Reply to the Discussion
Name
geo-2023-0678.1.pdf
Size
3.22 MB
Format
Adobe PDF
Checksum (MD5)
2afbae4a2d69e23e31676113f440102b
Author(s)
Alkhimenkov, Yury
Date Issued
January 25, 2024
Journal
Geophysics
Publisher
Society of Exploration Geophysicists
Citation
Yury Alkhimenkov; Reply to the Discussion. Geophysics 2024;; 89 (2): X5–X7.
Version
Final published version
Abstract
Gassmann’s equations have been known for several decades and are widely used in geophysics. These equations are treated as exact if all the assumptions used in their derivation are fulfilled. However, a recent theoretical study claimed that Gassmann’s equations contain an error. Shortly after that, a 3D numerical calculation was performed on a simple pore geometry that verifies the validity of Gassmann’s equations. This pore geometry was simpler than those in real rocks but arbitrary. Furthermore, the pore geometry that was used did not contain any special features (among all possible geometries) that were tailored to make it consistent with Gassmann’s equations. In other recent studies, I also performed numerical calculations on several other more complex pore geometries that supported the validity of Gassmann’s equations. To further support the validity of these equations, I provide here one more convergence study using a more realistic geometry of the pore space. Given that there are several studies that rederive Gassmann’s equations using different methods and numerical studies that verify them for different pore geometries, it can be concluded that Gassmann’s equations can be used in geophysics without concern if their assumptions are fulfilled. MATLAB routines to reproduce the presented results are provided.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1190/geo2023-0678.1
