First of all, if you aren't pretty good at math, you might as well skip this post. It will be sure to piss you off otherwise.
There are plenty of intelligent people on this board who can surely answer this question (ie prove me wrong or right). My current hypothesis is that people at high elevation get doubly screwed by its effects and therefore run considerably slower than people at sea level contrary to the popular belief that turbo engines in fact suffer much less from elevation effects than N/A engines (I suggest the effects are about same between the two).
Evidence #1: Empirical data
As a scientist, I know the MOST important data is empirical. Quantum theory, for example, looks wonderful on paper, but rarely matches real observed data - therefore quantum physicists use interpolated equations to make quantum predictions instead of using mathematically substantiated equations based on theory. Ie, what you see is what you get, regardless of theory. I see many properly built/matched engines at Bandimere (5860ft) running SIGNIFICANTLY slower here than the same combos would make at sea level. I never see any turbo engines at Bandimere running anywhere close to what their sea level counterparts run (correct me if I'm wrong) and in fact, if the standard NHRA correction equation for N/A engines is applied, the ETs get pretty close.
Evidence #2: Atmospheric pressure drop = less air to the engine
This is the obvious. It is what we all know. Atmospheric pressure at Bandimere is often about 24.5 inches Hg. Sea level should be about 1 atm, or 29.9 inches Hg. 29.9 inches Hg = 14.7 psi and 24.5 inches Hg = 12.0 psi, or about 18% less air/volume. Therefore, if you have 10psi boost, absolute intake pressure at sea level is 24.7 psi and only 22.0 at Bandimere or about a 11% drop. This is where the theory behind the idea that turbo engines suffer less from altitude than N/A engines originated - the turbo engine only suffers 11% while the N/A engine suffers 18%. I disagree...
Hypothesis: Boost gauge at sea level does NOT = boost gauge at elevation.
I'm supposed have about -2.7psi of pressure when compared to sea level. Why does my gauge show 0 when my car is off? I think (correct me if I'm wrong here) that the gauge doesn't have an internal standard, but in fact is comparing pressure in the intake to outside pressure regardless of outside pressure (if I have to, I'll take my gauge off and stick it in a vacuum box and test this hypothesis). That means that when a boost gauge reads 14.7 psi at sea level, it is really reading the fact that intake pressure is 2X atmospheric pressure. So 14.7 psi on my boost gauge here is really about 12.0 psi X2 (since it is seeing 2X atmospheric, not 14.7 psi greater than an internal standard). So, 10psi at sea level is 10/14.7 + 1 = 1.68 X outside pressure, and 1.68 X 12.0 = 20.2 absolute psi at Bandimere. 20.2/24.7 (same boost at sea level) = .82, or 82% (ie 18% less absolute pressure than sea level), just like N/A engines. So, my hypothesis in a nutshell - turbos will make up a certain amount of atmospheric pressure drop, but only if you adjust your boost pressure according to altitude related gauge error (or only if your boost gauge uses an internal standard pressure, which, correct me if I'm wrong, few to none do). Shoot me down if I am wrong.
Additional math to consider:
In order for ET to decrease linearly, horsepower (HP) must increase exponentially (this is because you are not only going through the 1/4 mile in less time, but also at a higher velocity):
Given that at HP=X, then ET=Y
If HP=4x, ET= 0.5Y
ie (if 200 HP = 15 second ET, then 800 HP = 7.5 second ET)
Therefore, ET=K/HP^(1/2) where K is a constant, / is "divided by" and ^(1/2) is square root - assuming the above to be true,
15=K/200^(1/2) (by the way, K would change with weight - we are assuming a constant weight somewhere near that of our cars stock)
15=K/14.1421
K=212.132
Just to test the equation, assume HP = 800 (ET should =7.5)
ET=212.132/800^(1/2)
ET=212.132/28.284
ET=7.5
Airflow should be linear to HP
Given that Air=X then HP=Y
If Air=2X, then HP=2Y
Therefore, Air = C*HP where c is another constant and * means "times"
Intake pressure ideally should be close to linear to Airflow (assuming constant Temp, VE and RPM):
Given P=X, the Air=Y
if P=2X, then Air=2Y
Therefore, P = (roughly)C*Air
So, HP and intake pressure should be *nearly* linearly related and so intake pressure should have nearly the same effect on ET as HP, So:
Given P=X, ET=Y
then P=4X, ET=1/2Y (again, assuming constant temp, rpm, weight, and VE)
Therefore ET=K/P^(1/2)
Given for sea level P=1 atm, and P=.82 atm at Bandimere,
ET=K/1^(1/2)
ET=K at sea level
For Bandimere:
ET=K/.82^(1/2)
ET=K/.91
So, since ET=K at sea level (or K=ET(sea)), then ET(Band)=ET(sea)/.91
In otherwords, based on my rough correlation between intake pressure and HP, one would assume the ET conversion from sea level to Bandimere to be a division by .91, ie 14sec at sea level = 14/.91 at Bandimere. Using a linear regression analysis, the NHRA correction factor from sea level to Bandimere for N/A engines is .927. Pretty close considering the rough transition from HP to intake pressure.
There are plenty of intelligent people on this board who can surely answer this question (ie prove me wrong or right). My current hypothesis is that people at high elevation get doubly screwed by its effects and therefore run considerably slower than people at sea level contrary to the popular belief that turbo engines in fact suffer much less from elevation effects than N/A engines (I suggest the effects are about same between the two).
Evidence #1: Empirical data
As a scientist, I know the MOST important data is empirical. Quantum theory, for example, looks wonderful on paper, but rarely matches real observed data - therefore quantum physicists use interpolated equations to make quantum predictions instead of using mathematically substantiated equations based on theory. Ie, what you see is what you get, regardless of theory. I see many properly built/matched engines at Bandimere (5860ft) running SIGNIFICANTLY slower here than the same combos would make at sea level. I never see any turbo engines at Bandimere running anywhere close to what their sea level counterparts run (correct me if I'm wrong) and in fact, if the standard NHRA correction equation for N/A engines is applied, the ETs get pretty close.
Evidence #2: Atmospheric pressure drop = less air to the engine
This is the obvious. It is what we all know. Atmospheric pressure at Bandimere is often about 24.5 inches Hg. Sea level should be about 1 atm, or 29.9 inches Hg. 29.9 inches Hg = 14.7 psi and 24.5 inches Hg = 12.0 psi, or about 18% less air/volume. Therefore, if you have 10psi boost, absolute intake pressure at sea level is 24.7 psi and only 22.0 at Bandimere or about a 11% drop. This is where the theory behind the idea that turbo engines suffer less from altitude than N/A engines originated - the turbo engine only suffers 11% while the N/A engine suffers 18%. I disagree...
Hypothesis: Boost gauge at sea level does NOT = boost gauge at elevation.
I'm supposed have about -2.7psi of pressure when compared to sea level. Why does my gauge show 0 when my car is off? I think (correct me if I'm wrong here) that the gauge doesn't have an internal standard, but in fact is comparing pressure in the intake to outside pressure regardless of outside pressure (if I have to, I'll take my gauge off and stick it in a vacuum box and test this hypothesis). That means that when a boost gauge reads 14.7 psi at sea level, it is really reading the fact that intake pressure is 2X atmospheric pressure. So 14.7 psi on my boost gauge here is really about 12.0 psi X2 (since it is seeing 2X atmospheric, not 14.7 psi greater than an internal standard). So, 10psi at sea level is 10/14.7 + 1 = 1.68 X outside pressure, and 1.68 X 12.0 = 20.2 absolute psi at Bandimere. 20.2/24.7 (same boost at sea level) = .82, or 82% (ie 18% less absolute pressure than sea level), just like N/A engines. So, my hypothesis in a nutshell - turbos will make up a certain amount of atmospheric pressure drop, but only if you adjust your boost pressure according to altitude related gauge error (or only if your boost gauge uses an internal standard pressure, which, correct me if I'm wrong, few to none do). Shoot me down if I am wrong.
Additional math to consider:
In order for ET to decrease linearly, horsepower (HP) must increase exponentially (this is because you are not only going through the 1/4 mile in less time, but also at a higher velocity):
Given that at HP=X, then ET=Y
If HP=4x, ET= 0.5Y
ie (if 200 HP = 15 second ET, then 800 HP = 7.5 second ET)
Therefore, ET=K/HP^(1/2) where K is a constant, / is "divided by" and ^(1/2) is square root - assuming the above to be true,
15=K/200^(1/2) (by the way, K would change with weight - we are assuming a constant weight somewhere near that of our cars stock)
15=K/14.1421
K=212.132
Just to test the equation, assume HP = 800 (ET should =7.5)
ET=212.132/800^(1/2)
ET=212.132/28.284
ET=7.5
Airflow should be linear to HP
Given that Air=X then HP=Y
If Air=2X, then HP=2Y
Therefore, Air = C*HP where c is another constant and * means "times"
Intake pressure ideally should be close to linear to Airflow (assuming constant Temp, VE and RPM):
Given P=X, the Air=Y
if P=2X, then Air=2Y
Therefore, P = (roughly)C*Air
So, HP and intake pressure should be *nearly* linearly related and so intake pressure should have nearly the same effect on ET as HP, So:
Given P=X, ET=Y
then P=4X, ET=1/2Y (again, assuming constant temp, rpm, weight, and VE)
Therefore ET=K/P^(1/2)
Given for sea level P=1 atm, and P=.82 atm at Bandimere,
ET=K/1^(1/2)
ET=K at sea level
For Bandimere:
ET=K/.82^(1/2)
ET=K/.91
So, since ET=K at sea level (or K=ET(sea)), then ET(Band)=ET(sea)/.91
In otherwords, based on my rough correlation between intake pressure and HP, one would assume the ET conversion from sea level to Bandimere to be a division by .91, ie 14sec at sea level = 14/.91 at Bandimere. Using a linear regression analysis, the NHRA correction factor from sea level to Bandimere for N/A engines is .927. Pretty close considering the rough transition from HP to intake pressure.