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Gate 2017 pressure difference

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SYED NAWAZ

This Question appears in GATE 2017 in which they ask us to find the Pressure difference at different depths of a reservoir

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GATE 2017 Question no.33 Syed Nawaz
Question? • The figure below shows the pressure measured in a well different depths, AB is gas cap, B is gas-oil contact and C is water-oil contact. Density of gas in gas cap is 2kg/m3, oil density is 800 kg/m3 and water density is 1000kg/m3. The difference between pressure at point D and point B (Pd-Pb) is ________X(10^5) N/m2. (Use g=9.81 m/s2, write answer with one decimal place)
Understand the question… They are asking us to find the difference between pressure at point B and point D. So, first we can approach this problem in 2 ways 1- we can calculate first the pressure at D and then substracting it with pressure at B point. 2- we can calculate by dividing the section into 2 region i.e., BC and CD, and then we can add the 2 pressures
Given data • Acceleration due to gravity = 9.81 m/s2 • Density • Water =1000 kg/m3 • Oil = 800 kg/m3 • Gas = 2 kg/m3 • Depth BC = 50 m • Depth CD = 40 m
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Gate 2017 pressure difference

  • 2. Question? • The figure below shows the pressure measured in a well different depths, AB is gas cap, B is gas-oil contact and C is water-oil contact. Density of gas in gas cap is 2kg/m3, oil density is 800 kg/m3 and water density is 1000kg/m3. The difference between pressure at point D and point B (Pd-Pb) is ________X(10^5) N/m2. (Use g=9.81 m/s2, write answer with one decimal place)
  • 3. Understand the question… They are asking us to find the difference between pressure at point B and point D. So, first we can approach this problem in 2 ways 1- we can calculate first the pressure at D and then substracting it with pressure at B point. 2- we can calculate by dividing the section into 2 region i.e., BC and CD, and then we can add the 2 pressures
  • 4. Given data • Acceleration due to gravity = 9.81 m/s2 • Density • Water =1000 kg/m3 • Oil = 800 kg/m3 • Gas = 2 kg/m3 • Depth BC = 50 m • Depth CD = 40 m