# Boyle’s Gas Law and Its Application in Drilling

Understand Boyle’s Gas Law

Boyle’s gas law states that at constant temperature, the absolute pressure and the volume of a gas are inversely proportional in case of constant temperature within a closed system.  Bolye’s law can be illustrate in the graph shown in figure 1.

Figure 1 – Boyle’s Law

Well, we can describe the statement above into simple mathematics as following formula:

Boyle’s Gas Law

P x V = constant

Or express Boyle’s law in another term:

P1 x V1 = P2 x V2

Where;

P1 = Pressure at condition # 1

V1 = Volume at condition # 1

P2 = Pressure at condition # 2

V2 = Volume at condition # 2

Note: You can use any unit for Bolye’s gas law as long as P1 and P2 are the same unit and V1 and V2 are the same unit.

Let’s apply Boyle’s law into our drilling business

Calculate the volume of gas you will have on the surface, 14.7 psi for atmospheric pressure, when 1 bbl of gas kick is circulated out from reservoir where has formation pressure of 3,000 psi. Figure 2 and 3 shows the condition of this well.

Figure 2 – Gas Kick 1st condition at the bottom

Figure 3 – Gas Kick 2nd condition

Apply the Boyle’s Gas Law:

P1 x V1 = P2 x V2

P1= 3000 psi (reservoir pressure)

V1 = 1 bbl (volume at bottom hole)

P2 = 14.7 psi (atmosphere pressure)

V2 = ? (volume at surface)

P1 x V1 = P2 x V2

3000 x 1 = 14.7 x V2

V2 = 204 bbl

Figure 4 – Gas

References

Cormack, D. (2007). An introduction to well control calculations for drilling operations. 1st ed. Texas: Springer.

Crumpton, H. (2010). Well Control for Completions and Interventions. 1st ed. Texas: Gulf Publishing.

Grace, R. (2003). Blowout and well control handbook [recurso electrónico]. 1st ed. Paises Bajos: Gulf Professional Pub.

Grace, R. and Cudd, B. (1994). Advanced blowout & well control. 1st ed. Houston: Gulf Publishing Company.

Watson, D., Brittenham, T. and Moore, P. (2003). Advanced well control. 1st ed. Richardson, Tex.: Society of Petroleum Engineers.

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### 10 Responses to Boyle’s Gas Law and Its Application in Drilling

Thank you for your useful information. Kindly send me some Litrature fo Silicate Mud system and send us the testing procedure of Sodium Silicate in the system.

2. Alibek says:

Isn’t “P*V=const” when “T=const”?
Otherwise, it should be “(P*V)/T=const”. If I remember school programm well.

• Boyle’s Law is based on the Templerature constant therefore P x V = constant like you said.

3. Alibek says:

What I mean is that temperature of resourvoir is higher than temperature on surface.

• You need to apply temperature into the equation so the relationship will be PV/T = znRT.

Thank you for your useful information. Kindly send me some Litrature fo Silicate Mud system and send us the testing procedure of Sodium Silicate in the system.

5. Fortune Ikonwa says:

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• Hi Fortune,

We don’t have the document you request. If we can find it, we will send you.

Regards,
DF team

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