Skip navigation
Please use this identifier to cite or link to this item:
Title: The relation between differential stress, driving pressure ratio, tensile strength and reservoir failure in a magmatic system – Towards eruption forecasting
Authors: Lahiri S.
Bhatt, Sandeep
Mamtani M.A.
Published in: Journal of Structural Geology
Abstract: In this study a relation is established between differential stress (σd), driving magma pressure ratio (R′) and tensile strength (T) of a rock mass in a volcanic system. It is shown that in σd vs. R′ space, the T curve follows equation of rectangular hyperbola and for dyking or volcanic eruption to occur, this T curve must be exceeded. It is proposed that this theoretical relation can be exploited to understand magma reservoir failure and for volcanic eruption forecasting. Applicability of this concept is demonstrated on Santorini volcanic system (Greece) for which considerable background information is available from previous studies. Published dyke orientation and aspect ratio data from Santorini yield σd and R′ values of 8.04 MPa and 0.22 respectively. Considering a weak quality host rock mass in Santorini, tensile strength curve for T = 1.5 MPa is plotted in σd vs R′ space. Considering magma reservoir volume and rock physical property estimates to be valid, and assuming σd and absolute stress to be constant, it is argued that change in reservoir dynamics would be controlled by variations in volume of magma released from the deeper magma reservoir to shallow reservoir (Vr) in Santorini. Values of R′ and Vr for the events of non-dyking in Santorini are also calculated. Minimum R′ and Vr required to induce dyking and eruption are estimated and it is concluded that the proposed theory can be generally applied for eruption forecasting. © 2019 Elsevier Ltd
Citation: Journal of Structural Geology, 124: 23-34
Issue Date: 2019
Publisher: Elsevier Ltd
Keywords: Differential stress
Driving pressure ratio
Eruption forecasting
Reservoir failure
Tensile strength
Volcanic system
ISSN: 1918141
Author Scopus IDs: 57189344027
Author Affiliations: Lahiri, S., Department of Geology and Geophysics, Indian Institute of Technology, Kharagpur, 721302, India
Bhatt, S., Department of Geology and Geophysics, Indian Institute of Technology, Kharagpur, 721302, India
Mamtani, M.A., Department of Geology and Geophysics, Indian Institute of Technology, Kharagpur, 721302, India
Funding Details: This study is a part of doctoral research of SL being carried out under the supervision of MAM that involves developing methods to quantify stress in natural rocks, and is financially supported by the Institute Research Fellowship of the Indian Institute of Technology Kharagpur (India). SB thanks Department of Science and Technology (DST, India) INSPIRE Fellowship Program (Award Number: IF131138 ) for support. We are grateful to John Browning for sharing dyke orientation data from Santorini volcanic system. Reviews by Christoph Hilgers and an anonymous reviewer, and editorial handling by Stephen Laubach are gratefully acknowledged. Department of Science and Technology, Government of Kerala: IF131138; Indian Institute of Technology Kharagpur; Department of Science and Technology, DOST
Corresponding Author: Mamtani, M.A.; Department of Geology and Geophysics, India; email:
Appears in Collections:Journal Publications [ES]

Files in This Item:
There are no files associated with this item.
Show full item record

Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.