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AI-GEOSTATS: Draw a random number, Sequential Gaussian Simulation

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  • Adrian Martínez Vargas
    In the FAQ mage of AI-GEOSTATS we can see [10.2] How does Sequential Gaussian Simulation work? Transform the data into a normal distribution. Then perform
    Message 1 of 1 , May 26, 2003
      In the FAQ mage of AI-GEOSTATS we can see



      [10.2] How does Sequential Gaussian Simulation work?

      Transform the data into a normal distribution. Then perform variogram modeling on the data. Select one grid node at random, then krige the value at that location. This will also give us the kriged variance. Draw a random number from a normal (Gaussian) distribution that has a variance equivalent to the kriged variance and a mean equivalent to the kriged value. This number will be the simulated number for that grid node. Select another grid node at random and repeat. For the kriging, include all previously simulated nodes to preserve the spatial variability as modeled in the variogram. When all nodes have been simulated, back transform to the original distribution. This gives us the first realization. Repeat for all the other realizations using a different random number sequence to generate multiple realizations of the map.



      ¿¿¿¿¿ How to do these?????



      Draw a random number from a normal (Gaussian) distribution that has a variance equivalent to the kriged variance and a mean equivalent to the kriged value.



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