Semivariogram application to a matrix

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SUMMARY

Andrew Bentley, a Geology student at Temple University, is applying semivariograms to ground-penetrating radar (GPR) data for his thesis. He is utilizing MATLAB to analyze a matrix of trace data and amplitude with depth to differentiate dune types based on their internal architecture. Bentley has successfully developed a script that processes the semivariogram on a line-by-line basis of the matrix. He seeks further resources on applying formulas to matrices and is considering exploring image recognition techniques.

PREREQUISITES
  • Understanding of semivariograms in geostatistics
  • Proficiency in MATLAB for data analysis
  • Familiarity with ground-penetrating radar (GPR) data interpretation
  • Basic knowledge of matrix operations and data processing
NEXT STEPS
  • Research MATLAB functions for matrix manipulation and analysis
  • Explore geostatistical methods for semivariogram modeling
  • Investigate image recognition algorithms applicable to GPR data
  • Study case studies on dune classification using geostatistical techniques
USEFUL FOR

Geology students, geostatisticians, researchers in earth sciences, and anyone interested in applying semivariograms to geophysical data analysis.

AndrewPBentle
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My name is Andrew Bentley, a Geology student of Temple University. I am currently working on a thesis that uses a geostatistical technique that uses semivariograms on ground-penetrating radar (GPR) data.

I would have posted this in the Earth Science section but all my issues are in the Mathematical and Statistical side of things. I am having an issue (more like a lack of knowledge) on how to apply a formula to a matrix of information.

My matrix contains columns of trace data (the number of 'soundings' of GPR data as it moves across the ground) and rows of amplitude with depth corresponding to particular soundings. My hope is to use semivariograms of my GPR data to differentiate dune types via their internal architecture. To do this I will look at the plotted semivariogram data and use the size of the "range" to determine a threshold.

So my question is, how do I run a formula through a matrix of data? I am using MatLab for all my calculations. If anyone has readings I can find online on such a subject, that would be very useful as well.

I very much appreciate your help.

Andrew Bentley
 

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AndrewPBentle said:
To do this I will look at the plotted semivariogram data and use the size of the "range" to determine a threshold.

I don't understand what "size of the range" means. Can you give an example? - perhaps show a 3 by 3 matrix and explain what the size of the range is iin that case.

Are we facing a image recognition problem? Do you essentially have pictures (described by a matrices of data) and you want to classify each of them as being a particular type of dune?

Or are you processing each matirx of data to obtain a smaller set of numbers and trying to use those numbers to classify the dunes?
 
Size of the range refers to an attribute of the blotted semivariogram data. I have just actually figured out my issue. I wrote s script that allows the semivariogram to work on a line by line basis of the matrix at hand.

I will be looking into image recognition next.

Thank you.
 

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