peak overpressure vs scaled distance for tnt surface bursts (hemispherical charges)
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8/9/2019 PEAK OVERPRESSURE VS SCALED DISTANCE FOR TNT SURFACE BURSTS (HEMISPHERICAL CHARGES)
1/23
UNCLASSIFIED
AD NUMBER
AD443102
NEW LIMITATION CHANGE
TO
Approved for public release, distribution
unlimited
FROM
Distribution: Further dissemination only
as
directed
by
allistic
Research
Lab.,
Aberdeen
Proving
Ground,
MD.,
Apr
1964
or
higher DoD
authority.
AUTHORITY
USAARDC
ltr, 7
Sep
1977
THIS
PAGE IS UNCLASSIFIED
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pull,
11II1
f l
--. MEMORANDUM
REPORT NO. 1518
"-21
APRIL
1964
.71443102i
n,
a AV
PEAK OVERPRESSURE
VS SCALED
DISTANCE
FOR
TNT SURFACE
BURSTS
(HEMISPHERICAL
CHARGES)
C.N.KIngery
B. F. Pannill
till,l
RDr
& EProject No.
1MOO.5O
!.O-5W
"BALLISTIC
RESEARCH
LABORATS'I"ES
ABEn:R:DEN PROVING RRO1ND. MARYL AND'
"RPioducmb FCom
Bes Avalgable
Copi
k7
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8/9/2019 PEAK OVERPRESSURE VS SCALED DISTANCE FOR TNT SURFACE BURSTS (HEMISPHERICAL CHARGES)
3/23
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other than in
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with
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government
procurement
operation,
the, U. S.
Government tbereby
incurs no
re~ionsibility,
nor
utiy
obligation whatsoever; and
the
fact
that
tho GoverTn-
met ayhave
fo fOtedI ~ 4Nriehed,
ohr~ in nn w
supplied
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neil
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thereto.
e iy
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DDC AVAILABILITY
NOTICE
Qualified
requesters may obtain copies
of
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from
DDC.
Foreign
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of
Thii-,
,port,
by DDC .1
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The
P'
ndings in this
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Ar-nTW
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edo"00
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8/9/2019 PEAK OVERPRESSURE VS SCALED DISTANCE FOR TNT SURFACE BURSTS (HEMISPHERICAL CHARGES)
5/23
(~r~1~lMWORM~UM
RE~PORT
NO.
1518
APRIL
1964
PE~AK
OVERPRESSURE
VS
SdALED
DISTANCE
FOR
TN~T
SURFACE'
BU1STS
(HFaMSPHER.ICAL
CIMA1OES)
C. N.
Kingery
B. F.
Pannill
Terminal
Balliatice
Ltabora~tory
Program
wau
o.uppor'ted
in
pr~rt by
the
Derenvo
Atomic
Support
Agcr,,ny;
WEB
NO.
02.0b)1
Reproduced
Fro
Bfest
Available
C
R TI
& E
Project No.
IM010501A006
A i~:~~
I'
l N
I H OVILN
G R 0U
N
D,
M
A
R
Y1,AN 1
-
8/9/2019 PEAK OVERPRESSURE VS SCALED DISTANCE FOR TNT SURFACE BURSTS (HEMISPHERICAL CHARGES)
6/23
B3A
L LIS
T IC
RE SE
A
RC
H L
A
B
RA T
H I
N
MEMORANDUM REPORT NO. 1.5,03
CNKingary/I
31II'lnni i i pnr1
Aberdeen. Proving Ground, Md .
April
1964
PEAK
CV
.PRES39RE~ VS3
SCALED
DIS1TANCE
FOR~ TNT SURFACE
13UIR M
(HEMISPHERnICAL CHtARGES~)
AMSTRACT
This report
containa a
preaentation
of' peak
overprearlu~re verouui
.:;cati
dioutance
va~lues derived from emnpiLrical
mcar~urcmanti:no
by
Ctuinda,
1.hr,
United, Kingdom axid the United 3tateo.
The can ~muflmwti3
wcrt made, on )
a~nd 100
ton. TNT t3urface
burote.
Thc chargetit wt.rv
hemiop~heric~al in
:iluyt
wid
the
1nrvtrumentation
included
overprcuoiure
veri',i
LIMV
Fggr?:
rI.d.
Ulc 110UtAO
optical Lihock front
velocity technique for detti-rminin&g
ptlLk
ovtrp~rc~u~rt-.
0
0y
-
8/9/2019 PEAK OVERPRESSURE VS SCALED DISTANCE FOR TNT SURFACE BURSTS (HEMISPHERICAL CHARGES)
7/23
TABLE
OF CONTENTS
ABSTRACT .................... ......... ................... .
OBJECTIVES
.
.
BACKGROUND .
.
. .
RESULTS.
....... . . . . . . . . . . .
SCALING. ....... . . . .
. . . . .
COMPARISONS
.....
. ..........
I.0
1WREKE S
...
-- 0
0
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8/9/2019 PEAK OVERPRESSURE VS SCALED DISTANCE FOR TNT SURFACE BURSTS (HEMISPHERICAL CHARGES)
8/23
JECTrVES
The
primary
objective
of this
report
is
to
present
a
compilation
of
overpressure
measurements
obtained
from
a
aeries
of TNT
detonationo.
For
maMy
years
there
has
been
a
need
for
a
reliable
aurface
burnt
peak
ovcrpr,3urc'
versus
distance
curve
extending
from
2000
psi
to
.01 psi.
Curves
presenting
overpressure
versus
radial
distance
(measured
and
theoretical)
have
been
available
for many
years
for
spherical
charges
detonated
in
free
air.
ThI
is
not
true
however,
for curface
burst
overpreosu-re
curvez
which
In
generalrn
have
been
over a
limited
range
of overpressure.
and
haed
on
either
,nial.l
charges
or
charges
fired
utdor
variouu
environmental conditionn,
making
reliable
scaling
difficult.
It
ic
the
objective
of
thin
report
to
combij,"
measurements
made
by
Canadian,
United
Kingdom
and
United
Statet
cn.Ltint
into
one
report
which
might
be
used
as a
s
tandard
for TNT
nurJace
burotlt.
BACKGROUND
Tho
Sufrield
Experimental
Station (0003)
working
under
tch guLdzhtct
oul
the
Defense
Research
Board
of
Canada
begnn
a oeriezz
or ['Lhld
txprtintmto
relating
to
blast
an&
shock
using
yleldn
of
5
tons of'
TmpN
n
1959.
phe U.2.
was
invited
to
participate
in
one of
the
trialti
in
J),ptemhr
b9. W'
accepted
this
invitation,
and
sent a
blast
tcaunz
from
the B3"Jli:slc
,.rienroh
Laboratories
(BRL)
to
Gntablish
a
blast
line
and to
mnanure
the
overpreorurt.
versus
time
at
selected
Airtances
from
ground
zero.
The
preiminlrary
reunl
tL:
were
reported
in
a
technical
paper
publirbed
by
01+,`
wlth
it very
lUn Lt4, d
distribution('l).
The
results
obtained
by
the
Canadian
teum
were
reported
Ln
SuTield Technical
Ppnr No. 0 along with
renult:n of Vour
other 5 ton
shoto.
The
Car.adian
results
were
prJrnarily
peak
overprenuiure
vwlueo
obtixvn'dti
from
5.
hoto-optical
technique.
In
1960
a 20
ton
TNT
test
was
conducted
at
SES
i,_n,.L..
Lvh!
U.
2.
nponoored
several
projecto.
One of
the
major
projuetti
fruoi
thW U.
., IL
the
measurement
of overpressure
versun
diotance
by BP'.
Tih
United
Kingdom
(UY,)
also
participated
with
several
eprojecto,
one
of
which
won at,,zo
U)
measure
overpre,::uru
versun
distance.
A
Tripartite
blaut
line
wan
establithed
and the
three
countriei
placed
varioui
pr.: uuru
tLrf f
zzur!,
at
zi;mLlar
diotaneeu
along,
thb-
bl.u t
int',v or
cumpart:!con.
h :
rrzu
lt:,
Reproduced
'rFo'
Best
Available
CoPY
-
8/9/2019 PEAK OVERPRESSURE VS SCALED DISTANCE FOR TNT SURFACE BURSTS (HEMISPHERICAL CHARGES)
9/23
from the
tripartita
blast line
were published
in
Suffield Report No. 203J3.
A
third
test
in
which
the
BRL
participated wan
the 1961
Canadian
.1Oo
t
triLl. Ucre
again
Canada, the U. K.
and
the
U.
S.
inotrumented
blast lines
and
recorded the overpressure verouo time
at
LCl
(Ctcc1htW)tc;C
from ground
zero. The
results
from
this
test have not been publicuhod
in
final
form
by all participants although
preliminrvy data
io
avallabl.c.
The
final U. S.
data
are
available
in
a
BRL
report and
the
preiLmintLry
data from Canada
were obtained
from
private correopondence 5).
Data from
the
U. K.
are reported
in reference
(6) and have altio
boer compiled
in
thL;
report.
RESULTS
The
values
of peak overprornure
meartured
by the vrarJ.ouzc
counLriui told
presented.
in the referenced
sources were till
cnled to
a one
pounc ;.qutvil,,'t1
at standard Bca-level
conditions.
A
total,
or 2'(3 (1iau.
poirntt wtw Utwetd
,t
etabl.iohing
th. curve ao
presented in
Figuro
i.
The .ie
point:
W(X1, pUm;,nclw
on
TBM
cardo
"o
ocaled
c1iotance (%)
vdrruo
cc'e,-d
ovorpre:,turc
(P,.
(x)
in a nel.ed
dirtancu and
equaloR/W where
R
-
actual
d
Lotatnc I(
r,..
and W
u yield in pounda.
Therefore,
% IL equai,
to H 'or a
one
poinnd 'ulia,.,
The
logarithmn correopinding
to thence
data point'
wort,
eomputed,
and by i
method
of
least
aquareo the coefficients
for
a
po]ynormia,
equttrion wer,.
derived.
The
recu.tt
io:
In 7.0452041
-
1.62T77561
X - .2'(5990I.1,11
X'
-
.O659731y6
X3 + .00651il2561
6 X
256A
X"
(I)
- .020072553
X6
+
.O030.904h9
X7 - .0001598),()i
X"
where
X m log. X
with
X
values
from 0.5 to
440.
This equation, while
fitting the
pointu
well over the
rtuit
of'
vilu,-.:
given.
would
be misleading if
u3ed in
the very low
prc.ture
ruglon (belo'w
0.2
psi).
Therefore,
all
values beyond
a
%
of
io
were
procu:;:
d
throuj;i
1.h,
computer, atuming
an exponential
decay and
the
Following ,q!ulttti
wa:
derived for the low pressnure
range.
P
226.61762
%"I>
06.591
where
14 C
-c---
l
ft m
C6
-
c%_
PERCENT+
PERCENT-
PERCENT PERCENT
1 23
1
20
1
43
15.7
2
18 2 18 2
79
29.O
3
16 3
17 -j3
112 41.0
1 0 4
15 4
137
50.0
5 11 5 10 5
158
57.8
6
7
6
6 6 171 62.5
7
4
7 3
7 178
65.0
8 5 8
9 8 192
70.2
9
6 9
2 9
200
73. 1
10 9 10 5
1o 214
78.2
11 5 11
5
11 224
82.0
S.. 12
4
12 4 12 232
85.0
"13 6 13
4 13
242 C8.5
14 0 L4
4 14 246
90.0
15
5
15
0 i5
251 92.0
16
L 16 1 16
253
92.5
17
1
17
L
L7 255
93.5
18 1 18
0 18
256
93.6
19
3 19
1 19
260
195.0
20
1
20
3
20 264 96.6
21
0 21 2
2L 266
97.4
22 0
22
1 22 267
97.6
23 0 23 2 23
269 98.4
24
0 24
1
24 270
98.9
25 0 25
1
25 271
99.
26
0
26
L
26 272 9.95
27 C 27 1
27 273
100.0
. TOTAL NUMBER OF
POINTS WAS 273
e ,
-
8/9/2019 PEAK OVERPRESSURE VS SCALED DISTANCE FOR TNT SURFACE BURSTS (HEMISPHERICAL CHARGES)
16/23
JIMI
ri
f
I
i
1
IL
f
~
~
1
;1
01
J.
0
t
I
0
~
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DwuQ~nwitii ci T h
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S. Armny
Chomic,1.
Corpo
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Tll'ortiuali oil
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