Density currents are caused by a difference in density, though low, of an entering fluid with the ambient fluid. This type of current is two-phased and found on riverbeds or in reservoirs behind dams, and is nonlinear in nature, complex, and sensitive to initial conditions. Fractal geometry is used as a powerful tool for studying complex natural phenomena. Using experimental studies and changes in inlet current conditions, the fractal and multi-fractal analyses of the interface between the density current and the ambient fluid were done. In addition, a search was made to find a possible connection between the nonlinear patterns. According to the results, with an increase in the inlet discharge and inlet density of the current the fractal dimension decreased. Further, the smaller the range of the singularity spectrum diagram was, i.e., the more it was less than 0.34, the lower the system's tendency was to be multi-fractal, and the system sensitive to large local changes. In the interface between the density current and the ambient fluid, using the fractal dimension-based Richardson number could improve experimental data by 12.4%. Moreover, with an increase in the Richardson number, the Reynolds number of the current decreased. Further, upon considering the fractal dimension, the Reynolds number improved by 23% and a good correlation with a coefficient of determination of 0.76.

密度电流是由进入的流体与环境流体的密度差异（尽管较低）引起的。这种类型的电流是两相的，存在于河床或大坝后面的水库中，本质上是非线性的，复杂的并且对初始条件敏感。分形几何学是研究复杂自然现象的有力工具。利用实验研究和入口电流条件的变化，对密度电流和环境流体之间的界面进行了分形和多重分形分析。另外，进行了搜索以找到非线性图案之间的可能连接。根据结果​​，随着电流的入口放电和入口密度的增加，分形维数减小。此外，奇点谱图的范围越小，ic 小于0.34的值越大，系统趋向于多重分形的趋势越小，并且系统对较大的局部变化敏感。在密度电流和环境流体之间的界面中，使用基于分形维数的理查森数可将实验数据提高12.4％。此外，随着理查森数的增加，电流的雷诺数减小。此外，考虑到分形维数，雷诺数提高了23％，并且与0.76的确定系数具有良好的相关性。随着理查森数的增加，电流的雷诺数减少。此外，考虑到分形维数，雷诺数提高了23％，并且与0.76的确定系数具有良好的相关性。随着理查森数的增加，电流的雷诺数减少。此外，考虑到分形维数，雷诺数提高了23％，并且与0.76的确定系数具有良好的相关性。