Worksheet for testing values of function F5 in Win-Tensor programInput cells Calculation cells Result cells

Arbitrary stress magnitudes Adjustable paramters Current value DefaultS1mag 100 F5exp: Exponent for func 2 2Psi (=S3mag / S1mag) 0.6 F5max : Function maxim 360 360S3mag (=S1mag x Psi) 60

0.05 0.055555DeltaMag 40

Resolved shear stressalpha 13.1 (angle between resolved shear direction and observed slip line)Nmag 14.208 (Resolved normal stress magnitude) Nnorm 35.52Tmag 22.13691 (Resolved shear stress magnitude) Tnorm 55.342275

Angle beta: angle on Morh circle between line going from S2 on the horizontal axis towards S3 and the line going from S2 to the point on the Mohr circle.With Ntmax = 120,7106781 : maxium possible value for (Nmag + Tmag) for beta angle = 0 - 180

F5 = D * N

F5 Tension fracturesNmag + Tmagangle beta Radian Nmag Tmag F5

0 0 0 0 0.00000 0 0.024706494 0.0000 Minimum value for beta = 0135 2.356194 85.35533906 35.35534 120.71068 14571.06781187 0.024706494 360.0000 Maximum value for beta = 135

F5 Compression fracturesS1mag - Nmag + Tmagangle beta Radian Nmag Tmag F5

45 0.785398 14.64466094 35.35534 120.71068 14571.06781187 0.024706494 360.0000 Minimum value for beta =45180 3.141593 100 6E-015 0.00000 3.7493995E-029 0.024706494 0.0000 Maximum value for beta = 1805

Calculation of optimization function F5Nnorm+TnormNnorm Tnorm F5

Tension fractures 35.52 55.34228 90.862275 8255.953018176 0.024706494 203.9757

S1mag - Nmag + Tmag F5Compression fractures 35.52 55.34228 119.822275 14357.37758618 0.024706494 354.7205

Nnorm - Tnorm + (100-Ntmax) F5Shear fractures 35.52 55.34228 0.8884031 0.7892600681 0.024706494 0.0195

Slickensided faultangle alpha Radian Member1 x (1-R) Max. value

Member 1 13.1 0.228638132 0.11407 4.6843258898 4.45011 18.00Nnorm - Tnorm +

Nnorm Tnorm (100 - Ntmax) Member2 x RMember 2 35.52 55.34228 0.8884031 0.7892600681 0.024706494 0.019500 0.00097 342.00

F5prop : Relative contribution of the two members for fault-slip data

Calculation of Ntmax (the maximum possible value of (Nmag + Tmag) on a Mohr Circle

D (Differential stress factor)

N (Normalization factor)

(Nnorm-Tnorm) ^F5exp

F5max / (NTmax^F5exp)

(Nnorm-Tnorm) ^F5exp

F5max / (NTmax^F5exp)

(Nnorm-Tnorm) ^F5exp

F5max / (NTmax^F5exp)

Sin (alpha/2)

(Sin(alpha/2))^F5exp * F5max

(Nnorm-Tnorm) ^F5exp

F5max / (NTmax^F5exp)

F5 F5 4.45108 360.00

Sheet1