# Analysis of Movement Law and Influencing Factors of Hill-Drop Fertilizer Based on SPH Algorithm
## 2 Methodology
### Analysis of Effluence Factors
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Number** & \(V\) **(m s\({}^{-1}\))** & \(B\) **(mm)** & \(P\) **(mm)** & \(L\) **(mm)** & **Value** \\ \hline
1 & 1 & 1 & 1 & 1 & 0.021 \\
2 & 1 & 2 & 2 & 2 & 0.061 \\
3 & 1 & 3 & 3 & 3 & 0.069 \\
4 & 2 & 1 & 2 & 3 & 0.082 \\
5 & 2 & 2 & 3 & 1 & 0.024 \\
6 & 2 & 3 & 1 & 2 & 0.028 \\
7 & 3 & 1 & 3 & 2 & 0.038 \\
8 & 3 & 2 & 1 & 3 & 0.002 \\
9 & 3 & 3 & 2 & 1 & 0.001 \\ \hline \(K_{1}\) & 0.151 & 0.141 & 0.051 & 0.046 & \\ \(K_{2}\) & 0.134 & 0.087 & 0.144 & 0.127 & Influence order: \\ \(K_{3}\) & 0.041 & 0.098 & 0.131 & 0.153 & \(V\), \(L\), \(P\), \(B\) \\ \(R\) & 0.110 & 0.054 & 0.093 & 0.107 & \\ \hline Optimal scheme & \(V_{3}\) & \(B_{2}\) & \(P_{1}\) & \(L_{1}\) & \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Simulation results of index \(\varepsilon\). The range \(R\) reflects the influence degree of the factor level change on the simulation results. The impact was greater on the simulation results for the larger range, which was the factor that had the greatest influence on the experiment results. The formula for the range \(R\) was:  
\[R=\max\left\{K_{1},K_{2},K_{3}\right\}-\min\left\{K_{1},K_{2},K_{3}\right\} \tag{9}\]  
For example, the range of factor \(B\) was \(R(B)=K_{1}-K_{2}=0.141-0.087=0.054\). Similarly, the range \(R\) could be obtained for each factor. The simulation results of the index \(\varepsilon\) are shown in Table 3. From \(R(V)>R(L)>R(P)>R(B)\), it was known that the influence of each factor on the index \(\varepsilon\) in a descending sequence was \(V\), \(L\), \(P\), and \(B\). The selection of the optimal scheme was related to the experiment index. The experiment index was smaller, the fertilization effect was better, and it more closely matched the fertilizer characteristics of corn growth. Therefore, the level corresponding to the smaller index should be selected, that is, the level corresponding to the smallest value of \(K_{i}\) in each column. Therefore, the optimal scheme for the index was: \(V=1.6\) m/s, \(L=110\) mm, \(P=50\) mm, \(B=0\) mm. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Number** & \(V\) **(m s\({}^{-1}\))** & \(B\) **(mm)** & \(P\) **(mm)** & \(L\) **(mm)** & **Value** \\ \hline
1 & 1 & 1 & 1 & 1 & 0.062 \\
2 & 1 & 2 & 2 & 2 & 0.005 \\
3 & 1 & 3 & 3 & 3 & 0.102 \\
4 & 2 & 1 & 2 & 3 & 0.032 \\
5 & 2 & 2 & 3 & 1 & 0.021 \\
6 & 2 & 3 & 1 & 2 & 0.022 \\
7 & 3 & 1 & 3 & 2 & 0.060 \\
8 & 3 & 2 & 1 & 3 & 0.025 \\
9 & 3 & 3 & 2 & 1 & 0.021 \\ \hline \(K_{1}\) & 0.169 & 0.154 & 0.109 & 0.104 & \\ \(K_{2}\) & 0.075 & 0.051 & 0.058 & 0.087 & Influence order: \\ \(K_{3}\) & 0.106 & 0.145 & 0.183 & 0.159 & \(P\), \(B\), \(V\), \(L\) \\ \(R\) & 0.094 & 0.103 & 0.125 & 0.072 & \\ \hline Optimal scheme & \(V_{2}\) & \(B_{2}\) & \(P_{2}\) & \(L_{2}\) & \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Simulation results of index \(\lambda\). \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Number** & \(V\) **(m s\({}^{-1}\))** & \(B\) **(mm)** & \(P\) **(mm)** & \(L\) **(mm)** & **Value** \\ \hline
1 & 1 & 1 & 1 & 1 & 5.32 \\
2 & 1 & 2 & 2 & 2 & 7.07 \\
3 & 1 & 3 & 3 & 3 & 9.52 \\
4 & 2 & 1 & 2 & 3 & 15.96 \\
5 & 2 & 2 & 3 & 1 & 9.72 \\
6 & 2 & 3 & 1 & 2 & 6.11 \\
7 & 3 & 1 & 3 & 2 & 7.09 \\
8 & 3 & 2 & 1 & 3 & 6.71 \\
9 & 3 & 3 & 2 & 1 & 6.31 \\ \hline \(KThe simulation results of the index \(\lambda\) are shown in Table 4. From \(R(P)>R(B)>R(V)>R(L)\), it was known that the influence of each factor on the index \(\lambda\) in a descending sequence was \(P\), \(B\), \(V\), and \(L\). The optimal scheme for the index \(\lambda\) was \(P\) = 100 mm, \(B\) = 0 mm, \(V\) = 1.3 m/s, and \(L\) = 140 mm. The simulation results of the index \(S\) are shown in Table 5. From \(R(L)>R(V)>R(P)>R(B)\), it was known that the influence of each factor on the index \(S\) in a descending sequence was \(L\), \(V\), \(P\), and \(B\). The optimal scheme for the index \(S\) was \(L\) = 140 mm, \(V\) = 1.6 m/s, \(P\) = 50 mm, and \(B\) = \(-\)50 mm.