Small Scale Heterogeneities Validation

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Introduction

We would like to validate that the media with the small-scale heterogeneities that are being generated with the new C code are correct. One way to do this would be to take a look at some plots to see if the generated heterogeneities look correct. We present a few different meshes and plots showing the heterogeneities at various depths, as well as difference plots.

Validation by Hurst Value

Mesh 0.0 Hurst

Specifications:

Hurst = 0.0
L1 = 200
d = 20
st23 = 5
n1 = 500
n2 = 1000
n3 = 1500

Plots at surface level

Matlab Code C SSH Code
Matlab H0 0.png Myssh H0 0.png
Difference
Compare H0 0.png

Plots at 50% depth

Matlab Code C SSH Code
Matlab H0 250.png Myssh H0 250.png
Difference
Compare H0 250.png

Plots for bottom slice

Matlab Code C SSH Code
Matlab H0 500.png Myssh H0 500.png
Difference
Compare H0 499.png

Mesh 0.2 Hurst

Specifications:

Hurst = 0.2
L1 = 200
d = 20
st23 = 5
n1 = 500
n2 = 1000
n3 = 1500

Plots at surface level

Matlab Code C SSH Code
Matlab H2 0.png Myssh H2 0.png
Difference
Compare H2 0.png

Plots at 50% depth

Matlab Code C SSH Code
Matlab H2 250.png Myssh H2 250.png
Difference
Compare H2 250.png

Plots for bottom slice

Matlab Code C SSH Code
Matlab H2 500.png Myssh H2 500.png
Difference
Compare H2 500.png

Mesh 0.4 Hurst

Specifications:

Hurst = 0.4
L1 = 200
d = 20
st23 = 5
n1 = 500
n2 = 1000
n3 = 1500

Plots at surface level

Matlab Code C SSH Code
Matlab H4 0.png Myssh H4 0.png
Difference
Compare H4 0.png

Plots at 50% depth

Matlab Code C SSH Code
Matlab H4 250.png Myssh H4 250.png
Difference
Compare H4 250.png

Plots for bottom slice

Matlab Code C SSH Code
Matlab H4 500.png Myssh H4 500.png
Difference
Compare H4 500.png

Validation by Correlation Length

100m Correlation Length

Specifications:

Hurst = 0.2
L1 = 100
d = 20
st23 = 5
n1 = 500
n2 = 1000
n3 = 1500

Plots at surface level

Matlab Code C SSH Code
Matlab L100 0.png Myssh L100 0.png
Difference
Compare L100 0.png

Plots at 50% depth

Matlab Code C SSH Code
Matlab L100 250.png Myssh L100 250.png
Difference
Compare L100 250.png

Plots for bottom slice

Matlab Code C SSH Code
Matlab L100 500.png Myssh L100 500.png
Difference
Compare L100 500.png

200m Correlation Length

Specifications:

Hurst = 0.2
L1 = 200
d = 20
st23 = 5
n1 = 500
n2 = 1000
n3 = 1500

Plots at surface level

Matlab Code C SSH Code
Matlab H2 0.png Myssh H2 0.png
Difference
Compare H2 0.png

Plots at 50% depth

Matlab Code C SSH Code
Matlab H2 250.png Myssh H2 250.png
Difference
Compare H2 250.png

Plots for bottom slice

Matlab Code C SSH Code
Matlab H2 500.png Myssh H2 500.png
Difference
Compare H2 500.png

100m Correlation Length

Specifications:

Hurst = 0.2
L1 = 300
d = 20
st23 = 5
n1 = 500
n2 = 1000
n3 = 1500

Plots at surface level

Matlab Code C SSH Code
Matlab L300 0.png Myssh L300 0.png
Difference
Compare L300 0.png

Plots at 50% depth

Matlab Code C SSH Code
Matlab L300 250.png Myssh L300 250.png
Difference
Compare L300 250.png

Plots for bottom slice

Matlab Code C SSH Code
Matlab L300 500.png Myssh L300 500.png
Difference
Compare L300 500.png
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