Viscosity Measurements at High Pressures: A Critical Appraisal of Corrections to Stokes' Law

Ashley, Aaron Wolfgang; Mookherjee, Mainak; Xu, Man; Yu, Tony; Manthilake, Geeth; Wang, Yanbin

doi:10.1029/2023JB028489

Title: Viscosity Measurements at High Pressures: A Critical Appraisal of Corrections to Stokes' Law

Journal Article · 01 May 2024 · Journal of Geophysical Research. Solid Earth

DOI: https://doi.org/10.1029/2023JB028489 · OSTI ID:2345259

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^[2];

^[3];

^[4]; Wang, Yanbin ^[3]

Earth Materials Laboratory Department of Earth, Ocean and Atmospheric Sciences Florida State University Tallahassee FL USA
Earth Materials Laboratory Department of Earth, Ocean and Atmospheric Sciences Florida State University Tallahassee FL USA, Earth and Planets Laboratory Carnegie Institute for Science Washington DC USA
Center for Advanced Radiation Sources The University of Chicago Chicago IL USA
Laboratoire Magmas et Volcans CNRS IRD OPGC Université Clermont Auvergne Clermont‐Ferrand France

Abstract Fluids and melts in planetary interiors significantly influence geodynamic processes from volcanism to global‐scale differentiation. The roles of these geofluids depend on their viscosities ( η ). Constraining geofluid η at relevant pressures and temperatures relies on laboratory‐based measurements and is most widely done using Stokes' Law viscometry with falling spheres. Yet small sample chambers required by high‐pressure experiments introduce significant drag on the spheres. Several correction schemes are available for Stokes' Law but there is no consensus on the best scheme(s) for high‐pressure experiments. We completed high‐pressure experiments to test the effects of (a) the relative size of the sphere diameter to the chamber diameter and (b) the top and bottom of the chamber, that is, the ends, on the sphere velocities. We examined the influence of current correction schemes on the estimated viscosity using Monte Carlo simulations. We also compared previous viscometry work on various geofluids in different experimental setups/geometries. We find the common schemes for Stokes' Law produce statistically distinct values of η . When inertia of the sphere is negligible, the most appropriate scheme may be the Faxén correction for the chamber walls. Correction for drag due to the chamber ends depends on the precision in the sinking distance and may be ineffective with decreasing sphere size. Combining the wall and end corrections may overcorrect η . We also suggest the uncertainty in η is best captured by the correction rather than propagated errors from experimental parameters. We develop an overlying view of Stokes' Law viscometry at high pressures.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: NONE; AC02-06CH11357

OSTI ID:: 2345259

Alternate ID(s):: OSTI ID: 2345260

Journal Information:: Journal of Geophysical Research. Solid Earth, Journal Name: Journal of Geophysical Research. Solid Earth Journal Issue: 5 Vol. 129; ISSN 2169-9313

Publisher:: American Geophysical Union (AGU)Copyright Statement

Country of Publication:: United States

Language:: English

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