Vertical tank capacity measurement based on Monte Carlo method

Abstract

Vertical tanks are commonly used appliances for liquids, and its capacity is very important for quantitative liquid ratio and liquid trade. In order to measure the capacity of vertical tanks more conveniently, this paper proposes a vertical tank capacity measurement method based on Monte Carlo Method. The method arranges a plurality of sensor points on the inner surface of the tank, and then performs Monte Carlo tests by generating a large number of random sample points, and finally calculates the capacity by counting the sample points that meet the criterion. The criterion for whether a sample point is located in the tank, which is the core issue, is established with the coordinates of sensor points and the distance between different sensor points along the surface of the tank. The results show that the absolute error of the measurement results of the proposed method does not exceed ±0.0003[m3], and the absolute error of capacity per unit volume has a linear relationship with the height of the vertical tank, and has little effect with the radial size of the vertical tank.

Risk Assessment Models to Improve Environmental Safety in the Field of the Economy and Organization of Construction: A Case Study of Russia

“…The absolute error of measurement results incurred using the proposed method is extremely small. For example, in a study by Chen et al, it does not exceed +/−0.0003 m 3 [24]. Due to its precision, this method is used when calculating infinity.…”

Analysis of Liquid Quantity Measurement in Loading/Unloading Processes in Cylindrical Tanks

“…Any inaccuracy can cause problems in the supply chain. The use of known methods [18,19] and controlled measuring instrument characteristics allows for a valid fuel quantity assessment process [20]. Different parties in the performed commercial transactions agree on the different measuring instruments and methods used in the workflow and the interpretation of possible measurement errors [15].…”

“…Automated tank gauging and inventory control systems are commonly used to manage tank farm operations [15,21,22]. Operationally reliable methods for measuring product quantity have been proposed [16,18,23]. The tools used allowed for the identification of the sources of errors in the measurement processes [24,25].…”