peak overpressure vs scaled distance for tnt surface bursts (hemispherical charges)

8/9/2019 PEAK OVERPRESSURE VS SCALED DISTANCE FOR TNT SURFACE BURSTS (HEMISPHERICAL CHARGES)

1/23

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Distribution: Further dissemination only

as

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allistic

Research

Lab.,

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Proving

Ground,

MD.,

Apr

1964

or

higher DoD

authority.

AUTHORITY

USAARDC

ltr, 7

Sep

1977

THIS

PAGE IS UNCLASSIFIED


2/23

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


3/23

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edo"00


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


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


7/23

TABLE

OF CONTENTS

ABSTRACT .................... ......... ................... .

OBJECTIVES

.

.

BACKGROUND .

.

. .

RESULTS.

....... . . . . . . . . . . .

SCALING. ....... . . . .

. . . . .

COMPARISONS

.....

. ..........

I.0

1WREKE S

...

-- 0

0


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


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 ,


16/23

JIMI

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f

I

i

1

IL

f

~

~

1

;1

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J.

0

t

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Orgaaiization

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San

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Eglin AFB, Florida

325h2

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U.

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Of

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California

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president

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21/23

DISTRIBUTION LIST

No.

of

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Madquartero.,

USAF

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Wachington,

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tW~ahing~on,

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20330

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Virginia 233635

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22/23

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Carloon

C/o MIAJ~it'y

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Sherwood B.*

Smj~thDoIenr iu 'l AIII

849

South

Broadway

Drl.Li.h

Eainbumiy

LjAngelco 14j. Oa'I 1:f'rnlIa

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Labora.tory

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P.ln'ietton

Univeraity

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Carl Kisolinger

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