Detection of Potential Blockage Points in Drains Using Divergence Analysis of Water Flow Vector Fields

Authors

  • Mey Gracia Sitanggang Universitas Negeri Medan
  • Gisa Sahwani Universitas Negeri Medan
  • Hery Judika L.Tobing Universitas Negeri Medan
  • Cantika Purba Universitas Negeri Medan
  • Novita Atika Sitorus Universitas Negeri Medan
  • Alvi Sahrin Nasution Universitas Negeri Medan
  • Hamidah Nasution Universitas Negeri Medan

DOI:

https://doi.org/10.32493/sm.v8i2.59367

Keywords:

Drainage, Divergence, Vector field, Flow Velocity, Blockage

Abstract

This study aims to detect potential blockage points in drainage channels using divergence analysis of water flow vector fields. The research applies a quantitative approach through a simple field experiment using the float method to measure flow velocity at several observation points. Data were collected by measuring the travel time of a floating object at distances of 3 meters, 5 meters, and 7 meters along a drainage channel. The velocity was calculated using the basic kinematics equation, and the data were analyzed using mathematical modeling and numerical derivative approaches to determine the divergence of the flow.

The results show that water flow velocity is not constant, with values of 0.214 m/s at 3 meters, 0.135 m/s at 5 meters, and 0.146 m/s at 7 meters. The analysis of velocity change indicates a negative divergence value (-0.0395) in the interval between 3 meters and 5 meters, which reflects flow deceleration and convergence. This condition suggests the potential accumulation of materials that may lead to blockage.

Therefore, the point around 5 meters from the initial position is identified as a potential blockage area. This study demonstrates that divergence analysis of vector fields can serve as an alternative mathematical method for early detection of blockage in drainage systems, contributing to more effective environmental management and maintenance strategies.

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Published

2026-08-31

How to Cite

Sitanggang, M. G., Sahwani , G., L.Tobing, H. J., Purba, C., Sitorus, N. A., Nasution , A. S., & Nasution , H. (2026). Detection of Potential Blockage Points in Drains Using Divergence Analysis of Water Flow Vector Fields. STATMAT: Jurnal Statistika Dan Matematika, 8(2), 277–284. https://doi.org/10.32493/sm.v8i2.59367

Issue

Vol. 8 No. 2 (2026)

Section

Articles

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Copyright (c) 2026 MEY GRACIA SITANGGANG, Gisa Sahwani , Hery Judika L.Tobing, Cantika Purba, Novita Atika Sitorus, Alvi Sahrin Nasution , Hamidah Nasution

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