Data Analytic (formulae, logics)

Data Analytic (formulae, logics)

 

Utility Formulas Description Symbol Definitions
i=k*zO width of settlement trough i=width of settlement trough(mm)
Smax=S/e^(-x^2/2*i^2) predicted maximum settlement from settlement reading zO=depth(mm)
S=Smax/e^(-x^2/2*i^2) settlement at x distance from know Smax k=coefficient
s=-2.5*i*Smax settlement volume area s=settlement(mm)
VL=s/(π/4*d^2) volume loss using volume area  Smax=predicted maxsettlement(mm)
Smax=-(0.00313*VL*d^2)/i Smax from value loss s=settlement volume area(mm^2)
v=π/4*d^2*VL volume of settlement trough (v) using volume liss VL=volume loss
v=S*ν(2*π*i^2)/e^(-y^2/2i^2)*(g(xi)-g(xf)) volume of settlement trough using know settlement using reversed          function to predict settlement in 3D d=diameter(mm)
S=v*e^(-y^2/2i^2)*(g(xi)-g(xf))/ν(2*π*i^2) settlement at certain point using know volume g(x)=gaussian function applied to x
    e=exponential constant