## 2 Materials and Methods  
It is stated that there are generally two types of analysis in solid mechanical analyses performed with the finite element method: static and dynamic [20]. Static analysis is a situation where the sum of the forces applied to the object is zero (\(\Sigma\)F = 0; F: force), that is, the internal and external forces applied to the system keep the object in balance. In this case, the system is considered independent of time. In dynamic analyses, the motion of the solid (\(\Sigma\)F = ma; m: mass, a: acceleration) is expressed with time-dependent functions. Because the system is not in balance, there is a movement. In this study, linear static analysis was carried out assuming that the sum of the forces applied to the system considered was zero. In the finite element method, Equation (1) obtained for the entire system must be solved [25; 36; 37; 38]. This is the global version of the equations written for each node. Here, F is the force, K is the global stiffness matrix, and U is the displacement. \[\text{F}=\text{K}\times\text{U} \tag{1}\]  
The stiffness matrix is obtained through the assembly of the equations written for each element created in FEM. Equation (2) shows the stiffness matrix of an element in the discretized model. \[\text{k}_{\text{e}}=\text{t}\times\text{A}\times\text{B}^{\text{T}}\times \text{D}\times\text{B} \tag{2}\]  
In this equation, t is the thickness of the element, A is the area, B is the strain-displacement matrix that converts the displacements at the nodes into strain, and D is the matrix that reveals the relationship between stress and strain [37]. When these equations written for each element are assembled, they form the global stiffness matrix (K) of the entire model. How the global stiffness matrix (K) is created can be explained with the system consisting of four linear springs in Figure 4.  
Figure 4: Linear springs system [36]. Each spring represents an element in the finite element method. The system consists of four nodes. Therefore, the stiffness matrix to be obtained will be \(4\times 4\) in size. A stiffness matrix for each element is written as in Equation (3). \[ \begin{split}\text{k}_{1}&=\begin{bmatrix}k_{11}^{11}&k_{1 2}^{12}&0&0\\ k_{1}^{21}&k_{1}^{22}&0&0\\ 0&0&0&0\\ 0&0&0&0\end{bmatrix}\\ \text{k}_{2}&=\begin{bmatrix}0&0&0&0\\ k_{22}^{2}&k_{23}^{2}&0\\ k_{2}^{32}&k_{2}^{33}&0\\ 0&0&0&0\end{bmatrix}\\ \text{k}_{3}&=\begin{bmatrix}0&0&0&0\\ k_{23}^{2}&k_{23}^{2}&0\\ k_{3}^{32}&k_{3}^{33}&0\\ 0&0&0&0\end{bmatrix}\\ \text{k}_{4}&=\begin{bmatrix}0&0&0&0\\ 0&0&0&0\\ 0&0&k_{4}^{33}&k_{4}^{34}\\ 0&0&k_{4}^{43}&k_{4}^{44}\end{bmatrix}\end{split}  \tag{3}\]  
Here, the superscript refers to the number of nodes in each element of the matrix, and the subscript refers to the element number. There is a \(k_{1}^{11}=k_{1}^{22}=kI\) and \(k_{1}^{12}=k_{1}^{21}=-k_{1}\) relationship between the values in the stiffness matrix of each element. Through combining the stiffness matrices, the global stiffness matrix is obtained. \[\text{K}=\text{k}_{1}+\text{k}_{2}+\text{k}_{3}+\text{k}_{4} \tag{4}\]  
The global stiffness matrix of this system, which consists of four one-dimensional springs, is formed as in Equation (5). \[\text{K}= \begin{bmatrix}k_{1}^{11}&k_{1}^{12}&0&0\\ k_{1}^{21}&(k_{1}^{22}+k_{2}^{22}+k_{3}^{22})&(k_{2}^{23}+k_{3}^{23})&0\\ 0&(k_{2}^{32}+k_{3}^{32})&(k_{2}^{33}+k_{3}^{33}+k_{4}^{33})&k_{4}^{34}\\ 0&0&k_{4}^{43}&k_{4}^{44}\end{bmatrix}  \tag{5}\]  
For finite element modeling studies, the first step is to create a 3D model. Parameters such as density, Poisson's ratio, and Young's modulus of the structure or material under consideration should be determined. The created geometry must be discretized into finite elements according to the selected element type. Finally, the system is solved through defining boundary conditions (Figure 5). For this study, the static structural module of ANSYS 2021 R1 academic software was used. The fault geometry from the [PERSON] [39] study has been used to create the 3D geometry to be used in the FEM modeling.