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

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

doi:10.1016/j.ijggc.2013.04.007

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

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

Authors

Professor Simon Mathias s.a.mathias@durham.ac.uk
Professor

A.W. Roberts

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
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.

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Greenhouse Gas Control. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Greenhouse Gas Control, 37, 2013, 10.1016/j.ijggc.2013.04.007.