Title: Mathematical model of fractal conduits flow mechanics in the Gunungsewu karst area, Yogyakarta Special Region, Indonesia

Authors: Sari Bahagiarti Kusumayudha; M.T. Zen; Sudarto Notosiswoyo; Rudy Sayoga Gautama

Addresses: Geology Department, Faculty of Mineral Technology, Universitas Pembangunan Nasional Veteran Yogyakarta, Jl Padjadjaran, Condongcatur, Yogyakarta, Indonesia ' Institut Teknologi Bandung, Jl Ganesha, 10, Bandung, Indonesia ' Institut Teknologi Bandung, Jl Ganesha, 10, Bandung, Indonesia ' Mining Engineering Department, Faculty of Mining Engineering and Petroleum Engineering, Institute of Technology of Bandung, Jl Ganesha, 10, Bandung, Indonesia

Abstract: The Gunungsewu area, Yogyakarta, Indonesia is known as a karst landform with unique hydrogeological setting. Water is stored and flown in subsurface chambers and channels. There are some underground rivers, with flow rate ranging from 200 l/sec to 1,000 l/sec, used by the local people to fulfil their fresh water needs. The Gunungsewu is often exploited as a research area by karst geologists, geomorphologists, and hydrogeologists due to its fascinating natural features. A variety of groundwater modelling has been developed, including mathematical modelling, but in this case, the water is generally illustrated as flowing through a pipe with simplified channel shape. In fact, the form of karst channels is actually uneven. This irregularity causes karst channels should be described as fractal geometry. Consequently, some groundwater flow mechanics equations need to be modified, so that they are more appropriate to be applied in the karst region.

Keywords: mathematical model; groundwater flow; fractal geometry; karst.

DOI: 10.1504/IJHST.2022.123169

International Journal of Hydrology Science and Technology, 2022 Vol.13 No.4, pp.424 - 436

Received: 01 Jun 2020
Accepted: 07 Aug 2020
Published online: 01 Jun 2022 *

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