Very tough question .... Was this tank constructed IAW API-650 or AWWA codes ? ..... 6mm bottom plate thickness ???
Someone with a very old water tank may be able to answer this question. But, I cannot believe there is any analysis out there about this.
My guess is that as long as you maintain a 2m minimum depth on the tank while filling , you will be all right.
During your periodic tank inspection, ( 5 years?) I would request a more detailed ultrasonic inspection on the tank floor in the area of question.
I also have no problem with the welding of an erosion plate on the tank bottom if any wastage of the impact area is noted.
I also would not be surprised that a carbon steel tank has erosion in this area from years of AERATED water filling.
(BTW, The careful detailed engineering of inlet and outlet tank connections and impact plates is VERY IMPORTANT on ACID TANKS such as Sulfuric acid)
Give up more dimensional and other details about your storage tank construction
How old is the tank and what kind of internal coating do you have in the area in question ???
MJCronin
Sr. Process Engineer