Skip to main content
Log in

Application of the Static Headland-Bay Beach Concept to a Sandy Beach: A New Elliptical Model

  • Published:
Journal of Ocean University of China Aims and scope Submit manuscript

Abstract

The headland-bay beach is one of the most common coastal types in the world. Its morphology reflects the changes that occurred during long-term evolution of the sandy coast. Several headland-bay beach models have been proposed to simulate the coastline’s configuration in equilibrium. In this paper, a new elliptical model is proposed, described, and applied. On the east coast of Laizhou Bay in Shandong Province from Longkou Port to Diaolongzui, four typical headland-bay beaches have developed, and four headland-bay beach models are used in this paper to simulate the morphology of these beaches to assess the applicability of each model. The simulation results of the elliptical model verify that it is applicable to the study area. In addition, the elliptical model is easy to use. Through simulation and field investigations, we concluded that most of the coastal segments in this area will remain in an erosion state, and the human activity has a significant impact on the shoreline’s evolution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • CCRBC (Compilation Committee of ‘Records of Bays in China’), 1991. Records of Bays in China, Volume 7, Bays in North Shandong. Ocean Press, Beijing, 1–136.

    Google Scholar 

  • Chang, R. F., Zhuang, Z. Y., and Wu, J. Z., 1993. Retrogression and protection of the northwest coast of the Shandong Peninsula. Journal of Ocean University of Qingdao, 23(3): 60–68.

    Google Scholar 

  • Chen, Z. S., 1999. Seasonal variability of sand transport trends and distributions of wave energy flux in a beach between headlands. Marine Science Bulletin, 18(3): 41–48.

    Google Scholar 

  • Chen, Z. S., Wang, W. H., and Wu, S. Y., 2007. Introduction to the Gulf of China. Ocean Press, Beijing, 1–583.

    Google Scholar 

  • Dai, Z. J., 2004. Application of judgment rules for log-spiral coast to arc-shaped shoreline in South China. Journal of Tropical Ocean, 23(3): 43–49 (in Chinese with English abstract).

    Google Scholar 

  • Feng, X. L., Dong, W. W., Zhuang, Z. Y., Wang, Y. J., and Chen, Z. H., 2009. The calculation of alongshore silt discharge rates and evolution development in the east coast of Laizhou Bay. Periodical of Ocean University of China, 39(2): 304–308 (in Chinese with English abstract).

    Google Scholar 

  • González, M., and Medina, R., 2001. On the application of static equilibrium bay formations to natural and man-made beaches. Coastal Engineering, 43(3): 209–225.

    Article  Google Scholar 

  • Halligan, G. H., 1906. Sand movement on the New South Wales coast. Limnology Society, New South Wales Proceedings, 31: 619–640.

    Google Scholar 

  • Hsu, J. R. C., and Evans, C., 1989. Parabolic bay shapes and applications. Proceedings of the Institution of Civil Engineers, 87(4): 557–570.

    Article  Google Scholar 

  • Hsu, J. R. C., Uda, T., and Silvester, R., 2000. Shoreline protection methods–Japanese experience. In: Handbook of Coastal Engineering. McGraw-Hill, New York, 1–77.

    Google Scholar 

  • Klein, A. H. F., Vargas, A., Raabe, A. L. A., and Hsu, J. R. C., 2003. Visual assessment of bayed beach stability using computer software. Computers & Geosciences, 29: 1249–1257.

    Article  Google Scholar 

  • Krumbein, W. C., 1944. Shore processes and beach characteristics. In: Technical Memorandum. Beach Erosion Board, Washington, D. C., 1–47.

    Google Scholar 

  • Li, B., 2013. Evolution research of sand coast on the north of the Shandong Peninsula. PhD thesis. Ocean University of China.

    Google Scholar 

  • Li, B., Zhuang, Z. Y., Cao, L. H., and Du, F. C., 2013. Countermeasure research on erosion and protection of the sandy coast, Shandong Province, China. Shore & Beach, 81(2): 31–40.

    Google Scholar 

  • Li, Z. L., and Chen, Z. S., 2006. Equilibrium shape model of headland bay and application in South China coasts. Oceanography in Taiwan Strait, 25(1): 123–129.

    Google Scholar 

  • Li, Z. L., and Chen, Z. S., 2007. Progress in studies on the equilibrium shape of headland-bay shoreline. Marine Science Bulletin, 9(1): 74–83.

    Google Scholar 

  • Li, Z. L., Li, W. Q., Chen, Z. S., and Zhu, Y. M., 2014. Influencing factors and classifications of arc-shaped coasts in South China. Acta Geography Sinica, 69(5): 595–606.

    Google Scholar 

  • Moreno, L. J., 1997. Critical review of the headland-concept of shore protection. Master thesis. College Station, A&M University.

    Google Scholar 

  • Moreno, L. J., and Kraus, N. C., 1999. Equilibrium shape of headland-bay beaches for engineering design. Proceedings of the Coastal Sediments ’1999. American Society of Civil Engineers, New York, 860–875.

    Google Scholar 

  • Oliveira, F. S. B. F., and Barreiro, O. M., 2010. Applications of empirical models to bay-shaped beaches in Portugal. Coastal Engineering, 57: 124–131.

    Article  Google Scholar 

  • Rea, C. C., and Komar, P. D., 1975. Computer simulation models of hooked beach shoreline configuration. Journal of Sedimentary Petrology, 45: 866–872.

    Google Scholar 

  • Silvester, R., 1970. Growth of crenulate shaped bays to equilibrium. Waterways and Harbors Division, 96(2): 275–287.

    Google Scholar 

  • Tan, S. K., and Chiew, Y. M., 1994. Analysis of bayed beaches in static equilibrium. Journal of Waterway Port Coastal & Ocean Engineering, 120(2): 145–153.

    Article  Google Scholar 

  • Xia, Y. M., 1988. The curve of the plan outline of sandy bay in equilibrium. Proceeding of International Symposium on the Coastal Zone, Beijing, 341–352.

    Google Scholar 

  • Xu, J. S., 1989. Development of sand bar-lagoon and evolution of the coastline in the northern part of Shandong Peninsula at the late Holocene epoch. Journal of Oceanography of Huanghai & Bohai Seas, 7(4): 25–31.

    Google Scholar 

  • Xu, Z. J., Zhang, X. L., and Zhang, C. H., 2010. Coastal erosion in Shandong Peninsula and Yellow River Delta and related countermeasures. Science & Technology Review, 28(10): 90–95.

    Google Scholar 

  • Yang, Y. X., and Zhang, J. B., 2007. Static equilibrium headland bay coast theory and its application to coasts of the Yellow and Bohai Seas. Coastal Engineering, 26(2): 38–46.

    Google Scholar 

  • Yasso, W. E., 1965. Plan geometry of headland bay beaches. Geology, 73: 702–714.

    Article  Google Scholar 

  • Yu, J. T., and Chen, Z. S., 2010. Study of headland-bay sandy coast stability in South China. The Ocean Engineering, 28(2): 110–116.

    Google Scholar 

  • Yu, M. J., Chen, S. X., and Hsu, J. R. C., 2004. Reinspection on the precision of static equilibrium headland bay beach empirical equation. Proceedings of the 26th Ocean Engineering Conference. Taipei, 617–622.

    Google Scholar 

  • Zhuang, Z. Y., Chen, W. M., Xu, W. D., and Shen, C. L., 1989. Retrogression of straight sandy beaches in the Shandong Peninsula and its results. Journal of Ocean University of Qingdao, 19(1): 90–98 (in Chinese with English abstract).

    Google Scholar 

Download references

Acknowledgements

This study was supported by the Marine Public Benefit Scientific Research Special Fund Project of the State Oceanic Administration (Nos. 200905008 and 201405037). The authors would like to thank Prof. Guangxue Li for his helpful comments.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lihua Cao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, B., Zhuang, Z., Cao, L. et al. Application of the Static Headland-Bay Beach Concept to a Sandy Beach: A New Elliptical Model. J. Ocean Univ. China 19, 81–89 (2020). https://doi.org/10.1007/s11802-020-3899-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11802-020-3899-1

Key words

Navigation