Geodesic Location–Allocation for Liquefaction Investigation Coverage in Uttarakhand, India
Abstract
Site-scale liquefaction investigations in Uttarakhand are concentrated in the Roorkee–Haridwar and Rudrapur–Khatima corridors. This article asks a narrower, operational question: where should a limited reconnaissance programme investigate next to reduce geographic gaps in that evidence? Fifteen settlement-centred nodes were represented as a complete weighted graph, with four literature-supported investigation centres fixed as anchors. Exact enumeration evaluated one to five additions using p-median, p-center and equally weighted, within-budget normalised objectives. Existing anchors produced a mean nearest-centre distance of 27.15 km and a maximum of 69.29 km. For two additions, Dehradun–Kashipur and Vikasnagar–Kashipur were exactly co-optimal under the balanced and p-median objectives, reducing the mean to 15.61 km and the maximum to 41.04 km; all nodes then lay within an illustrative 50 km planning radius. A WGS 84 ellipsoidal ablation preserved all principal selections and changed the two-site balanced mean by only −0.003 km. In 2,000 seeded coordinate-perturbation trials, a western node was effectively invariant, while Kashipur and Bazpur divided most central-eastern selections. The result is a reproducible coverage design, not a liquefaction-hazard map. Complete tie reporting, coordinate provenance, deterministic rules, pinned software versions, convergence checks and file hashes make the analysis independently auditable.
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BibTeX
@misc{sheode2026geodesic,
title = {{Geodesic Location–Allocation for Liquefaction Investigation Coverage in Uttarakhand, India}},
author = {MOHIT SHEODE},
howpublished = {EarthArXiv},
year = {2026},
month = sep,
doi = {10.31223/x5t79p},
url = {https://eartharxiv.org/repository/view/15109/},
note = {CC BY-NC 4.0},
}
RIS
TY - UNPB
TI - Geodesic Location–Allocation for Liquefaction Investigation Coverage in Uttarakhand, India
AU - MOHIT SHEODE
PY - 2026
DA - 2026/09/20
PB - EarthArXiv
DO - 10.31223/x5t79p
UR - https://eartharxiv.org/repository/view/15109/
AB - Site-scale liquefaction investigations in Uttarakhand are concentrated in the Roorkee–Haridwar and Rudrapur–Khatima corridors. This article asks a narrower, operational question: where should a limited reconnaissance programme investigate next to reduce geographic gaps in that evidence? Fifteen settlement-centred nodes were represented as a complete weighted graph, with four literature-supported investigation centres fixed as anchors. Exact enumeration evaluated one to five additions using p-median, p-center and equally weighted, within-budget normalised objectives. Existing anchors produced a mean nearest-centre distance of 27.15 km and a maximum of 69.29 km. For two additions, Dehradun–Kashipur and Vikasnagar–Kashipur were exactly co-optimal under the balanced and p-median objectives, reducing the mean to 15.61 km and the maximum to 41.04 km; all nodes then lay within an illustrative 50 km planning radius. A WGS 84 ellipsoidal ablation preserved all principal selections and changed the two-site balanced mean by only −0.003 km. In 2,000 seeded coordinate-perturbation trials, a western node was effectively invariant, while Kashipur and Bazpur divided most central-eastern selections. The result is a reproducible coverage design, not a liquefaction-hazard map. Complete tie reporting, coordinate provenance, deterministic rules, pinned software versions, convergence checks and file hashes make the analysis independently auditable.
ER -