OK we are going to talk about AC current and two phase.
For anything to work with electricity we need to complete a circuit. That means we need a live wire and a neutral wire connected to something that is going to conduct electricity. This could be a motor, heater, light etc...
Now water (not pure water) conducts electricity and so does the human body. Lets forget about the electrolysis side of the equation for now. But when two wires are submerge in our tank water electricity passes from neutral through the water to live. In this case the earth leakage will not trip as there is no electricity going to earth. It is simply passing from live to neutral and is drawing current. The current draw is the same on live and the neutral.
Now the aquariust comes along and puts his hand in the tank. What happens is current is now being drawn to earth and the current draw on the live and neutral has a difference. That is when the earth leakage trips.
Now if an Aquariust is properly insulated, has thick insulated shoos etc then when he puts his hand into the tank he will not trip the earth leakage because there is no current being drawn to earth. This is often just felt as a small electric shock. However by one putting ones hand into the tank it all depends where the electrical current is flowing. The closer to the live and neutral the the hand is inserted in the water, the more current will flow through the hand and the bigger the shock. If the aquariust is not properly insulated then he/she becomes the grounding probe and a huge shock is felt and the earth leakage should trip.
What is the benefit of a grounding probe. Well apart from if you don't have one you could be electrocuted. As soon as any electrical current passes through, from either live or neutral to ground then the earth leakage will trip. That is if the earth leakage is working properly.
What are the disadvantages of a grounding probe. If your earth leakage is not working correctly then you will get what Marcel is referring to.
I have not found or had an issue where the small electrical currents have caused the issues Marcel has had. But one to consider and be aware of.
DC current.
This is another issue all together. If two low voltage pumps are faulty Electrolysis will take place. But again if there is a grounding probe then the earth leakage should trip. If no grounding probe then the electricity will just flow from negative to positive and irons will be deposited in your water column.