Monday 24 March 2025
The researchers have been working on a new method for solving Biot’s consolidation model, which is used to simulate the behavior of porous materials like soil and rocks. The traditional methods for solving this problem are based on the finite element method, but they can be prone to numerical instability and locking, which can lead to inaccurate results.
The researchers have developed an isogeometric method that uses a four-field formulation to solve the problem. This means that instead of using a single field variable, like displacement or pressure, the method uses four separate fields: solid displacement, solid pressure, fluid flux, and fluid pressure. Each of these fields is approximated using a different set of basis functions, which are chosen to capture the complex behavior of the porous material.
The researchers tested their method on several examples, including a two-dimensional problem that simulates the settlement of a soil column under a heavy load. They found that their method was able to accurately capture the behavior of the soil and produce results that were in good agreement with those obtained using traditional finite element methods.
One of the key advantages of the isogeometric method is its ability to handle complex geometries and boundary conditions. Traditional finite element methods can be difficult to use when dealing with complex shapes or irregular boundaries, but the isogeometric method is well-suited for these types of problems.
Another advantage of the isogeometric method is its ability to produce high-accuracy results without requiring a large number of degrees of freedom. This means that the method can be used on large-scale problems where traditional finite element methods would require a huge amount of computational resources.
The researchers also tested their method on three-dimensional problems, including a simulation of the behavior of a porous rock under different types of loading conditions. They found that their method was able to accurately capture the complex behavior of the rock and produce results that were in good agreement with those obtained using traditional finite element methods.
Overall, the isogeometric method developed by the researchers offers a promising new approach for solving Biot’s consolidation model. Its ability to handle complex geometries, boundary conditions, and large-scale problems makes it an attractive option for engineers and scientists working on poroelasticity and porous materials.
Cite this article: “Isogeometric Method Solves Complex Poroelasticity Problems with High Accuracy”, The Science Archive, 2025.
Isogeometric Method, Biot’S Consolidation Model, Poroelasticity, Porous Materials, Finite Element Method, Numerical Instability, Locking, Complex Geometries, Boundary Conditions, Large-Scale Problems.
