Adiabatic Bulk Modulus for Hydrocarbons

Introduction

The bulk modulus for a liquid is defined as the ratio of a change in pressure to the relative change in volume. Common uses for the bulk modulus include:

  • Calculation of the speed of sound for liquids, which useful for applications where pressure waves are important like dynamics modelling and surge analysis.
  • Determination of the lag in response time for hydraulic systems.

K_s = A + B(P) – C(\sqrt{T}) – D(AP I) – E(AP I^2) + F(T)(AP I)

K_s = A + B(P) - C(\sqrt{T}) - D(AP I) - E(AP I^2) + F(T)(AP I)

Where:
𝐾𝑠 βˆ’ Adiabatic Bulk Modulus
𝑃 βˆ’ Pressure (psig)
𝑇 βˆ’ Temperature (°𝑅) = (℉+460)
𝐴𝑃𝐼 βˆ’ API gravity of liquid @ 60℉
𝐴 = 1.286×106
𝐡 = 13.55
𝐢 = 4.122×104
𝐷 = 4.53×103
𝐸 = 10.59
𝐹 = 3.228

K_s = (1.286 \times 10^6) + (13.55\times P) – (4.122 \times 10^4 \times\sqrt{T}) – (4.53 \times 10^3\times A) – (10.59\times A^2) + (3.228 \times T \times A)

K_s = (1.286 \times 10^6) + (13.55\times P) - (4.122 \times 10^4 \times\sqrt{T}) - (4.53 \times 10^3\times A) - (10.59\times A^2) + (3.228 \times T \times A)

Case Guide

Part 1: Create Case

  1. Select the Adiabatic Bulk Modulus for Hydrocarbons application from the PLTB Misc. Module
  2. To create a new case, click the β€œAdd Case” button
  3. Enter Case Name, Location, Date and any necessary notes.
  4. Fill out all required Parameters.
  5. Make sure the values you are inputting are in the correct units.
  6. Click the CALCULATE button to overview results.

Input Parameters

  • Product Type
  • Specific Gravity
  • Pressure (psig)

Part 2: Outputs/Reports

  1. If you need to modify an input parameter, click the CALCULATE button after the change.
  2. To SAVE, fill out all required case details then click the SAVE button.
  3. To rename an existing file, click the SAVE As button. Provide all case info then click SAVE.
  4. To generate a REPORT, click the REPORT button.
  5. The user may export the Case/Report by clicking the Export to Excel icon.
  6. To delete a case, click the DELETE icon near the top of the widget.

Results

  • Bulk Modulus (psi)
  • Temperature (Β°F)

References

  • Hydraulics for Pipeliners – C.B. Lester
  • API standard 2540 Manual of Petroleum Measurement Standards, Chapter 11.1-Volume Correction Factors, Volume X – Background, Development, and Program Documentation.
  • API RP 1117 Movement of In-Service Pipeline

Updated on January 5, 2024

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