An Extended Differential Effective Medium Theory: Linking Pore Geometry and Elastic Moduli in Carbonate Rocks
Description
Numerical simulations were conducted on synthetic digital rocks containing predefined non-ellipsoidal pore geometries. The objective was to determine the behavior of the perturbation coefficients a and b introduced in the Extended Differential Effective Medium (Ex-DEM) Theory (Paper Reference to be added).
The document describes the construction of the pore models, their spatial distribution within the computational mesh, the simulation methodology, and the post-processing procedures applied to the resulting stress-strain data. A brief overview of the Ex-DEM formulation is provided to introduce the perturbation coefficients and their relationship with pore geometry.
The simulated effective bulk and shear moduli are then fitted to the Ex-DEM model to establish quantitative correlations between pore morphology – captured through parameters such as aspect ratio and convexity – and the perturbation coefficients. Finally, the results are presented for different pore families, highlighting how deviations from ideal ellipsoidal geometry influence the values of a and b.
A pore shape and random distribution mesh files can be found at https://doi.org/10.5281/zenodo.17440535. Following table list all the OpenFOAM simulation results.
|
Pore Family |
Original |
|
|
Zenodo Project Title |
DOI |
|
Rhombohedral |
- |
- |
90 |
UCS Simulation of Randomly Distributed Rhombohedral Pores (inter-edge angle = 90 deg) under Zero Shear Traction Part 1 |
https://doi.org/10.5281/zenodo.17439823 |
|
Rhombohedral |
- |
- |
90 |
UCS Simulation of Randomly Distributed Rhombohedral Pores (inter-edge angle = 90 deg) under Zero Shear Traction Part 2 |
https://doi.org/10.5281/zenodo.17440732 |
|
Rhombohedral |
- |
- |
80 |
UCS Simulation of Randomly Distributed Rhombohedral Pores (inter-edge angle = 80 deg) under Zero Shear Traction Part 1 |
https://doi.org/10.5281/zenodo.17440923 |
|
Rhombohedral |
- |
- |
80 |
UCS Simulation of Randomly Distributed Rhombohedral Pores (inter-edge angle = 80 deg) under Zero Shear Traction Part 2 |
https://doi.org/10.5281/zenodo.17441164 |
|
Rhombohedral |
- |
- |
70 |
UCS Simulation of Randomly Distributed Rhombohedral Pores (inter-edge angle = 70 deg) under Zero Shear Traction Part 1 |
https://doi.org/10.5281/zenodo.17441661 |
|
Rhombohedral |
- |
- |
70 |
UCS Simulation of Randomly Distributed Rhombohedral Pores (inter-edge angle = 70 deg) under Zero Shear Traction Part 2 |
https://doi.org/10.5281/zenodo.17442147 |
|
Rhombohedral |
- |
- |
60 |
UCS Simulation of Randomly Distributed Rhombohedral Pores (inter-edge angle = 60 deg) under Zero Shear Traction Part 1 |
https://doi.org/10.5281/zenodo.17442757 |
|
Rhombohedral |
- |
- |
60 |
UCS Simulation of Randomly Distributed Rhombohedral Pores (inter-edge angle = 60 deg) under Zero Shear Traction Part 2 |
https://doi.org/10.5281/zenodo.17442767 |
|
Deformed Ellipsoidal Pores |
0.25 |
0.2 |
- |
UCS Simulation of Randomly Distributed Deformed Ellipsoid (aspect ratio = 0.25, delta = 0.2) under Zero Shear Traction Part 1 |
https://doi.org/10.5281/zenodo.17445502 |
|
Deformed Ellipsoidal Pores |
0.25 |
0.2 |
- |
UCS Simulation of Randomly Distributed Deformed Ellipsoid (aspect ratio = 0.25, delta = 0.2) under Zero Shear Traction Part 2 |
https://doi.org/10.5281/zenodo.17445545 |
|
Deformed Ellipsoidal Pores |
0.25 |
0.6 |
- |
UCS Simulation of Randomly Distributed Deformed Ellipsoid (aspect ratio = 0.25, delta = 0.6) under Zero Shear Traction Part 1 |
https://doi.org/10.5281/zenodo.17445567 |
|
Deformed Ellipsoidal Pores |
0.25 |
0.6 |
- |
UCS Simulation of Randomly Distributed Deformed Ellipsoid (aspect ratio = 0.25, delta = 0.6) under Zero Shear Traction Part 2 |
https://doi.org/10.5281/zenodo.17445571 |
|
Deformed Ellipsoidal Pores |
0.25 |
1 |
- |
UCS Simulation of Randomly Distributed Deformed Ellipsoid (aspect ratio = 0.25, delta = 1.0) under Zero Shear Traction Part 1 |
https://doi.org/10.5281/zenodo.17445579 |
|
Deformed Ellipsoidal Pores |
0.25 |
1 |
- |
UCS Simulation of Randomly Distributed Deformed Ellipsoid (aspect ratio = 0.25, delta = 1.0) under Zero Shear Traction Part 2 |
https://doi.org/10.5281/zenodo.17445585 |
|
Deformed Ellipsoidal Pores |
0.25 |
1.4 |
- |
UCS Simulation of Randomly Distributed Deformed Ellipsoid (aspect ratio = 0.25, delta = 1.4) under Zero Shear Traction Part 1 |
https://doi.org/10.5281/zenodo.17445591 |
|
Deformed Ellipsoidal Pores |
0.25 |
1.4 |
- |
UCS Simulation of Randomly Distributed Deformed Ellipsoid (aspect ratio = 0.25, delta = 1.4) under Zero Shear Traction Part 2 |
https://doi.org/10.5281/zenodo.17445595 |
|
Deformed Ellipsoidal Pores |
0.25 |
1.8 |
- |
UCS Simulation of Randomly Distributed Deformed Ellipsoid (aspect ratio = 0.25, delta = 1.8) under Zero Shear Traction Part 1 |
https://doi.org/10.5281/zenodo.17445604 |
|
Deformed Ellipsoidal Pores |
0.25 |
1.8 |
- |
UCS Simulation of Randomly Distributed Deformed Ellipsoid (aspect ratio = 0.25, delta = 1.8) under Zero Shear Traction Part 2 |
https://doi.org/10.5281/zenodo.17445618 |
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