**Mass flow rate**is the mass of substance which passes through a given surface per unit time. Its unit is mass divided by time, so kilogram per second in SI units, and slug per second or pound per second in US customary units. It is usually represented by the symbol .

Mass flow rate can be calculated from the density of the substance, the cross sectional area through which the substance is flowing, and its velocity relative to the area of interest.

- is the mass flow rate
*ρ*is the density*v*is the velocity*A*is the flow area

*ρ*is the density*Q*is the volumetric flow rate

....ok, ...so , consider the size of the intersecting bores

The continuity equation is a statement of the conservation of mass in a system. Consider a pipe that is uniform in diameter at both ends but has a constriction between the ends, called a Venturi tube. Furthermore, assume that fluid is flowing through the pipe from one end through the narrow throat of the tube with cross-sectional areas A

_{1}and A

_{2}, respectively. Let V

_{1}and V

_{2 }be the average flow speeds at these cross sections. Assume also that there are no leaks in the pipe nor is fluid being pumped in through the sides. The continuity equation states that the fluid “mass flow rate”—the amount of fluid per unit time—must be the same at any cross section of the pipe or else there is an accumulation of mass—"mass creation"—and the steady flow assumption is violated. Simply stated,

(Mass rate)_{1} = (Mass rate)_{2} | (1) |

Mass rate = Density x Area x Velocity | (2) |

p_{1}A_{1}V_{1} = p_{2}A_{2}V_{2} | (3) |

*p*is a constant and equation (3) reduces to

A _{1}V_{1} = A_{2}V_{2} | (4) |

_{1}and V

_{2}across the cross section were used.

By rearranging equation (4), one obtains

V _{2} = (A_{1}/A_{2})V_{1} | (5) |

_{1}is greater than cross-section A

_{2}, it can be concluded that V

_{2}is greater than V

_{1}. This is a most important result. It states that the flow speed increases where the area decreases and the flow speed decreases where the area increases. In fact, by the continuity equation, the highest speed is reached where the area is the smallest. This is at the narrowest part of the constriction, commonly called the throat of the Venturi tube.

I'm going to have to substitute the letters

M ....for the symbol of mass flow rate, (instead of trying to copy and paste the symbol)

p......for the density

v......velocity

A.....for flow area.

....ok so ultimately....

Below is a link to the graphic of a Venturi tube , so you understand what I mean by the mention of the diameters of the intersecting bores, ie: the shape of the intersection. Although the gradient of the angle of the inner diameter of the intersecting bore is not sharply observable in something like a 10' section , but rather expressed very gradually by the concentrically larger pipes leading away from the intersect, and away to the surface, just like the shape of the first bore, ....small to large casing from bottom to top, respectively....but also, since a oil trap is a larger space than the well casing, the casing diameter gets bigger bottom to top,.... Venturi

http://www.centennialofflight.gov/essay/Theories_of_Flight/Conservation/TH8G1.htm

the density of the crude is obtained with the knowledge of the specific API gravity.

Here is the site I used, it's a free converter....an. API to density converter.....how cool is that..?

http://www.ior.com.au/ecfdensity.html

........so the API gravity is 23.5 = 0.9129 grams per ml. ....that's the density...

v...or velocity , The on-site team continued to refine its estimate and has concluded that the best estimate for the average flow rate was in the range of 12,600 to 21,500 barrels of oil per day.That's a link in the text below. I am looking forward to the new analysis.

............The area of a circle is obtained in the following

**Figure out the length of the radius**. This may be as simple as dividing the diameter by 2.

**Note the formula**. The formula for finding the area of a circle is:

....that's ...area equals pi times the radius squared....in literary format.

......so the radius is half the diameter, ..or....8.5"

......times itself.....8.5" x 8.5" equals 283.385"

......so that is.... A

.....A = 283.385"

.......so far, ..that's

M =

p ( density ) = 0.9129 grams per ml.

v ( volume ) = 17,050 bpd

a (area) = 283.385"

.....again for the sake of reiteration..

- is the mass flow rate
*ρ*is the density*v*is the velocity*A*is the flow area

The

**volumetric flow rate**in fluid dynamics and hydrometry, (also known as

**volume flow rate**or

**rate of fluid flow**) is the volume of fluid which passes through a given surface per unit time (for example cubic meters per second [m

^{3}s

^{-1}] in SI units, or cubic feet per second [cu ft/s]). It is usually represented by the symbol

*Q*.

Given an area

*A*, and a fluid flowing through it with uniform velocity

*C*with an angle θ away from the perpendicular direction to

*A*, the flow rate is:

....so ultimately, ...lol.....17,050bpd...or Q x the density of the fluid...0.9129 grams per ml gives the volumetric flow rate .

.......ok......

........17 050 barrel [US, petroleum] = 2 710 733 378.6 milliliters

........1 barrel [US, petroleum] = 158 987.294 93 milliliters

........Q times v = 15, 564.945 Bpd.

(edit)...ahaha..sorry...Q x p.....>facepalm<

So that's my opinion, like I have said, I'm not too terribly good with math, and I'm always open to discussing things, if I am wrong, ..then perhaps

**can learn from**

*you***my**mistakes too. Personally I like making mistakes. It's a plan B to learn. Between A-priori observational thought, and perspective...which in this case I will use another literary reference ............Charles Bukowski -- " We are all in the

**gutter**, but some of us are

**looking**at the stars. " One of the important things I have realized in my life has been that at first, when I was younger, my stubbornness applied to my actions of learning , were like trying to put my hand through a wall. I always had to learn the hard way. The harder I tried to analyze or scrutinize something by direct observation of my own experiences to learn it, the more I was preventing myself from learning. The more you think you know, the less you are willing to learn more. If we think we know it all, we stop learning completely. I like to think about it like this....complete entropy can exist ...if thought about in reference to a closed mind refusing to accept new information and " thought " itself considered to be a waveform ....the path of least resistance...yada yada..... A mental equilibrium is reached,....self-inflicted too, I might add. Ignorance is from free will..yada, yada....like the analogy I used in my other post, you cannot heat the water that is already hot....

So what I am saying is that I learned to carefully observe just not my own actions, but especially the actions of everything around me. You can learn much more by watching somebody else screw something up. I might fall flat on my face, but we can laugh together.

also, ...lets say 2 people are having a conversation about a topic.

a 3rd person enters....observes the conversation between the first 2 and states.." You guys are idiots "

at the same time, ....a 4th person is also observing the conversation and resulting reactions between the 3.

If the 4th person was originally listening to the debate before the 3rd person came along, than the 4th was also rationally,.. with the open mind of someone who wants to learn ,...was considering each side of the debate equally....50/50....but not engaging with the 2 original people directly.

So if the 3rd person says something...it's either fact or opinion. ... in the case of

**guy , he said " You guys are idiots. " So all of a sudden, the 4th person's bias becomes further diluted...no longer 50/50.**

*this*All by the selfish actions of a rude interjection into a mature scientific discussion, 3 possibly prevents 4 from learning, just by being an asshole.

.........That's not cool.

If classically , the truth is reached by the quantification of facts under peer review, than the more that join the conversation, the more facts can be reviewed by the collective minds engaged in the debate, and the faster the bullshit can be disregarded, the faster the solution is reached. The Final solution or " truth " is really just a super-critical thought explosion. Nowhere to go but out into the collective consciousness.where it becomes accepted fact, .....same thing as a nuclear super-critical reaction....it's why I say things like " molecules or mentalities, they follow the same laws."

Goodnight, ....or good-day......good..

tomorrow, I'll do the same maths, but will look at eroded wellbores, stratigraphic pressures, diameters of the intersection point ( Venturi ), flow rates of the two different fluids at the intersection, how 2 liquids of different densities react when they meet, what the densities are, ...tired ...umm......probably I will have some other things to add, on my mind when I wake up.

(edit) "tomorrow"......well, here I am again. .........I'm bored with it, I see that postulating outcomes based on speculative numerical modeling is........pointless ? It was fun teaching myself last night how to do it , and it has definitely opened my eyes once again to something wonderful. Moving on..

http://en.wikipedia.org/wiki/Volumetric_flow_rate

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