Drill Collar Weight Calculation is not difficult to run. Basically there are two methods for such calculations. In this article we will discuss both methods and the difference between them. This article is a series of articles that provide a full guide for Drill String Design Calculations | Complete Guide

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## Buoyancy Factor Method

### Number & Lengths Of Drill Collar Calculations Target & Assumptions

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Before going deep in that drill collar weight calculation methods, please consider the following notes:

- Ensures that buckling is restricted to the
**Drill Collars**and no buckling occurs in the**Heavy Weight Drill Pipe****(HWDP)**or**Drill Pipes**above the Drill Collars. - The required Collar length to provide a desired weight on the
**Drilling Bit**can be calculated as follows,

**Where,**

WOB = desired weight on bit, lb

SF= safety factor (1.1-1.15),

BF= buoyancy factor,

Wc= drill collar weight in air, lb/ft

I = maximum hole angle at BHA, degrees

- This method does not take into account the hydraulic forces acting on the bottom end of the Drill Collars and on the shoulder areas between Drill Collars and the Heavy Weight Drill Pipe (HWDP) or Drill Pipes.
- You must understand that the Drill Collars length calculated by previous equation is not enough to provide all the desired weight on the Drilling Bit, and, therefore, the remainder of the weight will be provided by the Heavy Weight Drill Pipe (HWDP) or Drill Pipes. above the Drill Collars.

**Drill Pipe Buckling **

Drill Pipe Buckling is a problem that must be avoided at all times. Heavy Weight Drill Pipe (HWDP) or Drill Pipe Buckling induces stresses in the pipe which will cause premature pipe fatigue and pipe failure.

**The Drill String Buckling Neutral Point**

Lubinski defined The Buckling Neutral Point as the point in the Drill Collar string below which the pipe is buckled (under compression) or will have a tendency to buckle, and above (Also under compression) which no buckling will occur. The buckling neutral point is calculated by the following equation,

Above Equation states that no buckling occurs above the drill collars as long as the weight on the Drilling Bit does not exceed the buoyed weight of the Drill Collar.

### The Drill String Axial Stress Neutral Point

In some cases it may be necessary to calculate the axial stress in the **Drill String** or locate the axial stress neutral point. When axial stress must be determined, all forces acting on the **Drilling Bottom Hole Assembly BHA** must be considered including the **hydrostatic forces**.

**The hydraulic forces** are a result of the hydrostatic pressure of the mud and are computed by multiplying the hydrostatic pressure times the respective section area.

### Axial Stresses On Heavy Weight Drill Pipe HWDP Calculations

To determine the axial stresses in the HWDP above the drill collars, consider the free body diagram

**Drilling Bottom Hole Assembly BHA here consists **

- Drill Collars of length
**L**_{C}_{ } - Heavy Weight Drill Pipe (HWDP) of length
**L**._{H} - The hydraulic force acting on the cross sectional area between the Drill Collar and Heavy Weight Drill Pipe (HWDP) is denoted by
**F**._{1} - The hydraulic force acting on the bottom of the Drill Collars is denoted by
**F**_{2}.

The Weight On Drilling Bit WOB acts on the formation, but since *for every action there is a reaction equal in magnitude*, there will be a reaction force equal to **WOB** acting upward on the bottom end of the Drill Collars.

- The total weights of the Heavy Weight Drill Pipe (HWDP) and Drill Collars are denoted by
**W**and_{1}**W**respectively._{2} - The tensile force acting at the cut off point in the Heavy Weight Drill Pipe (HWDP) is denoted by
**F**._{T} - Now for the system to be in static equilibrium,
*the forces acting upward must be equal to the forces acting downward*, or

**Ft + WOB + F2 = W1 + W2 + F1**

**Where**

W_{1} = L_{H}W_{H}

W_{2 }= L_{C}W_{C}

F_{1} = P_{1}(A_{2}-A_{1})

F_{2} = P_{2}A_{2}

**F _{T} = L_{H}W_{H} + L_{C}W_{C} + P_{1}(A_{2}-A_{1}) – P_{2}A_{2} – WOB**

**Where**

W_{H} = weight in air of HWDP, lb/ft

W_{C} = weight in air of drill collars, lb/ft

L_{H} = length of HWDP, ft

L_{C} = length of drill collars, ft

P_{1} = hydrostatic pressure at top of drill collars, psi

P_{2} = hydrostatic pressure at bottom of drill collars, psi

A_{1} = steel cross sectional area for HWDP, in2

A_{2} = steel cross section area for drill collars, in2

F_{T } = tensile force, lb

It should be noted that F_{T} is assumed to be a tensile force. If the magnitude of F_{T} is negative then it is a compressive force.

To determine the axial stresses in the drill collars consider the free body diagram. Note that in this case there is no hydrostatic force acting on the top of the drill collars because there is no change in diameter (no shoulder area). Adding the forces gives,

F_{T} + WOB + F_{2} = W_{2}

FT + WOB + A_{2}P_{2} = L_{C}W_{C}

F_{T}= L_{C}W_{C} -WOB – A_{2}P_{2}

### Drill Collar Calculation Pressure Area Method Conclusion

- The number of Drill Collars calculated by the Buoyancy Factor method is not enough to provide all the weight on the Drilling Bit WOB. Some of the WOB will be provided by the Heavy Weight Drill Pipe (HWDP) or Drill Pipe directly above the Drill Collars. For this reason the Heavy Weight Drill Pipe (HWDP) or Drill Pipe above the Drill Collars will be in compression but not buckled. It is an acceptable practice to use Heavy Weight Drill Pipe (HWDP) or Drill Pipe in compression as long as it is not buckled.
- The buckling neutral point is always near the top of the Drill Collars. The Drill Collars below the neutral point will have a tendency to buckle. The Drill Collars and Heavy Weight Drill Pipe (HWDP) above the neutral point will not buckle as long as the actual weight applied on the Drilling Bit while drilling does not exceed the WOB used in the calculations. If the actual WOB exceeds the WOB used in the calculations then the number of Drill Collars must be increased, otherwise, the Heavy Weight Drill Pipe (HWDP) or Drill Pipe above the drill collars will buckle. Heavy Weight Drill Pipe (HWDP) or Drill Pipe should never be used in a buckled condition.

## Pressure Area Method For Drill Collar Calculation

**The drill collar weight calculation | The Pressure-Area Method** takes into account all the forces acting on the ** Drilling Bottom Hole Assembly BHA** including the hydraulic forces. Consider the free body diagram in above Figure. A force balance yields,

The length of **Drill Collar** required to provide Weight On **Drilling Bit** WOB is,

**( A _{2} P_{2} + WOB – P_{1}( A_{2} – A_{1}) )**

**L**

W

_{C}= ____________________________________W

_{C}## Drill Collars Weight Calculations | Buoyancy Factor Method Vs Pressure Area Method

### Comparison between the **Buoyancy Factor Method** and the **Pressure Area Method** for the **Drill Collar** weight calculations.

- It can be seen that the Drill Collar length calculated by the Pressure Area Method is almost twice that calculated by the Buoyancy Factor Method and, therefore, is enough to provide all the Weight On Drilling Bit WOB.
- For this reason, In Pressure Area Method only the Drill Collar
- are in compression while the Heavy Weight Drill Pipe HWDP is in tension.
- The buckling neutral point is the same in both cases.
- Either of the two methods can be used to calculate the length of the Drill Collar

**However, the ****Pressure Area Method**** has the following disadvantages:**

- Requires more Drill Collar to keep the Heavy Weight Drill Pipe HWDP or Drill Pipes in tension. This serves no useful purpose because whether the pipe above the buckling neutral point is in tension or compression is irrelevant to fatigue damage, if the pipe is not buckled.
- The need to procure, transport, maintain, inspect and handle the extra Drill Collar increase the cost of the drilling operation
- Adding more Drill Collars reduce the available overpull.
- Adding more Drill Collars increases the weight of the Drill String and the tensile stress in the Drill Pipes at all depths. The increase in stress will increase the rate of fatigue attack and reduce the life of the Drill Pipes.