Insights into mare basalt thicknesses on the Moon from intrusive magmatism

Michaut, Chloé; Thiriet, Mélanie; Thorey, C.

doi:10.1016/j.pepi.2016.05.019

Cited by 4 publications

(9 citation statements)

References 27 publications

(59 reference statements)

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“…The model was kept simple on purpose, to make the analytical and numerical solutions tractable while still reflecting the overall features of the modeled systems. It exhibits the same limitations as most previous elastic models [ Bunger and Cruden , ; Michaut , ; Galland and Scheibert , ; Michaut and Manga , ; Thorey and Michaut , ; Michaut et al , ], including linear elasticity of the deforming layer, the thin plate approximation, a single strata of homogeneous thickness, rigidity of the basement, and axisymmetric intrusions. Field observations and geophysical data show that sills and laccoliths exhibit overall subcircular shapes in planar view, even if they are never perfectly circular.…”

Section: Interpretation and Discussionmentioning

confidence: 99%

Section: Key Pointsmentioning

confidence: 99%

“…In our model, we defined a tensile propagation criterion, similarly to existing theoretical and numerical models of sill and laccolith emplacement [Pollard and Johnson, 1973;Bunger and Cruden, 2011;Michaut, 2011;Galland and Scheibert, 2013;Michaut and Manga, 2014;Thorey and Michaut, 2014;Michaut et al, 2016]. Note, however, that geological observations evidence some compressional deformation accommodating the propagation of sill and laccolith tips [Pollard, 1973;Rubin, 1993;Spacapan et al, 2016, and references therein].…”

Section: 1002/2016jb013754mentioning

confidence: 99%

“…In sedimentary basins, existing theoretical and numerical models of sill and laccolith emplacement account for elastic host rock only. Classical models, as well as very recent ones, consider the sill overburden as an elastic thin plate clamped to a perfectly rigid basement [ Pollard and Johnson , ; Jackson and Pollard , ; Scaillet et al , ; Kerr and Pollard , ; Goulty and Schofield , ; Bunger and Cruden , ; Michaut , ; Michaut and Manga , ; Thorey and Michaut , ; Michaut et al , ], and assume intrusion propagation to obey Linear Elastic Fracture Mechanics (LEFM) theory. Because these models are clamped, they only account for deformation above the intrusion, which is not realistic [ Galland and Scheibert , , and references therein].…”

Section: Introductionmentioning

confidence: 99%

“…Res. Solid Earth, 122, 923-945, Michaut and Manga, 2014;Thorey and Michaut, 2014;Michaut et al, 2016], and assume intrusion propagation to obey Linear Elastic Fracture Mechanics (LEFM) theory. Because these models are clamped, they only account for deformation above the intrusion, which is not realistic [Galland and Scheibert, 2013, and references therein].To overcome this limitation, a more advanced mathematical formulation considers a thin elastic plate on top of a deformable elastic foundation [Kerr and Pollard, 1998;Galland and Scheibert, 2013].…”

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Inelastic deformation during sill and laccolith emplacement: Insights from an analytic elastoplastic model

2017

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Numerous geological observations evidence that inelastic deformation occurs during sills and laccoliths emplacement. However, most models of sill and laccolith emplacement neglect inelastic processes by assuming purely elastic deformation of the host rock. This assumption has never been tested so that the role of inelastic deformation on the growth dynamics of magma intrusions remains poorly understood. In this paper, we introduce the first analytical model of shallow sill and laccolith emplacement that accounts for elastoplastic deformation of the host rock. It considers the intrusion's overburden as a thin elastic bending plate attached to an elastic‐perfectly plastic foundation. We find that, for geologically realistic values of the model parameters, the horizontal extent of the plastic zone lp is much smaller than the radius of the intrusion a. By modeling the quasi‐static growth of a sill, we find that the ratio lp/a decreases during propagation, as 1/a4ΔP, with ΔP the magma overpressure. The model also shows that the extent of the plastic zone decreases with the intrusion's depth, while it increases if the host rock is weaker. Comparison between our elastoplastic model and existing purely elastic models shows that plasticity can have a significant effect on intrusion propagation dynamics, with, e.g., up to a doubling of the overpressure necessary for the sill to grow. Our results suggest that plasticity effects might be small for large sills but conversely that they might be substantial for early sill propagation.

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Section: Interpretation and Discussionmentioning

confidence: 99%

Section: Key Pointsmentioning

confidence: 99%

Section: 1002/2016jb013754mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Inelastic deformation during sill and laccolith emplacement: Insights from an analytic elastoplastic model

2017

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Magma ascent at floor-fractured craters diagnoses the lithospheric stress state on the Moon

Michaut

Pinel

Maccaferri

2020

Earth and Planetary Science Letters

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Viscous flow beneath a viscous or plastic skin

Ball

Balmforth²

2023

J. Fluid Mech.

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When a viscous fluid spreads underneath a deformable surface skin or crust, the peeling dynamics at the fluid front can control the rate of advance rather than bulk self-similar flow. For an elastic skin, this control results in a quasi-static interior blister held at constant pressure that is matched to a narrow peeling region behind the fluid front. In this paper, the analogous problem is considered for a skin that deforms either viscously or plastically, or both. In particular, the deformable surface is assumed to be a thin plate of material governed by the Herschel–Bulkley constitutive law. We examine how such a skin controls viscous flow underneath, fed at constant flux and spreading as either a planar or axisymmetric current. As for an elastic skin, the peeling dynamics at the viscous fluid front again controls the rate of spreading. However, contrary to that situation, the mathematical matching problem for viscoplastic peeling is simplified considerably as a result of an integral constraint. Despite this, the structure of the peeling region is complicated significantly by any plasticity in the skin, which can create a convoluted peeling wave ahead of the main blister that features interwoven yielded and plugged sections of the plate.

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Insights into mare basalt thicknesses on the Moon from intrusive magmatism

Cited by 4 publications

References 27 publications

Inelastic deformation during sill and laccolith emplacement: Insights from an analytic elastoplastic model

Inelastic deformation during sill and laccolith emplacement: Insights from an analytic elastoplastic model

Magma ascent at floor-fractured craters diagnoses the lithospheric stress state on the Moon

Viscous flow beneath a viscous or plastic skin

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