An equivalent algorithm for simulating thermal effects of magma intrusion problems in porous rocks

Chongbin Zhao, B. E. Hobbs, A. Ord, Ge Lin, H. B. Mühlhaus

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

An equivalent algorithm is proposed to simulate thermal effects of the magma intrusion in geological systems, which are composed of porous rocks. Based on the physical and mathematical equivalence, the original magma solidification problem with a moving boundary between the rock and intruded magma is transformed into a new problem without the moving boundary but with a physically equivalent heat source. From the analysis of an ideal solidification model, the physically equivalent heat source has been determined in this paper. The major advantage in using the proposed equivalent algorithm is that the fixed finite element mesh with a variable integration time step can be employed to simulate the thermal effect of the intruded magma solidification using the conventional finite element method. The related numerical results have demonstrated the correctness and usefulness of the proposed equivalent algorithm for simulating the thermal effect of the intruded magma solidification in geological systems.

Original languageEnglish
Pages (from-to)3397-3408
Number of pages12
JournalComputer Methods in Applied Mechanics and Engineering
Volume192
Issue number31-32
DOIs
Publication statusPublished - 1 Aug 2003
Externally publishedYes

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