Ry. Liang et J. Zhou, PROBABILITY METHOD APPLIED TO DYNAMIC PILE-DRIVING CONTROL, Journal geotechnical and geoenvironmental engineering, 123(2), 1997, pp. 137-144
An energy approach previously developed as an alternative to the conve
ntional dynamic pile-driving control methods (e.g., ENR and Gates form
ula) has been formulated in a probabilistic framework. The Smith-model
parameters incorporated in the energy approach, including the damping
factor and the quake, were treated as random variables whose mean val
ues, standard deviations, and probability distribution functions were
determined from a statistical analysis of a database of 204 pile cases
. The Smith parameters for each pile case were derived from the back-c
alculation process in relation to the Case Pile Wave Analysis Program
(CAPWAP) signal-match procedure. The first-order second-moment (FOSM)
method was used in the probabilistic energy approach to compute the me
an value and standard deviation of the pile capacity. A detailed descr
iption is given of the database, the statistical analysis results, and
the mathematical formulation of the probabilistic energy approach. Th
e developed probability approach was applied to the 204 pile cases. Th
e agreement between the computed pile-capacity and the static load tes
t results is either slightly better than or equally as good as the com
parison between the traditional CAPWAP deduced pile-capacity and the s
tatic pile-load test results. The required inputs in the probabilistic
energy approach are the energy delivered to the pile head during each
hammer blow the blow count per 0.3 m of pile penetration, the maximum
velocity at the pile head, and the pile dimensions and elastic proper
ties. The required instrument for this method is much simpler compared
to that required by the Case and CAPWAP methods, leading it to be an
attractive and economic method for pile-driving control in the field.