Hydraulic (2D Particles) is a 2-dimensional simulation and is therefore a much quicker filter, using heightmap information.
Hydraulic (X-Particles) is a 3D particle simulation filter, allowing much more control, but taking longer to simulate.
The image on the right shows the immediate effect of tfErosionHydraulic - this is set in Hydraulic (2D Particles) - against the standard Thermal Weathering mode with a tfNoise operator.
This image shows the effect of tfErosionHydraulic on a Linear mode of the tfGradient filter.
You can decide how many particles you would like used in the scene.
By default, this Particle Count is set at 10000.