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Wave Equation Programs

Wave Equation Programs

TNOWAVE represents a group of wave equation application programs and is a powerful simulation tool to predict pile behaviour. The TNOWAVE applications are suitable for simulating pile-soil interaction under dynamic conditions.

TNOWAVE is based on the one dimensional stress wave theory and allows the modelling of:

  • All types of vibratory and impact hammers with anvils and cushions
  • Piles with cross sectional variations and cracks
  • Tubular steel piles, open ended or closed
  • Shaft friction and toe resistance

TNOWAVE applications
TNOWAVE has the following application modules:

  • PDPWAVE for impact hammer and vibratory hammer driveability studies
  • SITWAVE to determine local pile defects from sonic integrity testing signals by signal matching
  • DLTWAVE to determine pile bearing capacity from a dynamic load test by signal matching

All TNOWAVE modules are designed for professional geotechnical engineers as well as technical practitioners to make pile behaviour predictions and simulations.
Each module is a powerful program including a digital manual and Help functions with practical
examples to assist the user. New users are strongly advised to follow a training course at the
Profound Academy.

The advantage of the user interface is that the design has been kept simple and logical for the user. The program has three application levels.

In this case the program sets default values and many actions are performed automatically.

The user has access to the fundamental parameters of the program and can apply his/her own experience.


The advanced option allows for maximum flexibility and is intended for experienced users, giving them access to a multitude of input parameters and programming options.


Advantages of TNOWAVE applications

  • Accurate prediction results from the method of characteristics algorithm, eliminating potential numerical instability which may be experienced with other discrete lumped mass based models
  • Large variation of input options for hammer, pile and soil selection
  • User-friendly interface for the geotechnical parameters
  • Soil input with digitising option for CPT, SPT, Cu, DMT, PMT and Soil Laboratory results
  • Soil data input with GEF files (Geotechnical Exchange File)
  • Multiple soil fatigue models
  • Extensive graphical options for processing of prediction results


PDPWAVE for impact hammer Pile Driving Prediction PDPWAVE simulates the pile driving process for many combinations of pile driving hammers (either impact or vibratory), cushions, pile types, and soil conditions.

With the results of PDPWAVE the piling engineer can:
• Perform driveability studies
• Optimize the selection of the hammer
• Select the maximum energy level without damaging the pile
• Increase the efficiency of the pile driving equipment
• Predict compression and tensile stresses in the pile

pile modelling from Sonic Integrity Testing signals SITWAVE is used to estimate the dimensions and location of pile defects from SIT signals. In SITWAVE the user builds a model
of the pile and the soil using a reference pile from the project. Subsequently the measured signals are compared with the simulated signals and the pile parameters will be automatically
adjusted until a good match is obtained.

signal matching for Dynamic Load Testing (DLT)
DLTWAVE simulates the dynamic load test obtained with the signals of a PDA/DLT-system. The pile and soil are modelled. In an automatic interactive way soil model parameters are adjusted. Measured and calculated signals are matched to determine the capacity and the static load displacement behaviour of the pile from the DLT test results.


New users are strongly advised to follow a training course at the Profound Academy.
Read more here.