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---
templateKey: model
slug: sandifordcraig-2023-subduction
title: Plate bending earthquakes and the strength distribution of the lithosphere
date: '2024-05-28T00:11:12.000Z'
featuredpost:
for_codes:
- 370401
status:
- None
doi: ''
url: https://mate.science//models/sandifordcraig-2023-subduction
creditText: ''
software:
- name: ASPECT v2.4.0
doi: https://doi.org/10.5281/zenodo.6903424
url_source: https://github.com/geodynamics/aspect
licence:
licence_url: https://creativecommons.org/licenses/by/4.0/legalcode
licence_image: ../../../img/licence/by.png
description: Creative Commons Attribution 4.0 International
licence_file: license.txt
submitter:
name: Dan
family_name: Sandiford
ORCID: https://orcid.org/0000-0002-2207-6837
creators:
- name: Dan
family_name: Sandiford
ORCID: 0000-0002-2207-6837
- name: Timothy J
family_name: Craig
ORCID: 0000-0003-2198-9172
associated_publication:
authors:
- '@type': Person
'@id': http://orcid.org/0000-0002-2207-6837
givenName: Dan
familyName: Sandiford
affiliation:
- '@type': Organization
name: School of Earth, Atmosphere and Environment, Monash University , Melbourne,
VIC 3800, Australia (formerly)
- '@type': Person
'@id': http://orcid.org/0000-0003-2198-9172
givenName: Timothy J
familyName: Craig
affiliation:
- '@type': Organization
name: COMET, Institute of Geophysics and Tectonics, School of Earth and
Environment, University of Leeds , Leeds LS29JT, UK
title: Plate bending earthquakes and the strength distribution of the lithosphere
doi: http://dx.doi.org/10.1093/gji/ggad230
url: ''
journal: Geophysical Journal International
publisher: Oxford University Press (OUP)
date: 2023-5-27
compute_info:
name: Gadi Supercomputer
organisation: National Computational Infrastructure
url: https://pid.nci.org.au/doi/f5966_0057_9267_4579
doi: https://doi.org/10.25914/608bfd1838db2
research_tags:
- Dynamics of lithosphere
- Lithospheric flexure
- Subduction
- Earthquakes
compute_tags:
- C++
- finite-element
- adaptive-mesh-refinement
- particles
funder:
- name: Australian Research Council
doi: https://ror.org/05mmh0f86
- name: Royal Society
doi: https://ror.org/03wnrjx87
- name: Natural Environment Research Council
doi: https://ror.org/02b5d8509
funding:
- name: Australian Research Council
doi: https://ror.org/05mmh0f86
number_id: DP150102887
- name: Royal Society
doi: https://ror.org/03wnrjx87
number_id: URF\R1\180088
abstract: 'This study investigates the dynamics and constitutive behaviour of the
oceanic lithosphere as it bends and yields during subduction. Two main observational
constraints are considered: the maximum bending moment that can be supported by
the lithosphere, and the inferred neutral plane depth in bending. We particularly
focus on regions of old lithosphere where the ‘apparent’ neutral plane depth is
about 30 km. We use subduction modelling approaches to investigate these flexural
characteristics. We reassess bending moment estimates from a range of previous studies,
and show a significant convergence towards what we call the ‘intermediate’ range
of lithosphere strength: weaker than some classical models predict, but stronger
than recent inferences at seamounts. We consider the non-uniqueness that arises
due to the trade-offs in strength as well background (tectonic) stress state. We
outline this problem with several end-member models, which differ in regard to relative
strength in the brittle and ductile regimes. We evaluate the consistency of these
models in terms of a range of constraints, primarily the seismic expression of the
outer rise. We show that a 30 km neutral plane depth implies that net slab pull
is not greater than about 2 TN m−1. In contrast, models with low brittle strength
imply that regions with a 30 km neutral plane depth are under moderate net axial
compression. Under these conditions, reverse faulting is predicted beneath the neutral
plane at depths >30 km. We show that moderate variations in background stress
have a large impact on the predicted anelastic dissipation. We suggest brittle reverse
faulting is a marginal phenomenon which may be inhibited by moderate changes in
background stress.'
description: Tectonic plates are recycled into the mantle through subduction, where
they bend and deform in various ways, such as brittle failure. This process creates
deep sea trenches and results in characteristic earthquake patterns and gravity
anomalies. In this study, we used a numerical model to investigate plate bending
dynamics, complementing simpler approaches like flexural yield strength envelopes.
We focused on the competition between bending stress and sources of net in-plane
stress, such as slab pull, which influences the plate's neutral plane depth. It
is difficult to reconcile the 'apparent' neutral plane depth with a net slab pull
force greater than about 2 TN/m. Deviatoric compression in subducting plates more
easily explains reverse earthquakes at depths of 20-50 km in the bending plate.
images:
landing_image:
src: ./graphics/res_fig_final_ann.png
caption: Downdip component of strain rate tensor and resolved stress difference
from the numerical model, focusing on features within the plate/slab. The resolved
stress difference is defined as ($\sigma_{s} - \sigma_{z}$), where $\hat{s}$,
and $\hat{z}$ are unit vectors in the downdip and slab normal directions. The
fields show, for example, shortening/extension in the downdip direction. Stress
profiles at four locations are shown. The blue line ($x_0$) is the first zero
crossing based on analysis of the flexural component of the topography. The
black line is the location of maximum bending moment.
graphic_abstract:
src: ./graphics/gpe_fm26.png
caption: 'The main panel shows the variation in terms that arise in a 2D "vertically
integrated" form of the force balance (or stress equilibrium) equations. Assuming
a traction-free surface, the force balance states that across a horizontal section
of the lithosphere, the following terms must sum to zero: 1) integrated basal
shear traction, 2) the difference in the vertically-integrated deviatoric stress
and 3), the difference in the vertically-integrated vertical normal stress (often
called the GPE). In the figure, the overbar symbols represent vertical integration
across the lithosphere. Specifically, integration from a reference height, (taken
here as the mean ridge height) down to a reference depth (taken here as 150
km beneath the reference height). In the main panel, the black line shows the
horizontal variation in the vertically integrated deviatoric stress difference
($\tau_{xx} - \tau_{zz}$). Positive values indicate a state of deviatoric tension.
The dashed blue line shows the horizontal variation in the vertically integrated
vertical normal stress ($\sigma_{yy}$) (or the GPE). Strictly speaking, this
quantity is only equal to the GPE when the vertical normal stress is lithostatic,
but the term is retained in this study due to convention. The upper panel shows
the subducting plate topography at 2 different scales.'
model_setup:
src: ./graphics/s1a.png
caption: The main panel shows the full model domain and initial temperature field.
The texture is generated with a line integral convolution of the velocity field.
Contours show evolution of the slab during the 10 Myr simulation. Velocity arrows
show convergence rates at 5 Myr into the simulation. Inset panels show details
of the adaptive mesh refinement during the simulation.
animation:
src: ./graphics/animation
caption: 'Animation shows the model domain at 2x vertical exaggeration. The scalar
field is the effective strain rate, i.e. $\dot\epsilon_{II} = \sqrt{J2} = \sqrt{0.5(\dot\epsilon_{i,j}:
\epsilon_{i,j})}$. Upper panel shows the evolution of the model topography (a
true free surface). The topographic profile reveals the long-wavelength isostatic
thermal subsidence, as well as the flexural topography associated with the subduction
zone. The model exhibits a very short-wavelength instability in the free surface
of the over-riding plate, which begins approximately 3 Ma after the start of the
simulation.'
model_setup_info:
url: ''
summary: The subduction model comprises a rectangular domain with a depth of 2900
km, and an aspect ratio of 4. The initial conditions comprise an adiabatic mantle
with a potential temperature of 1350 C and two plates, whose age and thermal structure
follows the cooling 1d cooling profile for a half-space (infinite in the depth
direction). One of these plates is attached to a slab that extends to 660 km depth,
and has an age of 100 Myr at the trench. The upper plate is modelled with a younger
thermal age, 25 Myr at the trench. Imposing an initial slab that reaches the transition
zone was found to be a more stable initial configuration in terms of instabilities
of the free surface. 7 levels of mesh refinement were used, with the largest (Q2)
elements having an edge length of 45 km, and the smallest elements have an edge
length of ∼ 700 m. The interface is modelled through an entrained weak layer approach.
A thin layer (here 2 km thick) represented by a separate composition is imposed
on the top of the subducting plate, as well as between the subducting slab and
upper plate. This composition has a low coefficient of friction, providing a shear
stress that varies between between about 10 - 20 MPa throughout the plate interface
domain. See the included model input file (.prm) for further details.
model_files:
url: ''
notes: Model setup is provided by an ASPECT input file and a WorldBuilder file (https://github.com/GeodynamicWorldBuilder/WorldBuilder).
Minor modifications to the ASPECT source code were implemented and are discussed
in the associated publication as well as the `model_code_inputs/README.md` directory.
file_tree: ''
existing_identifier: https://github.com/dansand/subduction_GJI2022
nci_file_path:
https://thredds.nci.org.au/thredds/catalog/nm08/MATE/sandifordcraig-2023-subduction/catalog.html
include: true
dataset:
url: ''
notes: "Computations were done using the ASPECT code version 2.4.0. ASPECT output
data from 2 simulations are included with this model. The reference model is the
same model setup/data described in Sandiford and Craig, (2023). An alternative
model is included in which the over-riding plate is welded to the left sidewall
at the start of the simulation (whereas the initial temperature field in the reference
model has a ridge). Note that both simulations develop a short-wavelength instability
in the free surface of the over-riding plate, which begins approximately 3 Ma
after the start of the simulation. The top level directories contains typical
ASPECT output files, including log.txt and restart files. The primary output data
consists of:\r\n\r\n- plain text files representing model topography (e.g. topography.00000)\r
\n- a range of \"field\" data, in .vtu format in the `./solution` sub-directory
(e.g. solution-00000.0000.vtu). At each output step, there are 48 vtu files written.
These can be opened with Paraview using the solution.pvd file in the top level.
Quantities generally have SI units. Velocities are output as meters/year. \r\n\
- particle information stored as .vtu files (16 per timestep). Particles were
used to track the 2-km-thick weak entrained layer that facilitates the plate interface
decoupling zone."
existing_identifier: ''
nci_file_path:
https://thredds.nci.org.au/thredds/catalog/nm08/MATE/sandifordcraig-2023-subduction/catalog.html
include: true
metadataFile: ro-crate-metadata.json
---

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