SUMMARYThe analysis of measured stress waves for the prediction of static pile capacity is described. The usual method of using the measured velocity record as the input boundary condition in a wave equation analysis with a finite element model, if not properly implemented, can lead to significant numerical errors. An alternative scheme using an accurate prescribed displacement procedure with the measured displacement record (obtained from the integration of the velocity) is proposed, and is shown to be very efficient. These aspects of the numerical modelling procedure are illustrated by a case study.
INTRODUCTIONDevelopments in electronics technology have made it possible to make reliable measurements of force and acceleration near the pile head during impact driving, and a number of proprietory systems have been developed for this purpose. The record of force or velocity (integrated from the acceleration) is used as the input boundary condition in a wave equation model, and the other quantity is computed. The computed values are then compared with the measured values. The analysis may then be repeated by adjusting the soil parameters, with due consideration for the mechanics of stress-wave theory, until no further improvement can be made. The time taken to achieve a reasonable match depends very much on the ability of the operator. Experience with piles in the same site or piles with similar stress-wave profiles can help to reduce analysis time significantly. When a reasonable match is obtained, the soil parameters used in the wave equation model are assumed to be reasonably close to the actual values along the pile shaft and at the pile toe. It is always a good practice to perform a reverse analysis. For example, if the measured force trace was used as an input boundary for the velocity match, then a satisfactory force match should be obtained when the measured velocity trace is used as the input boundary. If the reverse analysis does not result in a reasonable match, then the measured traces may not be compatible, indicating that one or both of the measurements may have significant errors.The use of the measured stress waves as boundary conditions in the analysis eliminates the uncertainty associated with the energy transferred to the pile by the driving system. It is found that this approach gives reasonably good predictions of static pile capacity. One of the earliest papers to describe this procedure was by Rausche et al.,l from which further details may be obtained.The field sampling time for the velocity and force traces using a pile driving analyser is 0.1 ms, and this is the timestep which should be used in wave equation analysis so that all the information in the measured signals may be assimilated. A larger timestep may cause important signals to be