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8 Module Variogram Models; M. Makkawi, PhD 1 Semivariogram Models It is a mathematical expression that results from curve fitting a function to the experimental variogram. Models are used to determine variogram parameters that 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)

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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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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 •

8 Module Variogram Models; M. Makkawi, PhD

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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