Direction of maximum horizontal stress from the stress tensor (full knowledge)

Direction of maximum horizontal stress from the stress tensor (full knowledge)

Usage

SH_from_tensor(S)

Arguments

S

3x3 matrix

Value

numeric angle in degrees. The direction of SH from North.

References

Lund and Townend, (2007). Calculating horizontal stress orientations with full or partial knowledge of the tectonic stress tensor, Geophys. J. Int., doi:doi:10.1111/j.1365-246X.2007.03468.x .

Examples

S1 <- c(-0.11163471165673433, -0.32215903156083286, 0.94008044843891103)
S2 <- c(0.97015303285724142, 0.16959307992318776, 0.17332420511879815)
S3 <- c(-0.21526909669344957, 0.93137089584437482, 0.29361108695489119)

S <- cbind(S1, S2, S3) * cbind(rep(3, 3), rep(2, 3), rep(1, 3)) / 3
SH_from_tensor(S)
#> [1] 18.95383