First off, I need to say something.

Those of you who may remember my posts a year or two ago, I apologize for my irresponsible behavior. I behaved impatiently and uncaring for the mechanical responsibility I had taken upon myself.

That has changed. I ask that I be forgiven for the facepalm-inducing, rage-spawning posts I made when I first joined, and in exchange I offer my compliance in mechanical advice given and an attitude of humility. This is no longer a novel entertainment for me, the time is drawing near, and the urge growing, for this to become a mode of transportation for me. As it stands, it reliably starts and would drive without major mechanical issue.

Regarding what may come to light about the car, as I now suspect things may be far worse than I had previously thought, I beg patience and understanding. Disposal or sale of the car is out of the question, as my father would surely disown me for doing so. As well, the rust on the chassis is minor to the point of being removable with less than 15mins of work, which makes it greatly valuable in it's own right. Replacement, and removal of the engine is a disallowed option as well, as the money to replace it [entirely] shall not be accrued for an indefinite amount of time.

The pretext out of the way, I ask for assistance in the identification of an oil line. I believe I have identified the source of a substantial external oil leak (amount leaked is dependent on oil pressure). It is on/near the oil metering pump, and consultation with the Haynes manual has not yielded me identification of the cut line. As to why it's cut, I shall not divulge, the story is too long to tell at the present time.
Discovery of this has also answered questions regarding why the exhaust spewed so much smoke when the engine was stressed and why most of the underside of the front subframe is grimy black.

What you might see in the photo as to the condition of the external surfaces, again, I beg your forgiveness. My attitude and approach to this car has changed, and one can only move forward from this point.

(Oil line to be identified in the red box)

(This is the best angle I could manage.)

I appreciate any assistance that can be rendered and hope that this begins a more positive phase of this project.
Thank you.

 

You may just be well off to get an S5 oil metering pump,that has intact lines.(that go the the injectors).
I have one,but it is being held.
If the guy Backs out,I can sell it to ya.It is in Mint condition.S5 Electric OMP with lines.

 

that isn't an oil line, it's a condensation drain for the electric motor of the MOP.

 

yah dude not an oil line

 

Where is that picture taken? It looks to me like its near the oil cooler so if thats so, I would check the oil line connection to the cooler (making sure the bolts tight and the washers are still on there)

 

Best angle I could get, going up between the stabilizer and steering rack. That is the underside of the Oil Metering Pump.
I appreciate the advice so far. Circumstances will not enable me to start her for the near future, about 2wks<, so I cannot contribute more definite information. I will say though that when my father and I were poking around under her(a couple months ago), he theorized that the 'line' in the photo was a cut oil return line or something similar(and given the car's history, that was not an unreasonable assumption). Lucy was due for some idle-time as well(even though she's garaged and on stands I try and regularly run her at idle for quarter hour [starts the first time, every time]). So after she has warmed-up, it is observed that there is no active leak from the engine or anywhere else. I suggest that the leak is pressure-dependent and [ensuring prior the engine is warm] give the engine enough throttle to raise the oil pressure. Father, who is under the car, immediately calls oil flowing from the indicated orifice. We switched places, and indeed, there was oil coming from the 'line' when the engine was stressed. It should be noted that the oil flow was not continuous, elevated pressure would 'bead' fluid from the tip of the 'line' and it would drip if engine rpms continued to be elevated. (never did rpms exceed 3000 during this experimentation).

 

Here's a jpg of someones turbo cars OMP. I don't own a series five and have no idea what that hose does in life. There was an answer in a post above about what it does in life.