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Page 1: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Semivariogram Models• It is a mathematical expression that results from

curve fitting a function to the experimental variogram.

• Models are used to determine variogram parametersthat are necessary in both estimation (kriging) and conditional simulation procedures.

• Model variograms can be classified according to the presence or absence of sill into two groups:

• Models with sill (transition models)• Models without sill (drift or trend models)

Page 2: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Semivariogram Models

Page 3: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Models with Sill

Page 4: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Models with Sill

Page 5: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Models without Sill

Page 6: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Models without Sill

Page 7: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Types of ContinuityContinuous Variogram

Page 8: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Types of ContinuityLinear Variogram

Page 9: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Types of ContinuityNugget Variogram

Page 10: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Types of ContinuityRandom Variogram

Page 11: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Zone of InfluenceVariogram Ranges

Page 12: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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Zone of InfluenceGeologic Structure Ranges

Page 13: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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AnisotropyGeometric Anisotropy

Page 14: Semivariogram Models - Faculty Personal Homepage- KFUPMfaculty.kfupm.edu.sa/ES/makkawi/GEOL584/Module8.pdf · Variogram ModeModule 8 ls; M. Makkawi, PhD 1 Semivariogram Models •

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AnisotropyZonal Anisotropy


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