This article exploits the interaction dynamics of the elastic oceanic crust with the underlying mush complexes (MC) to constrain the axial topography of mid-ocean ridges (MORs). The effective viscosity (μeff) of MC beneath MORs is recognized as the crucial factor in modulating their axial high vs flat topography. Based on a two-step viscosity calculation (suspension and solid-melt mixture rheology), we provide a theoretical estimate of μeff as a function of melt suspension characteristics (crystal content, polymodality, polydispersity, and strain rate) and its volume fraction in the MC region. We then develop a numerical model to show the control of μeff on the axial topography. Using an enthalpy-porosity-based fluid formulation of uppermost mantle, the model implements a one-way fluid–structure interaction that transmits viscous forces of the MC region to the overlying upper crust. The limiting non-rifted topographic elevations (−0.06–1.27 km) of model MORs are found to occur in the viscosity range of μeff = 1012–1014 Pa s. The higher end (1013–1014) Pa s of this spectrum produces axial highs, which are replaced by flat or slightly negative topography as Pa s. We discuss a number of major natural MORs to validate the model findings.
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June 2023
Research Article|
June 15 2023
Control of mush complex viscosity on mid-ocean ridge topography: A fluid–structure model analysis

Joyjeet Sen;
Joyjeet Sen
(Conceptualization, Data curation, Formal analysis, Funding acquisition, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft)
Department of Geological Sciences, Jadavpur University
, Kolkata 700032, India
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Shamik Sarkar
;
Shamik Sarkar
(Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Writing – original draft)
Department of Geological Sciences, Jadavpur University
, Kolkata 700032, India
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Nibir Mandal
Nibir Mandal
a)
(Conceptualization, Project administration, Resources, Supervision, Writing – original draft)
Department of Geological Sciences, Jadavpur University
, Kolkata 700032, India
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Joyjeet Sen
Shamik Sarkar
Nibir Mandal
a)
Department of Geological Sciences, Jadavpur University
, Kolkata 700032, India
Physics of Fluids 35, 066604 (2023)
Article history
Received:
March 31 2023
Accepted:
May 25 2023
Connected Content
A companion article has been published:
Explaining mid-ocean ridge topography with magma viscosity
Citation
Joyjeet Sen, Shamik Sarkar, Nibir Mandal; Control of mush complex viscosity on mid-ocean ridge topography: A fluid–structure model analysis. Physics of Fluids 1 June 2023; 35 (6): 066604. https://doi.org/10.1063/5.0152667
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