Background physics
The physics behind
GUNDALF is based on the work of Robert Laws reported in Laws, Hatton
and Haartsen, (1990), "Computer Modelling of Clustered Airguns",
First Break, vol. 8, no. 9, (Sept.) and earlier published contributions
by Anton Ziolkowski, Svein Vaage, Gregg Parkes and Bill Dragoset supported
by experimental work done by Tor Haugland, Mike Hall and others. The
model solves a complex set of differential equations combining both
heat transfer and dynamics. Over the last 10 years, this has been incrementally
refined with modifications to the physics by Les Hatton to attempt to
handle the 'super-foam' region of colliding bubbles and also to handle
innovations such as injector guns. Periodically over the years, the
model has been calibrated against measurements of non-interacting guns
and interacting clusters notably those supplied by Mike Hall originally
of Horizon. In most cases, the model produces signatures within a few
percent of the measurements and accurately models the phase-locking
of airgun clusters reported in the above paper.