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Deriving the Speed of Sound in a Liquid01:09

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As with waves on a string, the speed of sound or a mechanical wave in a fluid depends on the fluid's elastic modulus and inertia. The two relevant physical quantities are the bulk modulus and the density of the material. Indeed, it turns out that the relationship between speed and the bulk modulus and density in fluids is the same as that between the speed and the Young's modulus and density in solids.
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Evaluating Fluid Distribution by Distributed Acoustic Sensing (DAS) with Perforation Erosion Effect.

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Summary
This summary is machine-generated.

Perforation erosion in hydraulic fracturing significantly impacts Distributed Acoustic Sensing (DAS) signals. Oval perforations, common in the field, lead to different acoustic responses than assumed circular ones, affecting fluid distribution analysis.

Keywords:
CFD simulationdistributed acoustic sensingfiber-optic sensinghydraulic fracturingperforation geometrypetroleum engineering

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Area of Science:

  • Petroleum Engineering
  • Acoustics
  • Computational Fluid Dynamics

Background:

  • Limited entry designs in multi-stage hydraulic fracturing aim for uniform slurry distribution by increasing perforation friction.
  • Perforation erosion is a field reality that alters geometry, potentially affecting downhole measurements.
  • Distributed Acoustic Sensing (DAS) is used to monitor downhole events during hydraulic fracturing.

Purpose of the Study:

  • To investigate the influence of perforation erosion on acoustic signals measured by DAS.
  • To model realistic, oval-shaped perforations instead of idealized circular ones.
  • To understand how perforation geometry affects the interpretation of DAS data for fluid distribution.

Main Methods:

  • Computational Fluid Dynamics (CFD) simulations were employed.
  • Large Eddy Simulation (LES) and the Ffowcs Williams-Hawkings (FW-H) acoustic model were used.
  • Transient turbulent flow through realistic oval perforation geometries was analyzed.

Main Results:

  • Flow rate changes correlate logarithmically with sound pressure level for a given perforation size.
  • Oval perforations, due to erosion, result in reduced sound amplitude compared to circular ones at similar flow rates.
  • Oval perforations produce higher sound amplitudes than circular ones when cross-sectional area and flow rate are equal.

Conclusions:

  • Perforation geometry, specifically ovality due to erosion, measurably influences DAS signals.
  • Assuming circular perforations can lead to overestimating fluid distribution when actual shapes are oval.
  • Accurate modeling of perforation erosion is crucial for reliable DAS interpretation in hydraulic fracturing.