covarianceStructure3D-init: Covariance structure

In italo-goncalves/geomod3D: Implicit 3D Geological Modeling and Geostatistics

Description

Representation of one structure in a spatial continuity model.

Usage

covarianceStructure3D(type = c("gaussian", "exponential", "spherical",
  "cubic", "matern1", "matern2", "cauchy"), contribution, maxrange,
  midrange = maxrange, minrange = midrange, azimuth = 0, dip = 0,
  rake = 0, power = 1)

Arguments

type	The type of covariance function represented (see below).
contribution	The variance associated with this structure.
maxrange, midrange, minrange	The structure's range in three orthogonal directions, or the three semi-axes of the covariance ellipsoid.
azimuth, dip, rake	Orientation of the covariance ellipsoid in geological coordinates.
power	The power parameter for the covariance functions that feature one.

Covariance functions

The following functions are available for the type parameter. In the equations below, d is the anisotropy-corrected distance between two points and p is the power parameter. Functions marked with an asterisk support modeling with structural data.

gaussian*

exp(-3*d^2)

exponential

exp(-3*d)

spherical

1 - 1.5*d + 0.5*d^3, 0 <= d <= 1

cubic*

1 - 7*d^2 + 35/4*d^3 - 7/2*d^5 + 3/4*d^7, 0 <= d <= 1

matern1*

(1 + 5*d) * exp(-5*d)

matern2*

(1 + 6*d + 12*d^2) * exp(-6*d)

cauchy*

(1 + d^2)^(-p), p > 0

See Also

covarianceStructure3D-class, covarianceModel3D-class

italo-goncalves/geomod3D documentation built on May 24, 2019, 2:49 p.m.