Abe, H. (1996). Liquefaction shaking table tests for sandy ground with embankment. Doboku Gakkai Ronbunshu, 1996(554), 1–17.
Babasaki, R., Suzuki, K., & Suzuki, Y. (1992, July). Centrifuge tests on improved ground for liquefaction. In Proceedings of the 10th World Conference on Earthquake Engineering (pp. 1461–1464). Balkema.
Baez, J. I., & Martin, G. R. (1992). Liquefaction observations during installation of stone columns using the vibro replacement technique. Geotechnical News, 10(3), 41–44.
Bradley, B. A., Araki, K., Ishii, T., & Saitoh, K. (2013). Effect of lattice-shaped ground improvement geometry on seismic response of liquefiable soil deposits via 3-D seismic effective stress analysis. Soil Dynamics and Earthquake Engineering, 48, 35–47.
Cao, Y., Kurimoto, Y., Zhou, Y. G., Ishikawa, A., & Chen, Y. (2023). Centrifuge model tests on liquefaction mitigation effect of soil-cement grids under large earthquake loadings. Bulletin of Earthquake Engineering, 21(1), 1–20.
DehghanKhalili, H. (2018). Investigating the effect of deep mixing columns on reducing liquefaction complications under surface foundations [Unpublished doctoral dissertation]. University of Tehran, (in Persian).
Hamada, J., Honda, T., & Nakatsu, N. (2016). Dynamic centrifuge model tests on failure behavior of grid-form DMWs supporting a tall building. Takenaka Technical Research Report, 72, 1–13.
Hazirbaba, K., & Omarow, M. (2019). Strain-based assessment of liquefaction and seismic settlement of saturated sand. Cogent Engineering, 6(1), 1573788.
Ishii, I., Towhata, I., Hiradate, R., Tsukuni, S., Uchida, A., Sawada, S. I., & Yamauchi, T. (2017). Design of grid-wall soil improvement to mitigate soil liquefaction damage in residential areas in Urayasu. Journal of JSCE, 5(1), 27–44.
Kaneda, K., & Hamada, J. (2021). Centrifuge model simulation for seismic behavior of grid-form deep mixing walls supporting a building. In
Challenges and Innovations in Geomechanics: Proceedings of the 16th International Conference of IACMAG (Vol. 2, pp. 44–50). Springer.
https://doi.org/10.1007/978-3-030-64514-4_5
Kitazume, M. (2009). Twenty-nine years of experience with physical modelling of geotechnical problems in port structures. International Journal of Physical Modelling in Geotechnics, 9(3), 1–19.
Kitazume, M., & Takahashi, H. (2010). Centrifuge model tests on effect of deep mixing wall spacing on liquefaction mitigation. In Proceedings of the 7th International Conference on Urban Earthquake Engineering & 5th International Conference on Earthquake Engineering (pp. 473–478). Tokyo Institute of Technology.
Kramer, S. L. (1996). Geotechnical earthquake engineering. Pearson Education India.
Kuhlemeyer, R. L., & Lysmer, J. (1973). Finite element method accuracy for wave propagation problems. Journal of the Soil Mechanics and Foundations Division, 99(5), 421–427.
Li, H., Dong, S., El-Tawil, S., & Kamat, V. R. (2013). Relative displacement sensing techniques for postevent structural damage assessment. Journal of Structural Engineering, 139(9), 1421–1434.
Madani, H., & Alielahi, H. (2024). Numerical study of the use of deep mixing method with grid pattern in the improvement of liquefiable soils in order to reduce the seismic response of structures. 9th International Conference on Seismology and Earthquake Engineering (SEE9). Tehran, Iran.
Matsuo, O., Shimazu, T., Goto, Y., Suzuki, Y., Okumura, R., & Kuwabara, M. (1996). Deep mixing method as a liquefaction prevention measure. In Proceedings of the 2nd International Symposium on Ground Improvement Geosystems (pp. 521–526). Tokyo.
Midas. (2019). GTS NX user manual. MIDAS Information Technology Corporation Ltd.
Ministry of Construction. (1999). Design and construction manual of liquefaction prevention techniques (draft). Joint Research Report.
Mohammadian, M., Edalati, A., Rashidi, S., & Edalati, A. (2018). Evaluation of the design structures spectrum against earthquakes and factors affecting it. Omran Nameh Student Scientific Journal, 1(3), 15–22.
Mori, H., Ogawa, Y., Kusano, K., Okamoto, J., & Abe, H. (2000). Centrifuge dynamic modeling test and two-dimensional liquefaction analysis for huge river dike. 12th World Conference on Earthquake Engineering (12WCEE), Paper No. 0476.
Namikawa, T., Koseki, J., & Suzuki, Y. (2007). Finite element analysis of lattice-shaped ground improvement by cement-mixing for liquefaction mitigation.
Soils and Foundations, 47(3), 559–576.
https://doi.org/10.3208/sandf.47.559
Nguyen, T. V., Rayamajhi, D., Boulanger, R. W., Ashford, S. A., Lu, J., Elgamal, A., & Shao, L. (2013). Design of DSM grids for liquefaction remediation. Journal of Geotechnical and Geoenvironmental Engineering, 139(11), 1923–1933.
O’Rourke, T. D., & Goh, S. H. (1997). Reduction of liquefaction hazards by deep soil mixing. In Post-Earthquake Reconstruction Strategies: NCEER-INCEDE Center-to-Center Project (pp. 87–105).
Porbaha, A. (2000). State of the art in deep mixing technology. Part IV: Design considerations. Proceedings of the Institution of Civil Engineers-Ground Improvement, 4(3), 111–125.
Porbaha, A., Zen, K., & Kobayashi, M. (1999). Deep mixing technology for liquefaction mitigation. Journal of Infrastructure Systems, 5(1), 21–34.
Rabeti Moghadam, M., Alielahi, H., & Sadeghi Abdollahi, A. (2017). Numerical evaluation of liquefaction-induced damages in composite breakwaters and its application for performance-based improvement design. Marine Georesources & Geotechnology, 35(3), 376–396.
Rahmani, A., Fare, O. G., & Pak, A. (2012). Investigation of the influence of permeability coefficient on the numerical modeling of the liquefaction phenomenon.
Scientia Iranica, 19(2), 179–187.
https://doi.org/10.1016/j.scient.2012.02.010
Rayamajhi, D., Nguyen, T. V., Ashford, S. A., Boulanger, R. W., Lu, J., Elgamal, A., & Shao, L. (2012). Effect of discrete columns on shear stress distribution in liquefiable soil. In GeoCongress 2012: State of the Art and Practice in Geotechnical Engineering (pp. 1908–1917).
Siddharthan, R. V., & Porbaha, A. (2008). Seismic response validation of DM treated liquefiable soils. Geotechnical Earthquake Engineering and Soil Dynamics IV, 1–10.
Takahashi, H., Morikawa, Y., Iba, H., Fukada, H., Maruyama, K., & Takehana, K. (2013). Experimental study on lattice-shaped cement treatment method for liquefaction countermeasure. In Proceedings of the 18th International Conference on Soil Mechanics and Geotechnical Engineering (pp. 1619–1622).
Topolnicki, M. (2016, February). General overview and advances in deep soil mixing. In XXIV Geotechnical Conference of Torino: Design, Construction and Controls of Soil Improvement Systems (pp. 25–26).
Tsukuni, S., Uchida, A., Honda, T., & Konishi, K. (2014). Dynamic centrifuge model test focused on settlement of the residence improved with grid-form deep mixing walls. Geotechnical Engineering Journal, 9(4), 761–771.
Watanabe, K., Wang, T., Ishikawa, M., Iijima, M., & Mihira, S. (2023). Dynamic behavior of liquefiable ground reinforced by in-situ cement-mixing lattice wall.
Soils and Foundations, 63(4), 101352.
https://doi.org/10.1016/j.sandf.2023.101352
Yamashita, K., Hamada, J., Onimaru, S., & Higashino, M. (2012). Seismic behavior of piled raft with ground improvement supporting a base-isolated building on soft ground in Tokyo.
Soils and Foundations, 52(5), 1000–1015.
https://doi.org/10.1016/j.sandf.2012.11.017