CHAPTER 8

INTERACTION OF SIMULTANEOUS SURFACE BURSTS
Circumstances have arisen leading to concern over how the effects
of multiple bursts would differ from those of single bursts. For
example, multiple reentry vehicles, row-charge atomic demolition

munitions, and barrages from nuclear artillery provide scenarios
for the occurrence of multiple bursts nearly simultaneous in time
and space.

The United States has no experience with multiple bursts in the
atmosphere.
Under the Limited Nuclear Test Ban Treaty, the only

recourse is to theoretical analysis and laboratory modeling.
analysis is
aerodynamic
interacting
some use in

Theoretical

both mathematically and computationally difficult, involving
and thermodynamic modeling of complex flow fields and
forces in time and space.
Laboratory modeling, while of
confirming theoretical analysis, suffers from experimental

difficulties and inadequate representation of real-world phenomena.

An essential element for theoretical analysis of possible multipleburst interactions is a vortex model of the rising nuclear-debris cloud.
Work in this area is being performed by Major Dan Matuska at the Air

Force Weapons Laboratory (AFWL), using the Shell Oil code, Dr. William

Layson at Science Applications, Incorporated, using LADUST, WEDUST,
DUSTEN, and VORDUM models, and Dr. Timothy Fohl, formerly at Mt. Auburn
Research Associates (MARA), using a buoyant vortex ring model.

As yet, very little work has been reported on the actual interactions
between the rising nuclear-debris clouds from multiple bursts. Independent

efforts in this area have been performed by MARA and are being performed
by AFWL.
Preliminary results from MARA for simultaneous, space-separated,

equal-sized nuclear bursts on the same horizontal surface indicate that
the bursts will interact if separated by an injtial center-to-center
distance of less than five fireball diameters.
This interaction results
in the clouds merging to form a single cloud which will rise to a
stabilization height that is markedly less than the stabilization height
to be expected from the individual clouds if they had not interacted.

A MARA example for the side-by-side collision of two 13.5 MT clouds
indicatesa center height of the combined cloud of 14-19 km, whereas the
center height of a single cloud would be ~ 25 km.

The results so far are necessarily preliminary and leave unanswered,

even on a model scale, questions of bursts of non-equal yields, or notquite-simultaneous bursts, or bursts not at the same height, or combinations
of these.
The results do indicate how far apart bursts must be to be
considered independent and non-interacting.
For purposes of making
hypothetical-attack studies, the Subcommittee recommends that megaton

bursts more than 700 wi/3 ¢t apart (7000 ft for 1 MT) be treated as
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