1994 Corolla oil consumption issues

I have a '94 Corolla 1.6L with 130,000 miles on it. When starting it in the mornings and when taking off from a stop I notice a plume of smoke from the back. I've added 1.5 quarts yesterday, and don't know where it is going. There is no evidence of a leak where I park??

Can anyone help? Are these engines prone to cylinder/ring problems?