Mathematical proof for oil drilling

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Discussion Overview

The discussion revolves around the mathematical and technical aspects of oil drilling, specifically focusing on the torque and force required to drill an oil well. Participants explore equations and methodologies for calculating the necessary forces and selecting appropriate tools for drilling, while also addressing the complexities involved in the drilling process.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant seeks guidance on equations related to torque and force needed for drilling, including how to mathematically prove the force required to penetrate geological formations.
  • Another participant questions the feasibility of the request, suggesting that it resembles a comprehensive course in a specialized field.
  • Several participants emphasize the complexity of drilling technology and the variability of geological formations, noting that drilling equations can differ significantly based on specific conditions.
  • It is mentioned that the source of drilling friction is primarily related to drill string friction with the hole wall rather than the drill bit itself.
  • Participants provide links to external resources that may contain relevant equations and information about drilling technology.
  • There is a suggestion that experimental approaches, such as drill-off tests, may be necessary to determine optimal drilling parameters like weight on bit and rotation speed.

Areas of Agreement / Disagreement

Participants express a lack of consensus on the specifics of the equations and methodologies needed for the drilling process. There are competing views on the complexity of the topic and the adequacy of the original request for information.

Contextual Notes

Participants note that the composition and fracture mechanics of geological formations can vary widely, which complicates the application of general drilling equations. Additionally, the diversity of drill bit designs and the specific conditions of drilling operations are highlighted as factors that influence the calculations.

Who May Find This Useful

This discussion may be useful for students or professionals in petroleum engineering, drilling technology, or related fields who are seeking to understand the mathematical and technical foundations of oil drilling processes.

ahmed11
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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...
 
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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 ?
 
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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.
 
Nidum said:
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 ?

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?
 
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.
 
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
 

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