# Tsunami Bores in Kitakami River

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## Abstract

The 2011 Tohoku tsunami entered the Kitakami river and propagated there as a train of shock waves, recorded with a 1-min interval at water level stations at Fukuchi, Iino, and the weir 17.2 km from the mouth, where the bulk of the wave was reflected back. The records showed that each bore kept its shape and identity as it traveled a 10.9-km-path Fukuchi–Iino–weir–Iino. Shock handling based on the cross-river integrated classical shock conditions was applied to reconstruct the flow velocity time histories at the measurement sites, to estimate inflow into the river at each site, to evaluate the wave heights of incident and reflected tsunami bores near the weir, and to estimate propagation speed of the individual bores. Theoretical predictions are verified against the measurements. We discuss experiences of exercising the shock conditions with actual tsunami measurements in the Kitakami river, and test applicability of the shallow-water approximation for describing tsunami bores with heights ranging from 0.3 to 4 m in a river segment with a depth of 3–4 m.

### Keywords

Tohoku tsunami 2011 shock wave shock conditions bore undular bore Kitakami River## Notes

### Acknowledgments

The water level measurements were provided by the Kitakamigawa-Karyu (Downstream region of Kitakami River) River Office of the Tohoku Regional Bureau, Ministry of Land, Infrastructure and Transport of Japan. The Kitakami River bathymetry was developed in the National Institute for Land and Infrastructure Management, Japan, for their collaborative research with the Tohoku University, using bed elevation data acquired by the Kitakamigawa-Karyu River Office. Authors thank two reviewers for their careful reading and helpful suggestions on improving the paper’s presentation.

### References

- Abe, K. (1986). Tsunami propagation in rivers of the Japanese Islands.
*Continental Shelf Research*,*5*(6), 655–677.CrossRefGoogle Scholar - Adityawan, M. B., Tanaka, H., & Yeh, H. (2014). An Estimation of Land Subsidence due to the 2011 Earthquake using Measured Water Level Data.
*Journal of JSCE, Ser.B2 (Coastal Engineering)*,*70*(2), I_216–I_220. (**in Japanese**).CrossRefGoogle Scholar - Aoyama, Y., Adityawan, M. B., Widiyanto, W., Mitobe, Y., Komori, D., & Tanaka, H. (2016). Numerical Study on Tsunami Propagation into a River. In a. Vila-Concejo, E. Bruce, D. M. Kennedy & R. J. McCarroll (Eds.),
*Proceedings of the 14th International Coastal Symposium (Sydney, Australia)*. Journal of Coastal Research, Special Issue, No. 75 (pp. 1017–1021). Coconut Creek (Florida), ISSN 0749-0208.Google Scholar - Benjamin, T. B., & Lighthill, M. J. (1954). On cnoidal waves and bores.
*Proceedings of the Royal Society*,*A224*, 448–460.CrossRefGoogle Scholar - Buschman, F. A., Hoitink, A. J. F., van der Vegt, M., & Hoekstra, P. (2009). Subtidal water level variation controlled by river flow and tides.
*Water Resources Research*,*45*, W10420. doi: 10.1029/2009WR008167.CrossRefGoogle Scholar - Buschman, F. A., Hoitink, A. J. F., van der Vegt, M., & Hoekstra, P. (2010). Subtidal flow division at a shallow tidal junction.
*Water Resources Research*,*46*, W12515. doi: 10.1029/2010WR009266.CrossRefGoogle Scholar - Chanson, H. (2010). Undular tidal bores: basic theory and free-surface characteristics.
*Journal of Hydraulic Engineering*,*136*(11), 940–944. doi: 10.1061/(ASCE)HY.1943-7900.0000264.CrossRefGoogle Scholar - Chanson, H. (2012). Momentum considerations in hydraulic jumps and bores.
*Journal of Irrigation and Drainage Engineering*,*138*(4), 382–385. doi: 10.1061/(ASCE)IR.1943-4774.0000409.CrossRefGoogle Scholar - Fritz, H. M., Petroff, C. M., Cataln, P., Cienfuegos, R., Winckler, P., Kalligeris, N., et al. (2011). Field survey of the 27 February 2010 Chile tsunami.
*Pure and Applied Geophysics*,*168*(11), 1989–2010. doi: 10.1007/s00024-011-0283-5.CrossRefGoogle Scholar - Fukushima, M., Matsuura, T., & Hattori, A. (2013). Experimental study on the characteristics of River tsunami.
*Journal of JSCE B-2 (Coast. Eng.)*,*69*(2), I_261–I_265 (**in Japanese**).Google Scholar - Henderson, F. M. (1966).
*Open Channel Flow*. (Macmillan Publishing Co., Inc, NY, Collier Macmillan Publishers, London)Google Scholar - Kayane, K., Min, R., Tanaka, H., & Tinh, N. X. (2011). Influence of river mouth topography and tidal variation on tsunami propagation into rivers.
*Journal of JSCE, Ser.B2 (Coastal Engineering)*,*B2–67*(1), 246–250 (**in Japanese**).Google Scholar - Liu, H., Shimozono, T., Takagawa, T., Okayasu, A., Fritz, H. M., Sato, S., et al. (2013). The 11 March 2011 Tohoku tsunami survey in Rikuzentakata and comparison with historical events.
*Pure and Applied Geophysics*,*170*, 1033–1046.CrossRefGoogle Scholar - Mori, N., Takahashi, T., Yasuda, T., & Yanagisawa, H. (2011). Survey of 2011 Tohoku earthquake tsunami inundation and runup. GRL, 38, L00G14. doi: 10.1029/2011GL049210
- Stoker, J. J. (1957).
*Water Waves*. New York: Interscience Pub Inc.Google Scholar - Tanaka, H., Ishino, K., Nawarathna, B., Nakagawa, H., Yano, S., Yasuda, H., et al. (2008). Field investigation of disaster in Sri Lankan rivers caused by the 2004 Indian Ocean tsunami.
*Journal Hydroscience and Hydraulic Engineering*,*26*(1), 91–112.Google Scholar - Tanaka, H., Kayane, K., Adityawan, M. B., Roh, M., & Farid, M. (2014). Study on the relation of river morphology and tsunami propagation in rivers.
*Ocean Dynamics*,*64*(9), 1319–1332. doi: 10.1007/s10236-014-0749-y.CrossRefGoogle Scholar - Tolkova, E., Tanaka, H., & Roh, M. (2015). Tsunami observations in rivers from a perspective of tsunami interaction with tide and riverine flow.
*Pure and Applied Geophysics*,*172*(3–4), 953–968. doi: 10.1007/s00024-014-1017-2.CrossRefGoogle Scholar - Tsuji, Y., Yanuma, T., Murata, I., & Fujiwara, C. (1991). Tsunami ascending in rivers as an undular bore.
*Natural Hazards*,*4*, 257–266.CrossRefGoogle Scholar - Yasuda, H. (2010). One-dimensional study on propagation of tsunami wave in river channels.
*Journal of Hydraulic Engineering*,*136*(2), 93–105.CrossRefGoogle Scholar - Yeh, H., Tolkova, E., Jay, D., Talke, S., & Fritz, H. (2012). Tsunami hydrodynamics in the Columbia river.
*Journal of Disaster Research*,*7*(5), 604–608.CrossRefGoogle Scholar