Well, are you writing about a past situation leading to the present or a current/ongoing situation? Think.
It can be both. In fact, in most cases like this both are applicable.
Let's say landslides occured a couple of days ago and so far, the goverment hasn't ordered contractors to clear the river.
So to me, it's a past situation (landslides) leading to the present (river is still clogged). and it's also an ongoing situation (nobody will clear the river in the near future)
That's why I posted this question to see how native speakers pick the preferred tense.
I need to think about the second hint. I'll get back to you in a while
(Edit)
I guess we can use 'with' in place of 'which'
Landslided caused by the earthquake have blocked/are blocking a river in
the affected areas, creating two massive lakes with water levels rising rapidly.
As for 'which'
Landslided caused by the earthquake have blocked/are blocking a river in
the affected areas, creating two massive lakes [in which?] water levels rising rapidly.
Actually I don't see anything wrong with the original which though it sounds a bit odd. Can you give me a hint why the 'which' is wrong?