(6) is as follows: X [intersection] Z is the union of a Poisson number (mean v(Z)) of independent objects of the form [[tau].sub.[??]]A where A is distributed like [F.sup.Z] and [??] is a uniform point over [[delta].sub.A]Z.
Proposition 1 X [intersection] Z is the union of a Poisson number (mean v(Z)) of typical objects hitting Z.
Parameter Soil 1 2 Units CS1 SM Thickness h [m] 0-4.5 4.5-7 Bulk density [gamma] [kN/[m.sup.3]] 18.5 18 Modulus of elasticity E [MN/[m.sup.2]] 4 15 Poisson number
v [-] 0.35 0.3 Cohesion c [kN/[m.sup.2]] 14 5 Internal friction angle [phi] [[degrees]] 24.5 29 Parameter 3 4 5 CS2 S-F Slate Thickness h 7-12.5 12.5-20 20-X Bulk density [gamma] 18.5 17.5 24 Modulus of elasticity E 4 25 60 Poisson number
v 0.35 0.3 0.25 Cohesion c 14 1 100 Internal friction angle [phi] 24.5 31.5 Table 2 Parameters of ICE type 18 RF-ts vibratory hammer (www.ice-holland.com).
The compression wave propagates in the direction of the normal line of contact x at dilation speed [c.sub.1] the magnitude of which depends on modules E and G, Poisson number
[eta], Lame constant [[lambda].sub.1] and density [rho].
where [E.sub.seis] is Young's modulus of elasticity determined by a seismic way, v is Poisson number
and p is bulk density of a medium.