Analytical solution for N-member decay chain transport in fracture in rock
2013 (English)In: Rock Characterisation, Modelling and Engineering Design Methods - Proceedings of the 3rd ISRM SINOROCK 2013 Symposium, Taylor & Francis Group, 2013, 323-328 p.Conference paper (Refereed)
A model is developed to describe the transport of an N-member radionuclide decay chain along a discrete fracture situated in a porous matrix. An analytical solution is presented and a series of simulations are performed to study the relative significance of diffusion process into rock matrix, stagnant water, chain decay and hydrodynamic dispersion. The results show that a simplified model that ignores the effect of stagnant water zone can lead to significant error in the estimated time of arrival and peak value of the nuclides. The results demonstrate that for a two-member decay chain, neglecting the parent and modeling its daughter as a single species can result in significant overestimation of peak value of the nuclide. Moreover, it is found that as the dispersion increases, the arrival time and peak time of daughter decrease, while the peak value increases.
Place, publisher, year, edition, pages
Taylor & Francis Group, 2013. 323-328 p.
Arrival time, Diffusion process, Discrete fractures, Estimated time of arrivals, Hydrodynamic dispersions, Porous matrixs, Single species, Stagnant water
Other Chemical Engineering
IdentifiersURN: urn:nbn:se:kth:diva-125311ISI: 000342685900053ScopusID: 2-s2.0-84880113138ISBN: 978-113800057-5OAI: oai:DiVA.org:kth-125311DiVA: diva2:639616
3rd ISRM Symposium on Rock Characterisation, Modelling and Engineering Design Methods, SINOROCK 2013, 18 June 2013 through 20 June 2013, Shanghai
QC 201308082013-08-082013-08-082014-11-06Bibliographically approved