A Lambert W function solution for estimating sustainable injection rates for storage of CO2 in brine aquifers

Mathias, S.A.; Roberts, A.W.

Abstract

It is often of interest to estimate the maximum possible CO2 injection rate for a given maximum pressure buildup and injection duration scenario. Analytical solutions exist to estimate pressure buildup due to constant rate injection for a specified duration. In this article, it is shown that such solutions can be rearranged for injection rate by virtue of the Lambert W function. It is also shown that the Lambert W function argument is sufficiently small such that a simple asymptotic approximation of the Lambert W function is sufficient in this context.

Citation

Mathias, S., & Roberts, A. (2013). A Lambert W function solution for estimating sustainable injection rates for storage of CO2 in brine aquifers. International Journal of Greenhouse Gas Control, 17, 546-548. https://doi.org/10.1016/j.ijggc.2013.04.007

• Journal Article Type: Article
• Publication Date: Sep 1, 2013
• Deposit Date: Jul 29, 2013
• Publicly Available Date: Jun 18, 2014
• Journal: International Journal of Greenhouse Gas Control
• Print ISSN: 1750-5836
• Electronic ISSN: 1878-0148
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 17
• Pages: 546-548
• DOI: https://doi.org/10.1016/j.ijggc.2013.04.007
• Keywords: CO2 injection, Geologic carbon sequestration, Pressure buildup, Lambert W function.
• Public URL: https://durham-repository.worktribe.com/output/1472323