is not controlled properly. With reference to a hard rock tunnel in China, the vibration response to the high-pressure gas expansion method (HPGEM), an emerging rock-breaking [...] Read more.
The vibration of rock breaking in tunnel excavation may cause serious damage to nearby buildings if it is not controlled properly. With reference to a hard rock tunnel in China, the vibration response to the high-pressure gas expansion method (HPGEM), an emerging rock-breaking approach, was investigated with field tests, theoretical derivations, and numerical simulations, then comparisons with the traditional dynamite blast were performed. Firstly, the vibration velocity prediction formulas of the two methods were fitted based on the field tests. Subsequently, the accuracy of the formula was verified by numerical simulation, and the vibration attenuation law of the HPGEM was explored. Comparisons were made between the blast and HPGEM, particularly the differences in peak particle velocity (PPV) for different agent qualities, distance from the blasting center, and engineering conditions. Furthermore, this study also analyzed the relationship between the agent qualities and the rock-breaking volume under different cases, finding that the HPGEM has slight vibration and good rock-breaking effect. The HPGEM is thus fully capable of replacing dynamite blasting to carry out rock-breaking operations in certain special areas. Full article
(This article belongs to the Special Issue Advances in Numerical Computation and Mathematical Modelling for Geotechnical Engineering)
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