<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>As the geological exploration data is relatively sparse, unevenly distributed, and contains many geological faults, simple geological surface reconstruction has certain limitations. Based on the fractional differential equations, the paper establishes a subsidence prediction model in exploring geological and mineral resources. The dynamic system described by the reaction-diffusion equation can be mapped to a nonlinear cellular network through space and time discretization. At the same time, the original partial differential equations can be transformed into ordinary differential equations. Furthermore, we can use the difference method to simulate its evolutionary behavior quantitatively. The research results show that the error accuracy between the prediction results of the fractional gray theory established in this paper and the actual engineering results is higher.</p>
</abstract>

As the geological exploration data is relatively sparse, unevenly distributed, and contains many geological faults, simple geological surface reconstruction has certain limitations. Based on the fractional differential equations, the paper establishes a subsidence prediction model in exploring geological and mineral resources. The dynamic system described by the reaction-diffusion equation can be mapped to a nonlinear cellular network through space and time discretization. At the same time, the original partial differential equations can be transformed into ordinary differential equations. Furthermore, we can use the difference method to simulate its evolutionary behavior quantitatively. The research results show that the error accuracy between the prediction results of the fractional gray theory established in this paper and the actual engineering results is higher.

Fractional Differential Equations in the Exploration of Geological and Mineral Construction

Wuhan University of Science and Technology

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

As the geological exploration data is relatively sparse, unevenly distributed, and contains many geological faults, simple geological surface reconstruction...

Fractional Differential Equations in the Exploration of Geological and Mineral Construction

Publié en ligne: 15 juil. 2022

Pages: 647 - 654

Reçu: 10 févr. 2022

Accepté: 14 avr. 2022

DOI: https://doi.org/10.2478/amns.2022.2.0050

Mots clés
Fractional differential equation, geological exploration, settlement prediction, mineral construction

© 2023 Yuan Wang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Fractional Differential Equations in the Exploration of Geological and Mineral Construction

Publié en ligne: 15 juil. 2022

Pages: 647 - 654

Reçu: 10 févr. 2022

Accepté: 14 avr. 2022

DOI: https://doi.org/10.2478/amns.2022.2.0050

Mots clésFractional differential equation, geological exploration, settlement prediction, mineral construction

© 2023 Yuan Wang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Mots clés
Fractional differential equation, geological exploration, settlement prediction, mineral construction