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.

Common parameters:

d = 20
st23 = 5
n1 = 500
n2 = 1000
n3 = 1500

Validation by Hurst Value

In this test, we vary hurst to be either 0.0, 0.2, or 0.4. L1 is held constant at 200m.

Plots at surface level

Matlab Code 0.0 Hurst C SSH Code 0.0 Hurst Difference 0.0 Hurst
Matlab Code 0.2 Hurst C SSH Code 0.2 Hurst Difference 0.2 Hurst
Matlab Code 0.4 Hurst C SSH Code 0.4 Hurst Difference 0.4 Hurst

Plots at 50% depth

Matlab Code C SSH Code
Difference

Plots for bottom slice

Matlab Code C SSH Code
Difference

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
Difference

Plots at 50% depth

Matlab Code C SSH Code
Difference

Plots for bottom slice

Matlab Code C SSH Code
Difference

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
Difference

Plots at 50% depth

Matlab Code C SSH Code
Difference

Plots for bottom slice

Matlab Code C SSH Code
Difference

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
Difference

Plots at 50% depth

Matlab Code C SSH Code
Difference

Plots for bottom slice

Matlab Code C SSH Code
Difference

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
Difference

Plots at 50% depth

Matlab Code C SSH Code
Difference

Plots for bottom slice

Matlab Code C SSH Code
Difference

300m 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
Difference

Plots at 50% depth

Matlab Code C SSH Code
Difference

Plots for bottom slice

Matlab Code C SSH Code
Difference