# Mathematical proof for oil drilling

1. Nov 5, 2016

### ahmed11

• Homework posted in wrong forum, so no template
hi guys, i'm supposed to write a paper and do some research on all aspects of drilling regarding torque and force need to drill an oil well and everything from start to finish and to provide mathematical proof and calculations. I don't know where to start and what are the equations used to determine the torque and force and weight needed to drill oil wells in general and with this info; choose the best tools for it.
any suggestions on how to start? or where could i find these equations.
Most importantly, an equation to prove force needed to crush formation with all it's aspects(friction, etc..)
for example, how to know if an electric drill with penetrate the wall or not (mathematical proof).
i would appreciate any help. thanks...

2. Nov 5, 2016

### Nidum

You are asking us for a complete MSc course in a specialist area of technology .

What is the purpose of writing this paper ?

Do you have any technical education ?

What attempts have you made to find the necessary information for yourself ?

3. Nov 5, 2016

### CWatters

Last edited by a moderator: May 8, 2017
4. Nov 5, 2016

### JBA

Actually you are asking for information that is generally provided by highly trained and/or experienced individuals in their specialized area required. There is no oil production company that would expect one individual to be fully versed in all the technologies required in the drilling, and completion of an oil well. It would take an extreme effort to write a worthwhile paper on even one of the elements of this process, much less all of them.

5. Nov 6, 2016

### ahmed11

it's like to try to approach the beginning of the drilling process.
i'm a petroleum engineer undergraduate student.

i tried to search many times for the what equations should i use to demonstrate that for example: the drill string and bit with force 1000 N will rotate and crush the formation because formation pressure and rock strength and friction between bit and formation is less than 1000 N so bit will rotate and not bulge in.
I know i'm asking a very wide question here but i i just need to know the equation of as i stated in my example that how much torque and force needed to crush rocks?

6. Nov 6, 2016

### JBA

1. What you loosely refer to as "rock" is actually a geologic formation whose actual composition and fracture mechanics can widely vary and are often not even homogeneous from one region to another. In other words, for a simple example, sandstone, is never just sandstone, it is a quartz bearing material with varying percentages of quartz content that affect and vary its fracture mechanics.
2. There is no such thing as a common "drill bit" because of the variations of sophisticated rotating bit designs that have evolved over the years.
3. The source of drilling friction is more related to drill string friction with hole wall than the drill bit friction while cutting. (the majority of deep well drill bit consist of rotating cones with various "teeth" profiles for formation crushing.

From what I have seen, it appears you should spend a bit of your time researching the general subject of oil well drilling procedures and equipment (specifically drill bit manufacturer sites) before trying to focus on your selected project; or, possibly revise the project focus to the elements of the drilling process as a whole.

7. Nov 6, 2016

### Nidum

Here is a a good site to learn about oil well technology .

There are thousands of pages and external links which cover the subject very well . Put 'drill' into the search box to get started .

Sample page

8. Nov 6, 2016