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Update Params_Electric.m
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Exclusion of H-D diffusion experiments because of inconsistencies (Novella, 2017 & Sun, 2019)

Exclusion of Dai and Karato, 2014 because of experimental design (done at single hydration value)

Inclusion of Jones et al, 2012

Correction of Poe 2010 using Jones 2012 wt% Ch2o in stead of original parameters for ppm Ch2o

Current Electrical Conductivity functions (Esigs):
esig.yosh2009 = yosh2009(T, Ch2o, P);
esig.SEO3 = SEO3(T, Ch2o, P);
esig.poe2010 = poe2010(T, Ch2o, P);
esig.sun2019 = sun2019(T, Ch2o, P);
esig.wang2006 = wang2006(T, Ch2o, P);
esig.UHO2014 = UHO2014(T, Ch2o, P);
esig.jones2012 = jones2012(T, Ch2o, P);

*All corresponding individual functions have been updated
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@sammykojo
sammykojo authored Mar 7, 2024
1 parent 01d5d43 commit 9c99e07
Showing 1 changed file with 28 additions and 70 deletions.
98 changes: 28 additions & 70 deletions vbr/vbrCore/params/Params_Electric.m
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Original file line number Diff line number Diff line change
Expand Up @@ -60,7 +60,7 @@
params.H_bmg = 0.752;

params.S_ufe = 12.2e-6;
params.H_bfe = 1.05;
params.H_ufe = 1.05;

params.S_umg = 2.72e-6;
params.H_umg = 1.09;
Expand All @@ -78,26 +78,26 @@
params.func_name='poe2010'; % the name of the matlab function
% Poe et al, 2010
% hydrous 100 axis
params.S_H100 = 10^3.86e-2; % S/m
params.S_H100 = 10^2.59; % S/m
params.H_H100 = 1.26; % eV
params.k_H100 = 8.617e-5; % eV/(mol*K)
params.a_H100 = 5.49e-2; % unitless
params.a_H100 = 1.18; % unitless
params.r_H100 = 1; % unitless
params.Va_H100 = 0; % cc/mol (activation volume)

% hydrous 010 axis
params.S_H010 = 10^0.290; % S/m
params.S_H010 = 10^3.46; % S/m
params.H_H010 = 1.5; % eV
params.k_H010 = 8.617e-5; % eV/(mol*K)
params.a_H010 = 6.64e-2; % unitless
params.a_H010 = 1.43; % unitless
params.r_H010 = 1; % unitless
params.Va_H010 = 0; % cc/mol (activation volume)

% hydrous 001 axis
params.S_H001 = 10^1.04e-3; % S/m
params.S_H001 = 10^1.02; % S/m
params.H_H001 = 0.812; % eV
params.k_H001 = 8.617e-5; % eV/(mol*K)
params.a_H001 = 3.27e-2; % unitless
params.a_H001 = 0.70; % unitless
params.r_H001 = 1; % unitless
params.Va_H001 = 0; % cc/mol (activation volume)

Expand All @@ -117,52 +117,19 @@
params.k_A = 8.617e-5; % eV/(mol*K)

params.citations={'Poe et al. (2010), "Electrical conductivity anisotropy of dry and hydrous olivine at 8 GPa", Physics of Earth and Planetary Interiors, Volume 181, Issues 3–4, https://doi.org/10.1016/j.pepi.2010.05.003'};
params.description='Poe et al 2010 Ol Conductivity for 3 crystal axises (hydrous & anhydrous)';

elseif strcmp(method,'sun2019')
params.func_name='sun2019'; % the name of the matlab function
% Sun et al, 2019
params.S = 10^(-7.4); % (m^2)/s
params.H = 130; % kJ/mol
params.R = 0.008314; % kJ/(mol*K)
params.a = 0; % unitless
params.r = 0.41; % unitless
params.Va = 0; % cc/mol (activation volume)

params.k_B = 1.380649e-23; % J/K (Nernst-Eistien constant)
params.q = 1.602e-19; % C (Elementary charge)

% Yoshino et al, 2009
% Ionic Conduction
params.S_i = 10^4.73; % S/m
params.H_i = 2.31; % eV
params.k_i = 8.617e-5; % eV/(mol*K)
params.Va_i = 0; % cc/mol (activation volume)

% Hopping Conduction
params.S_h = 10^2.98; % S/m
params.H_h = 1.71; % eV
params.k_h = 8.617e-5; % eV/(mol*K)
params.Va_h = 0; % cc/mol (activation volume)

% sig_hyd = (D.*w.*(q^2))./(k_B*T);
% sig_dry = YOSH2009_i(T) + YOSH2009_h(T);
% sig = sig_hyd + sig_dry;

params.citations={'Sun et al. (2019), "H‐D Interdiffusion in Single‐Crystal Olivine: Implications for Electrical Conductivity in the Upper Mantle" Volume 124, Issue 6, https://doi.org/10.1029/2019JB017576'};
params.description='Sun et al. H-D diffusion across doped Ol crystals for 3 crystal axis';
params.description='Poe et al 2010 Ol Conductivity for 3 crystal axises (hydrous & anhydrous), Parameters Sigma_0 and alpha are for wt% from Jones et al., 2012';

elseif strcmp(method,'wang2006')
params.func_name='wang2006'; % the name of the matlab function
% Wang, 2006
params.S_H = 10^0.100; % S/m
params.S_H = 10^3.0; % S/m
params.H_H = 87; % kJ/mol
params.R_H = 0.008314; % kJ/(mol*K)
params.a_H = 0; % unitless
params.r_H = 0.62; % unitless
params.Va_H = 0; % cc/mol (activation volume)

params.S_A = 10^0.0251; % S/m
params.S_A = 10^2.4; % S/m
params.H_A = 154; % kJ/mol
params.R_A = 0.008314; % kJ/(mol*K)
params.Va_A = 0; % cc/mol (activation volume)
Expand All @@ -173,50 +140,41 @@
elseif strcmp(method,'UHO2014')
params.func_name='UHO2014'; % the name of the matlab function
% UHO, 2014
%
params.H_v = 239; % kJ/mol
params.S_v = 5.07; % S/m
params.S_v = 10^5.07; % S/m
params.R_v = 0.008314; % kJ/(mol*K)
params.Va_v = 0; % cc/mol (activation volume)

params.H_p = 144; % kJ/mol
params.S_p = 2.34; % S/m
params.S_p = 10^2.34; % S/m
params.R_p = 0.008314; % kJ/(mol*K)
params.Va_p = 0; % cc/mol (activation volume)

params.H_h = 89; % kJ/mol
params.S_h = -1.17; % S/m
params.S_h = 10^-1.37; % S/m
params.R_h = 0.008314; % kJ/(mol*K)
params.a_h = 2.08; % kJ/mol/wt (ppm ^1/3)
params.a_h = 1.79; % kJ/mol/wt (ppm ^1/3)
params.r_h = 1; % unitless
params.Va_h = 0; % cc/mol (activation volume)

params.citations={'Gardes et al. (2014), "Toward a unified hydrous olivine electrical' ...
'conductivity law", [GeoChemistry, Geophysics, Geosystems], Volume 15, Issue 12, doi:10.1002/2014GC005496'};
params.description='Gardes derives universal Ol conductivity law based on labratory database (tested against true petrophysical data) ';

elseif strcmp(method,'DK2014')
params.func_name='DK2014'; % the name of the matlab function
% Dai & Karato, 2014
params.S_1 = 10^0.48; % S/m
params.H_1 = 74; % kJ/mol
params.R_1 = 0.008314; % kJ/(mol*K)
params.Va_1 = 0; % cc/mol (activation volume)

params.S_2 = 10^2.84; % S/m
params.H_2 = 115; % kJ/mol
params.R_2 = 0.008314; % kJ/(mol*K)
params.Va_2 = 0; % cc/mol (activation volume)

params.ch2o_o = 460; % ppm, experimental reference water content
params.r = 0.8; % unitless

% sigma = sig1 + sig2;
% sig = ((w/460).^r)'.*sigma;

params.citations={'Dai & Karato (2014), "High and highly anisotropic electrical conductivity of the asthenosphere due to hydrogen diffusion in olivine"' ...
'Earth and Planetary Science Letters, Volume 408, https://doi.org/10.1016/j.epsl.2014.10.003'};
params.description='D&K model for water content as explanation for LAB anisotropy and HCL';
elseif strcmp(method,'jones2012')
params.func_name='jones2012'; % the name of the matlab function

% Jones et al., 2012 (Hydrous)
params.jones2012_ol.S = 10.^(3.05); % S/m
params.jones2012_ol.r = 0.86; % unitless
params.jones2012_ol.H = 0.91; % eV
params.jones2012_ol.a = 0.09; % unitless
params.jones2012_ol.Va = 0; % cc/mol (activation volume)
params.jones2012_ol.k = 8.617e-5; % eV/(mol*K)

params.citations={'Jones et al. (2012), "Water in cratonic lithosphere: Calibrating laboratory- determined models ..."' ...
'Geochemistry, Geophysics, Geosystems, Volume 13, http://dx.doi.org/10.1029/2012GC004055'};
params.description='Jones et al. calibration of hydrous electrical conductivity from previous labratory experiments to South African Jagersfontein and Gibeon Xenolith in situ, Constable 2006(SEO3) used as the anhydrous component';
end

end

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