My son and I have a real problem and we need some help. My son is a licensed blaster. He has been asked to stimulate oil wells with dynamite. I am trying to help him. In short, we will fabricate a "torpedo." Currently, we are thinking of using a 5' length of 1.5" PVC with the down end made into a point. The torpedo will be filled with 2 sticks of dynamite and filled with as dense a sand/gravel as we can find. It will be dropped down a 5" pipe filled with water. It is estimated that it is 640' to the bottom. Can you help me calculate how long it will take the torpedo to reach the bottom? (We need to make sure it gets to the bottom before the fuse ignites the dynamite!!) I am sure the efficiency through the water, drag, is an important and not known for sure variable, but perhaps there is a range that would get us close enough.
Any guidance or leads would be most appreciated.
I believe you should find all of the necessary documentation in the following link:
http://looney.goldenagecartoons.com/tv/rrshow/
Eric Read
"If you don't ask, how are you ever going to learn?"
Ooooh fluid dynamics. Going to be very tough to estimate given the fact that you're delivering the dynamite in a homemade vehicle with unknown properties. I might think about triggering it via remote control after allowing "more than enough" time for it to reach the bottom. Radio Shack is your friend!
My son is a sophisticated blaster, having done many projects: quarries, bridges, sewers, etc., and he knows all about setting off blasting caps electrically or with det chord. Caps have depth limitations, apparently, so we've been looking into the old fashioned torpedo method that uses a fuse. Old timers say there is enough time, but I'd like to rough it out mathematically if I can. I found a kid's science fair project on line where he dropped different shapes down a water-filled pipe. A sphere had a falling rate of 1.6 ft/sec, which seems slow to me.
Check out this web site: http://www.newton.dep.anl.gov/askasci/phy99/phy99x88.htm
Discussion on objects falling through water.
Bottom line is there are too many variables to calculate a definite answer (from the info provided).
But assuming the medium is water, the torpedo is streamlined and very dense you can guesstimate a ball park answer.
I'm assuming that you don't need to know exactly when the torpedo reaches the bottom (as long as it does).
The fastest (best case scenario) would be dropping through air (32ft/sec2).
It would take 20 sec to fall 640ft (ignoring terminal velocity etc..)
Assuming the water provides a 50% resistance, you should be ok at 40 sec.
Good question.....hope this helped
Use a 640' fuse and don't worry about it. They have fuses that burn under water.
If you don't like that solution which is sure fire and guarantees you've reached the right depth, buy some wider PVC pipe and fill with water and do test runs to see how fast it traverses a fixed distance - then use that figure to calculate how long it will take to go 640'.
Some things to be careful of: If the actual 640' hole filled with water isn't exactly straight, even if it's off at an angle of .001 degrees it will kind of slide down the inside of the tube instead of flow through water and the sliding friction will slow down it's descent. Also if the water gets "murkier" as you go deeper. The increased density of the water will slow down the descent.
I would totally use a long string, maybe some fishing line to verify how deep you are. You could also tug the torpedo back and fourth to get it to go over a rough spot.
I would be thinking a dry run or three to determine the unknown variables. Fishing line to retrieve and verify time to bottom. I don't think you can calculate as the variables are too many.
Thanks Todd, you're correct...I used the wrong formula.
t=(2d/g)^1/2
t=(2*640/32)^1/2 = 6.323 sec.
The 50% was a swag (i.e. wild ass guess)!!
That's why I've been moved up to engineering management....too many dead brain cells !!!
Isn't the PVC going to have some bouyancy?
this is what i've come up with thus far, though my units seem to be 1 cm short:
terminal velocity is proportional to the ratio of the density
of the object to the density of the medium, the square of the size of
the object, and inversely to the viscosity of the object:
v_terminal ~ (p_object/p_fluid) R^2
----------------------
n_fluid
density of broken granite is 1.65 g/cm3
density of water is roughly 1 g/cm3
1.5” PVC
cross area = πr squared
= 3.1416 x 1.905 cm2
=3.14 x 3.629025 cm2
= 11.40094 cm2
water has a nominal viscosity of 1.0 x 10-3 Pa s
the pascal-second (Pa·s), which is identical to kg·m-1·s-1
therefore, terminal velocity =
1.65 g/cm3 x 11.4 cm2 over
1 kg/m s (or 1000 g/100 cm s) (or 10 g/cm s)
= 18.81 g/cm times 10 cm s/g
= 188.1 cm/s
=6.17 feet/sec
for 640 feet = 103 seconds
right. PVC will have some bouyancy, but i discounted it. we'll pack the PVC with gravel (I used the density for crushed granite). i wish one of you young students would check my math and units. a decimal point could have big consequences if i am off. but not bad for an old attorney, i think
No offense, but there are way too many unknowns here to even bother trying to calculate it to the second. Like...
i forgot to square the PVC cross section area: so, is this correct? i am losing it:
thus terminal velocity is proportional to the ratio of the density
of the object to the density of the medium, the square of the size of
the object, and inversely to the viscosity of the object:
v_terminal ~ (p_object/p_fluid) R^2
----------------------
n_fluid
density of broken granite is 1.65 g/cm3
density of water is roughly 1 g/cm3
1.5” PVC
cross area = πr squared
= 3.1416 x 1.905 cm2
=3.14 x 3.629025 cm2
= 11.40094 cm2
squared = 129 cm2 cm2
water has a nominal viscosity of 1.0 x 10-3 Pa_s
the pascal-second (Pa·s), which is identical to kg·m_1·s_1
therefore, terminal velocity =
1.65 g/cm3 x 129 cm2 cm2 over
1 kg/m s (or 1000 g/100 cm s) (or 10 g/cm s)
= 214.4 g cm over 10 g/cm s
= 214.4 g cm times 0.1 cm s/g
= 21.44 cm/s
=0.7 feet/sec
for 640 feet = 914 seconds or 15.2 minutes
Have you considered using a large caliber gun instead?
If he is licensed and this is all on the up and up, you can get access to the correct caliber gun (would probably come with operator) and fire an exploding projectile into the hole....
It may be worth investigating this option because the service would work for lots of depths and differing variables....might be a good side business for your son.
We had a fairly large gun to shoot the headwall of a ski area every morning to start the avalances...so I know its possible to acquire these types of machines provided you are licensed.
Rich
Why use free fall numbers?
Well maintenance companies use pumps to force chlorine into the well. Why don’t you make the PVC close to the size of the torpedo and pump water into the well forcing the torpedo down to the bottom?
You could moniter the flow rate of the water to get your depth.
Just a thought!
You could also use a depth guage to set your trigger too explode.
Depths (Atmospheres) are fairly consistant and accurate!
OK, after all this mental masterbation, it seems unanimous that it is impossible to determine the time to the bottom. I especially like the reference to the water flow past the torpedo as it goes down creating a drag effect.
TEST
TEST
TEST AGAIN
Place dynamite, RUN LIKE HELL!
this looks like a job for mythbusters
I believe that terminal velocity will be reached quickly enough that once that is calculated it should be used for the entire fall. The pipe diameter is sufficiently large that the "torpedo" should not experience undue drag (some yes). I'd add vanes to try and give the "torpedo" some spin.
650 feet of magnesium wire might make a good fuse.
You could do a test prior to the actual blast. Attach 100 feet of wire, and let it drop (with a dummy warhead of the same mass/density). Time the 100 foot fall for each ten feet. If the rate of decent becomes constant, then use that rate. Retrieve the dummy.
My thought was that spin would help it get past some obstacles.
The vanes should not be designed to extend out past the body. I would have a bulbous nose for low drag, and a sharpened tail with a couple of tiny vanes to add clockwise spin (counter-clockwise below the equator).
Why not use commercially available shock tube as your line? The shock tube has a pretty high tensile strength. If you are nervous about that you could dual prime and just zip tie or tape the two strands shock tube together.(I recommend this for the redundancy) With a little bit of testing you can determine if the shock tube will support the weight or if you need a separate line to reinforce the setup. The reels of shock tube can be bought already setup with a cap.
There is no depth limitation on the cap it if is sealed in the torpedo device you are making. Just make sure that the the torpedo is sealed properly.
I am glad you decided to avoid the det cord as it can act funny if to much tensile stress is placed on it over a long distance possibly causing misfires.
I would actually recommend against using the time fuse as it has a tendency to burn differently in a confined space. The pressures that it will be exposed to at 640' can also have an effect on burn time.
This just seems like a crazy question... I think the only thing that you'll KNOW to be true is going to be pressure. it doesn't matter how large the diameter of the tube is, just the depth. I would find the pressure for -640 of water, and then get a detonator based on that. Then you wouldn't have to worry about how long it took, or whatnot, it would just blow when it got to that pressure.
I think I'd put a camera and light source in the nose. CCD cameras are cheap and short-haul modem technology can handle a 1000' run. (I don't think I'd trust 232. 485 maybe...
That way you can *see* if it's safe to detonate.
(FWIW - i did some oilfield support engineering once upon a time in my storied career - drillrig simulation control systems and cementing (plug flow, laminar flow, density issues...) studies.)
If you don't want the 'unmanned vehicle' approach, i think I'd go with 650' of pipe and (effectively) positively drive it into place. Once it's bottomed, pull up the pipe, and hit it.
I'm only an engineering student, and an Arch. E. major at that rate, but the pressure at depth would be dependent on material you're in which won't be pure water and likely won't be consistent over that range, so I would not trust any form of pressure trigger...
However time delay and fuses are a bad idea as well since you have no guarantee that the device will not get jammed upon the way down, or that it will travel in any predictable way (try dropping a nail onto a quarter at the bottom of a bucket of water... You'll find it's very difficult, likewise you're likely going to hit the walls of the well in no predictable manor...)
So based on those two assumptions/observations...
Manual detonation...physical depth meter....
On a side note... Don't they usually pump steam in several parallel side wells drilled in the vicinity nowadays, or is that only in certain situations(I could have sworn I had heard something about that)?
In my previous life (job) I worked for a company that manufactured engineering borehole geophycical equipment and engineering seismic equipment. Most of the applications we worked with were 500' or less but we used standard blasting caps and HPD primers in water filled holes.
Getting a tool stuck in a hole always seemed to happen so I would not use a timed fuse. You could test very easily by making a dummy torpedo with only a cap in it and lower that to the depth needed and see if it detonates.
Good luck
(I miss blowing things up)
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