Model Matematika Persebaran Polutan dari Cerobong Kilang Pertamina RU V Balikpapan
Keywords
Gaussian Plume, ; Air Pollution Dispersion, Laplace Transform, Atmospheric Stability, Refinery EmissionsAbstract
Air pollution from industrial stacks is a major environmental concern in Balikpapan, where the Pertamina Refinery Unit V (RU V) is one of the largest refineries outside Java. This study derives the Gaussian plume model from the steady-state advection–diffusion equation using the Laplace transform and applies it to three RU V stacks (CDU IV, HVU II, and HCU) to estimate ground-level concentrations of particulate matter, SO2, and NO2. Stack parameters and measured emission concentrations were obtained from the refinery, and 2021 wind records from the Indonesian Agency for Meteorology, Climatology, and Geophysics (BMKG). A mean daily-maximum wind speed of 3.7 m/s and moderate insolation indicated Pasquill–Gifford stability classes B and C. Concentrations were calculated using Briggs buoyant plume rise and rural dispersion coefficients, and compared with the US EPA SCREEN3-based software ScreenView. Maximum ground-level concentrations occurred 990–1,630 m downwind under class B and 1,670–2,970 m under class C. The highest single-stack values were 0.42 µg/m3 for particulate matter, 16.38 µg/m3 for SO2, and 20.15 µg/m3 for NO2. ScreenView gave maxima 4–11% lower and located 11–20% farther downwind, which is explained by differences in wind speed at stack height, plume rise, and dispersion coefficients. Superposition of the three plumes produced combined maxima of 26.5 µg/m3 for SO2 and 46.2 µg/m3 for NO2, well below the one-hour ambient standards of Government Regulation No. 22 of 2021 (150 and 200 µg/m3). The study offers a transparent analytical framework for screening-level assessment of refinery emissions; field validation remains necessary.
References
Abidin, J., & Purqon, A. (2016). Permodelan polusi udara dengan Gaussian plume. Prosiding SNIPS 2016, 444–452. Institut Teknologi Bandung.
Assegaf, A. H. (2018). Pemodelan dispersi gas dari cerobong PLTU dengan model Pasquill-Gaussian. Jurnal Pengelolaan Sumberdaya Alam dan Lingkungan, 8(3), 414–419.
Beychok, M. R. (2005). Fundamentals of stack gas dispersion (4th ed.). Milton R. Beychok.
Briggs, G. A. (1969). Plume rise (AEC Critical Review Series TID-25075). U.S. Atomic Energy Commission.
Briggs, G. A. (1973). Diffusion estimation for small emissions (ATDL Contribution File No. 79). Air Resources Atmospheric Turbulence and Diffusion Laboratory, NOAA.
Cimorelli, A. J., Perry, S. G., Venkatram, A., Weil, J. C., Paine, R. J., Wilson, R. B., Lee, R. F., Peters, W. D., & Brode, R. W. (2005). AERMOD: A dispersion model for industrial source applications. Part I: General model formulation and boundary layer characterization. Journal of Applied Meteorology, 44(5), 682–693.
Dewi, N. W. S. P., & June, T. (2018). Estimasi pola dispersi debu, SO2 dan NOx dari industri semen menggunakan model Gauss yang diintegrasi dengan SCREEN3. Jurnal Pengelolaan Sumberdaya Alam dan Lingkungan.
Edokpa, D. A., & Nwagbara, M. O. (2017). Atmospheric stability pattern over Port Harcourt, Nigeria. Journal of Atmospheric Pollution, 5(1), 9–17.
Faisal, M., et al. (2021). Balikpapan’s wind analysis to determine air quality monitoring point to support smart environment monitoring system. Journal of Physics: Conference Series, 2106, 012916.
Febriyanti, A. L. (2020). Model matematika penyebaran polusi udara untuk menentukan jarak aman pemukiman dari cerobong asap industri [Skripsi, Institut Teknologi Kalimantan].
Gifford, F. A. (1961). Use of routine meteorological observations for estimating atmospheric dispersion. Nuclear Safety, 2(4), 47–51.
Hanna, S. R., Briggs, G. A., & Hosker, R. P. (1982). Handbook on atmospheric diffusion (DOE/TIC-11223). U.S. Department of Energy, Technical Information Center.
Hasibuan, F., Warsito, & Suciyati, S. W. (2015). Simulasi model dispersi polutan gas dan partikulat molekul pada pabrik semen dengan menggunakan software Matlab 7.12. Jurnal Teori dan Aplikasi Fisika, 3(2).
Holmes, N. S., & Morawska, L. (2006). A review of dispersion modelling and its application to the dispersion of particles: An overview of different dispersion models available. Atmospheric Environment, 40(30), 5902–5928.
Kementerian Negara Lingkungan Hidup. (2009). Peraturan Menteri Negara Lingkungan Hidup Nomor 13 Tahun 2009 tentang Baku Mutu Emisi Sumber Tidak Bergerak bagi Usaha dan/atau Kegiatan Minyak dan Gas Bumi.
Khaniabadi, Y. O., Sicard, P., Taiwo, A. M., De Marco, A., Esmaeili, S., & Rashidi, R. (2018). Modeling of particulate matter dispersion from a cement plant: Upwind–downwind case study. Journal of Environmental Chemical Engineering, 6, 3104–3110.
Leelőssy, Á., Molnár, F., Izsák, F., Havasi, Á., Lagzi, I., & Mészáros, R. (2014). Dispersion modeling of air pollutants in the atmosphere: A review. Central European Journal of Geosciences, 6(3), 257–278.
Manisalidis, I., Stavropoulou, E., Stavropoulos, A., & Bezirtzoglou, E. (2020). Environmental and health impacts of air pollution: A review. Frontiers in Public Health, 8, Article 14. https://doi.org/10.3389/fpubh.2020.00014
Pasquill, F. (1961). The estimation of the dispersion of windborne material. Meteorological Magazine, 90(1063), 33–49.
Pemerintah Kota Balikpapan. (2021). Peraturan Daerah Kota Balikpapan Nomor 6 Tahun 2021 tentang Rencana Pembangunan Jangka Menengah Daerah (RPJMD) Kota Balikpapan Tahun 2021–2026.
Pemerintah Republik Indonesia. (2021). Peraturan Pemerintah Nomor 22 Tahun 2021 tentang Penyelenggaraan Perlindungan dan Pengelolaan Lingkungan Hidup (Lampiran VII: Baku Mutu Udara Ambien).
Seinfeld, J. H., & Pandis, S. N. (2016). Atmospheric chemistry and physics: From air pollution to climate change (3rd ed.). John Wiley & Sons.
Stockie, J. M. (2011). The mathematics of atmospheric dispersion modeling. SIAM Review, 53(2), 349–372. https://doi.org/10.1137/10080991X
Turner, D. B. (1994). Workbook of atmospheric dispersion estimates: An introduction to dispersion modeling (2nd ed.). CRC Press.
Ulfah, S., et al. (2018). Advection-diffusion model for the simulation of air pollution distribution from a point source emission. Journal of Physics: Conference Series, 948, 012067.
US EPA. (1995). SCREEN3 model user’s guide (EPA-454/B-95-004). U.S. Environmental Protection Agency, Office of Air Quality Planning and Standards.
Visscher, A. D. (2014). Air dispersion modeling: Foundations and applications. John Wiley & Sons.
World Health Organization. (2021). WHO global air quality guidelines: Particulate matter (PM2.5 and PM10), ozone, nitrogen dioxide, sulfur dioxide and carbon monoxide. World Health Organization.





