Numerical Simulation and Analysis of Rock Mechanics Engineering Geology

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 30 November 2025 | Viewed by 150

Special Issue Editor


E-Mail Website
Guest Editor
School of Computing, Science and Engineering, University of Salford, Salford M5 4WT, UK
Interests: geotechnical engineering and soil mechanics; computational geomechanics; machine learning and artificial intelligence in constitutive modelling of complicated civil and geotechnical engineering materials and systems; slope stability; saturated and unsaturated soils
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We are pleased to announce this Special Issue of the Mathematics journal, entitled "Numerical Simulation and Analysis of Rock Mechanics Engineering Geology". With the increasing complexity of problems related to rock mechanics, from tunnel stability to earthquake-induced landslides, numerical simulations have become indispensable for understanding multi-scale, multi-physics phenomena. This Special Issue invites original research to advance our understanding of mathematical approaches and to address critical challenges in rock mechanics and engineering geology. Contributions should focus on innovative numerical methods—such as finite element analysis, discrete element modeling, or machine learning—applied to rock mass behavior, fracture dynamics, fluid–rock interactions, and geological hazard forecasting.

Dr. Alireza Ahangar-Asr
Guest Editor

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. Mathematics 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 2600 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

  • numerical modeling of rock mechanics
  • machine learning-enhanced geomechanics
  • multiphase flow simulation (CFD-DEM coupling)
  • inverse problems in geological parameterization
  • uncertainty quantification in rock engineering

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

22 pages, 7050 KiB  
Article
Fractal-Based Modeling and Quantitative Analysis of Hydraulic Fracture Complexity in Digital Cores
by Xin Liu, Yuepeng Wang, Tianjiao Li, Zhengzhao Liang, Siwei Meng, Licai Zheng and Na Wu
Mathematics 2025, 13(17), 2700; https://doi.org/10.3390/math13172700 - 22 Aug 2025
Abstract
Hydraulic fracturing in shale reservoirs is affected by microscale structural and material heterogeneity. However, studies on fracture responses to the injection rate across different microstructural types remain limited. To examine the coupled effects of microstructure and flow rate on fracture propagation and mineral [...] Read more.
Hydraulic fracturing in shale reservoirs is affected by microscale structural and material heterogeneity. However, studies on fracture responses to the injection rate across different microstructural types remain limited. To examine the coupled effects of microstructure and flow rate on fracture propagation and mineral damage, high-fidelity digital rock models were constructed from SEM images of shale cores, representing quartz grains and ostracod laminae. Coupled hydro-mechanical damage simulations were conducted under varying injection rates. Fracture evolution and complexity were evaluated using three quantitative parameters: stimulated reservoir area, fracture ratio, and fractal dimension. The results show that fracture morphology and mineral failure are strongly dependent on both the structure and injection rate. All three parameters increase with the flow rate, with the ostracod model showing abrupt complexity jumps at higher rates. In quartz-dominated models, fractures tend to deflect and bypass weak cement, forming branches. In ostracod-lamina models, higher injection rates promote direct penetration and multi-point propagation, resulting in a radial–branched–nested fracture structure. Mineral analysis shows that quartz exhibits brittle failure under high stress, while organic matter fails more readily in tension. These findings provide mechanistic insights into the coupled influence of microstructure and flow rate on hydraulic fracture complexity, with implications for optimizing hydraulic fracturing strategies in heterogeneous shale formations. Full article
Show Figures

Figure 1

Back to TopTop