DOI: 10.5281/zenodo.4072254
title: Dome A Inverse Model

description: This is the result of a geophysical inversion for the ice sheet and basal hydrological state around Dome A, East Antarctica. The datasets used to constrain the inversion are observations of basal water, basal freeze-on, internal layers, and a geothermal flux prior. The inversion solved for best-fit geothermal flux and accumulation rate fields, along with their respective uncertainty and skewness, and also partitioned the fractional contribution of each individual data type towards constraining the final answer. Note that skewness fields are not statistically significant, but they are provided here for completeness anyway.Also included is the ice sheet state produced by the best-fit forward model, including: englacial and basal temperatures, basal melt/freeze rate and water flux, strain heating, hydraulic heating (ie, the combined thermal effect of PMP changes and viscous dissipation in the water system), ice velocity, strain rate, viscosity, and shape function; plus post-processing variables like ice age, best-fit H* in a D-J model, freeze-on thickness, model echo-free-zone thickness, isotopic smoothing due to diffusion, the oldest useful ice for ice coring, and the normalized elevation at which the oldest useful ice is found.

 

Parameters included in the inversion results for both geothermal flux and accumulation rate: output of evolutionary algorithm, local optimization correction, best-fit fields, uncertainty estimate, skewness estimate, and fractional constraints contributed by the five constraints used in the inversion (water observations, freeze-on observations, internal layer observations, GHF prior, and smoothness contraint). Also contains an estimate of the bias in geothermal flux induced by the use of smoothed gridded topography that does not fully capture the deep narrow valleys where water is present. All inversion results variables are 2D.Best-fit model results include: englacial temperature (3D), basal temperature (2D), basal logical state (wet/dry; 2D), basal melt rate (2D), basal water flux (2 components plus magnitude, 2D), hydraulic heating (sum of viscous dissipation and supercooling in basal hydrological system, 2D), ice velocity (3 components, 3D), vertically averaged ice velocity (2 components plus magnitude, 2D), effective strain rate (3D), effective viscosity (3D), horizontal velocity shape function (3D), strain heating (3D), corner elevation in best-fit D-J model (2D), freeze-on thickness (2D), ice age (3D), spreading length from isotopic diffusion (3D), echo-free-zone thickness (2D), oldest useful ice for ice coring (2D), and the normalized elevation of the oldest useful ice (2D). Best-fit model also includes a misfits structure describing the misfit with the observational constraints.Units: all velocities (including accumulation rate and basal melt rate) are in m/yr. Water flux is in m^2/yr. Strain rate is in 1/yr. Ice age is in yr. All other variables are in MKS units (temperature is in K, geothermal heat flux and hydraulic heating are in W/m^2, strain heating is in W/m^3, viscosity is in Pa*s, etc).

Files are provided in both .mat format and netcdf format.  The mat-files have slightly more information, such as the model parameters and the data constraints.  The netcdf files have 2D and 3D grids only.  The inversion was run twice, once with BedMachine as the basal topography input and once with Bedmap2 as the basal topography input.  Both versions use Martos et al. (2017) as the GHF prior.  The version with BedMachine is considered the preferred version.

Full explanation given in a pair of papers publishd in JGR: Earth Surface:



Wolovick, M. J., Moore, J. C., & Zhao, L. (2021). Joint Inversion for Surface Accumulation Rate and Geothermal Heat Flow From Ice-Penetrating Radar Observations at Dome A, East Antarctica. Part I: Model Description, Data Constraints, and Inversion Results. Journal of Geophysical Research: Earth Surface, 126(5), e2020JF005937. https://doi.org/10.1029/2020JF005937

Wolovick, M. J., Moore, J. C., & Zhao, L. (2021). Joint Inversion for Surface Accumulation Rate and Geothermal Heat Flow From Ice-Penetrating Radar Observations at Dome A, East Antarctica. Part II: Ice Sheet State and Geophysical Analysis. Journal of Geophysical Research: Earth Surface, 126(5), e2020JF005936. https://doi.org/10.1029/2020JF005936

 

Edit for Version 3, October 7, 2024:  I added the actual scripts for the model itself, along with the input files used to run the model. I also updated the desciption with the references to the actual published papers.

 

Edit for Version 4, May 20, 2025:  I forgot to include one script (makerednoise2.m), so I uploaded that script.