## 1 Introduction
According to the obtained results, liquefaction occurs in the backfill, and with the improvement of the backfill, the vertical displacements in the quay structure decrease by 200% and the horizontal displacements by 350%. [PERSON] et al. [3] investigated the dynamic behavior of anchored sheet-pile quay walls embedded in liquefiable soils with shake table tests. According to the obtained results, it was seen that the damages occurring in the support structures were caused by liquefaction. It was also observed that the lateral displacements of the walls were caused by large displacements of the anchors towards the sea. When weak areas were improved, the deformations in the wall and anchors decreased significantly. In this case, the tensile forces in the anchors increased. [PERSON] et al. [4] investigated the suitability of the performance-based design (PBD) method, which can evaluate specially designed permanent deformations and damage amounts under seismic loads, on anchored sheet piled quay walls. They developed a methodology using permanent displacement and finite element analysis, calibrating an experimental reference considering a typical anchored sheet-piled wall. A reduction factor that accounts for deformation behavior is determined for pseudo-static analysis. A model to apply traditional permanent displacement analysis on anchored sheet-pile walls is proposed. From the study, it was observed that PBD evaluation can be effectively used for seismic analysis and design of such structures. [PERSON] et al. [5] examined an existing quay wall with a three-dimensional interaction analysis. Both the hardening soil model (HSM) and the soft soil creep model (SSCM) were used in the analyses. According to the obtained results, it was seen that not only the undrained and drained properties but also the secondary consolidation effects on the deformation behavior of the quay wall should be taken into account. [PERSON] et al. [6] investigated the performance of the quay walls with anchored sheet piles with separate pile-supported platforms through field testing and numerical analysis. The structural features, construction processes, and instrumentation of the quay system were also taken into account in the study. Considering the obtained results, it has been observed that the platform behind the sheet piles significantly reduces the deflection of the wall. When compared with the numerical results, [PERSON]'s earth pressure theory significantly overestimates the earth pressure acting on the sheet-pile wall at higher elevations and underestimates the values at lower elevations. [PERSON] et al. [7] discussed in their study the solution of the proposed design for strengthening a quay wall consisting of a wooden pile foundation and a sheet-pile wall connected to the anchor plates with tie rods. Finite element analyses were carried out to evaluate the short- and long-term performance of the proposed solution for the structure resting on very weak soft clay soil. In this case, the design of the quay structure was determined by the allowable deformations, highlighting the importance of performance-based design in current engineering practices. [PERSON] et al. [8] investigated the seismic performance of quay walls using the finite element method. A real gravity quay wall (Kobe Harbor Quay Wall) was simulated with single-frequency earthquake motion using the Plaxis 2D program. The acceleration and displacement behaviors of the quay wall were investigated numerically. The experimentally obtained results from the shaking table in dry and saturated conditions were compared with the numerical results. The results show that the Plaxis-2D finite element program is an effective tool to predict the seismic performance of the quay wall and there was clear agreement between both the results of the experimental results and the numerical modeling. [PERSON] et al. [9] numerically investigated the use of earth-reinforced walls with geogrids as quay walls.