Numerical modeling in geomechanics is a computational technique that employs mathematical models, expressed through numbers and equations, to simulate and describe the physical behavior of geological materials like rock and soil under various conditions (Wikipedia, 2024).
These models often involve complex partial differential equations that represent fundamental physical laws but are challenging to solve analytically.
To overcome this, numerical methods such as the finite element method (FEM) and finite difference method (FDM) are used to discretize the problem domain into smaller elements or grid points, converting the governing equations into a system of algebraic equations that can be solved computationally (Geoengineer.org).
This approach allows engineers and geologists to simulate real-world scenarios, such as the stability of slopes, the deformation around underground excavations, or the flow of groundwater.
By conducting these “numerical experiments,” they can predict the response of earth materials to different loads and boundary conditions, providing valuable insights for design, safety analysis, and risk assessment in geotechnical engineering projects (Wikipedia, 2024).
How might numerical modeling help prevent failures in underground excavations? Share your thoughts!