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Vertical tank capacity measurement based on Monte Carlo method.

Guoyu Chen1, Yong Wan1, Huanhuan Lin1

  • 1Research and Development Department, Guangzhou Institute of Energy Testing, Guangzhou, China.

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This study introduces a new method for measuring vertical tank capacity using the Monte Carlo Method. This approach accurately calculates liquid volume by analyzing random sample points within the tank.

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Area of Science:

  • Engineering
  • Applied Mathematics

Background:

  • Vertical tanks are crucial for liquid storage and trade, necessitating accurate capacity measurements.
  • Current methods for capacity determination can be inconvenient or imprecise.

Purpose of the Study:

  • To develop a convenient and accurate method for measuring the capacity of vertical tanks.
  • To utilize the Monte Carlo Method for enhanced precision in volume calculations.

Main Methods:

  • A novel capacity measurement technique based on the Monte Carlo Method.
  • Placement of multiple sensor points on the inner surface of the vertical tank.
  • Generation of numerous random sample points to simulate liquid volume and calculation of capacity based on defined criteria.

Main Results:

  • The proposed method achieves a high degree of accuracy, with absolute errors not exceeding ±0.0003 m³.
  • A linear relationship was observed between the absolute error of capacity per unit volume and the vertical tank's height.
  • The radial size of the vertical tank demonstrated minimal impact on the measurement accuracy.

Conclusions:

  • The Monte Carlo Method offers a reliable and precise approach for vertical tank capacity measurement.
  • The method's accuracy is primarily influenced by tank height, with minimal dependence on radial dimensions.
  • This technique provides a valuable tool for applications requiring precise liquid volume quantification.