Self-organisation and fracture connectivity in rapidly heated continental crust

Nick Petford, M. A. Curt Koenders

Research output: Contribution to Book/Report typesChapterResearchpeer-review

Abstract

Volume expansion (∼1-5% volume strain with ΔVmeltingpositive) and fluid-absent partial melting, in which ΔVmeltingis positive, of continental crust by intruding basaltic magma is a strongly irreversible process involving the dissipation of both thermal energy and matter (partial melt). Using a simple random graph model we show by analogy how isolated fractures that form during rapid thermal perturbation in the source region can combine to form a single, interconnected structure with high permeability. Once connected, the fracture network may be thought of as a single structure or pattern that will remain stable so long as a strong temperature gradient is maintained in the source region. Estimates of fracture permeability that take into account changes in connectivity and fracture spacing range from approximately 10-10to 10-5m2, many orders of magnitude greater than values considered typical during large-scale crustal deformation and prograde regional metamorphism. The ability of the isotropic fracture network to develop a top-bottom directionality is crucial for buoyancy-driven melt transport. A physical model based on non-linear evolution rules during thermal expansion is given that predicts the emergence of directionality (vertical fracture alignment) on a time scale of the order of 105y. The necessary ingredients are a deviatoric strain path, a heterogeneous medium and a stiffness that evolves as a function of the local strain. © 1998 Elsevier Science Ltd. All rights reserved.
Original languageEnglish
Title of host publicationJournal of Structural Geology
PublisherElsevier Ltd
Pages1425-1434
Number of pages10
Volume20
ISBN (Print)0191-8141
DOIs
Publication statusPublished - 1 Sep 1998

Publication series

NameJournal of Structural Geology
Volume20

Fingerprint

self organization
continental crust
connectivity
fracture network
melt
permeability
prograde metamorphism
heterogeneous medium
crustal deformation
thermal expansion
regional metamorphism
temperature gradient
buoyancy
partial melting
stiffness
dissipation
spacing
magma
perturbation
timescale

Cite this

Petford, N., & Curt Koenders, M. A. (1998). Self-organisation and fracture connectivity in rapidly heated continental crust. In Journal of Structural Geology (Vol. 20, pp. 1425-1434). (Journal of Structural Geology; Vol. 20). Elsevier Ltd. https://doi.org/10.1016/S0191-8141(98)00081-9
Petford, Nick ; Curt Koenders, M. A. / Self-organisation and fracture connectivity in rapidly heated continental crust. Journal of Structural Geology. Vol. 20 Elsevier Ltd, 1998. pp. 1425-1434 (Journal of Structural Geology).
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abstract = "Volume expansion (∼1-5{\%} volume strain with ΔVmeltingpositive) and fluid-absent partial melting, in which ΔVmeltingis positive, of continental crust by intruding basaltic magma is a strongly irreversible process involving the dissipation of both thermal energy and matter (partial melt). Using a simple random graph model we show by analogy how isolated fractures that form during rapid thermal perturbation in the source region can combine to form a single, interconnected structure with high permeability. Once connected, the fracture network may be thought of as a single structure or pattern that will remain stable so long as a strong temperature gradient is maintained in the source region. Estimates of fracture permeability that take into account changes in connectivity and fracture spacing range from approximately 10-10to 10-5m2, many orders of magnitude greater than values considered typical during large-scale crustal deformation and prograde regional metamorphism. The ability of the isotropic fracture network to develop a top-bottom directionality is crucial for buoyancy-driven melt transport. A physical model based on non-linear evolution rules during thermal expansion is given that predicts the emergence of directionality (vertical fracture alignment) on a time scale of the order of 105y. The necessary ingredients are a deviatoric strain path, a heterogeneous medium and a stiffness that evolves as a function of the local strain. {\circledC} 1998 Elsevier Science Ltd. All rights reserved.",
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Petford, N & Curt Koenders, MA 1998, Self-organisation and fracture connectivity in rapidly heated continental crust. in Journal of Structural Geology. vol. 20, Journal of Structural Geology, vol. 20, Elsevier Ltd, pp. 1425-1434. https://doi.org/10.1016/S0191-8141(98)00081-9

Self-organisation and fracture connectivity in rapidly heated continental crust. / Petford, Nick; Curt Koenders, M. A.

Journal of Structural Geology. Vol. 20 Elsevier Ltd, 1998. p. 1425-1434 (Journal of Structural Geology; Vol. 20).

Research output: Contribution to Book/Report typesChapterResearchpeer-review

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AB - Volume expansion (∼1-5% volume strain with ΔVmeltingpositive) and fluid-absent partial melting, in which ΔVmeltingis positive, of continental crust by intruding basaltic magma is a strongly irreversible process involving the dissipation of both thermal energy and matter (partial melt). Using a simple random graph model we show by analogy how isolated fractures that form during rapid thermal perturbation in the source region can combine to form a single, interconnected structure with high permeability. Once connected, the fracture network may be thought of as a single structure or pattern that will remain stable so long as a strong temperature gradient is maintained in the source region. Estimates of fracture permeability that take into account changes in connectivity and fracture spacing range from approximately 10-10to 10-5m2, many orders of magnitude greater than values considered typical during large-scale crustal deformation and prograde regional metamorphism. The ability of the isotropic fracture network to develop a top-bottom directionality is crucial for buoyancy-driven melt transport. A physical model based on non-linear evolution rules during thermal expansion is given that predicts the emergence of directionality (vertical fracture alignment) on a time scale of the order of 105y. The necessary ingredients are a deviatoric strain path, a heterogeneous medium and a stiffness that evolves as a function of the local strain. © 1998 Elsevier Science Ltd. All rights reserved.

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Petford N, Curt Koenders MA. Self-organisation and fracture connectivity in rapidly heated continental crust. In Journal of Structural Geology. Vol. 20. Elsevier Ltd. 1998. p. 1425-1434. (Journal of Structural Geology). https://doi.org/10.1016/S0191-8141(98)00081-9