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Topic: Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick
Posted by: Tom Pike
Date/Time: 08/02/08 19:53:00

Here's a go at the explanation:

First sum the total acoustic power that is measured at a single location - this is just the addition of the noise power heard from all the planes, with nearby planes contributing much more power. The Leq is proportional to the logarithm of the sum of noise power. A 16 hour Leq will sum noise of all the planes from 7 a.m to 11 p.m.

If the power from one additional plane is added on, the new Leq depends on the logarithmic sum, which means the increase in the Leq is larger if the original Leq was smaller.

For example:

log(3) = 0.48
log(3 +1) =0.60
Increase is 0.12

log(2) = 0.3
log(2 +1) = 0.48
Increase is 0.18

So logarithmically adding 1 to 3 increases the sum by 50% more (0.18 compared to 0.12) compared to logarithmically adding 1 to 2. Rather alarmingly, the recent ANASE review on the effects of noise was unable to  properly apply the concept of a logarithmic sum!

As far as dB is concerned, the effect is simply quantified (though it takes a little maths to derive the general formula): if two flight paths differ by 4 dB, an additional plane will add 10 to the power of 4/10, or 2.5 times the amount to the Leq of the quieter flight path compared to  the noisier one. In general to minimise the logarithmic sum, and hence the Leq, you want to concentrate noisy planes on noisy runways.

You can see this effect in the noise modelling done by the CAA. The noisiest region for three parallel runways will be the middle runway - it gets noise from planes on either side. So to minimise the logarithmic noise sum it makes sense to put the loudest operations, those are takeoffs, on the middle runway.

CAA have had to cut movements below capacity in 2020 due to breaching the 57 dB Leq noise contour, but putting departures on the middle runway (the current north runway) allows for 670,000 movements a year, while putting departures on the southern runway allows for only 615,000. Alternating mode, as it spreads out rather than concentrates the sound reduces the movements down to 605,000.

If the three runways were given the same mix of planes, the restriction on Leq contour area would actually mean Heathrow would have to contract!


Entire Thread
TopicDate PostedPosted By
3rd runway noise in Chiswick01/02/08 18:48:00 Jeff Gear
   Re:3rd runway noise in Chiswick01/02/08 18:59:00 Jim Lawes
      Re:Re:3rd runway noise in Chiswick01/02/08 19:52:00 Paul Morris
         Re:Re:Re:3rd runway noise in Chiswick02/02/08 09:16:00 Tim Henderson
   Re:3rd runway noise in Chiswick01/02/08 21:17:00 Jonathan Bingham
      Re:Re:3rd runway noise in Chiswick01/02/08 23:22:00 Jim Lawes
         Re:Re:Re:3rd runway noise in Chiswick05/02/08 13:39:00 Lou Valdini
   Re:3rd runway noise in Chiswick02/02/08 02:50:00 Richard Jennings
   Re:3rd runway noise in Chiswick02/02/08 09:25:00 Tom Pike
      Re:Re:3rd runway noise in Chiswick02/02/08 11:36:00 Jeff Gear
         Re:Re:Re:3rd runway noise in Chiswick02/02/08 11:45:00 Russell Peirs
            Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 11:56:00 Tim Henderson
            Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 12:03:00 Richard Jennings
               Re:Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 12:48:00 Paul Morris
                  Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 15:16:00 Tom Pike
         Re:Re:Re:3rd runway noise in Chiswick04/02/08 18:48:00 Jonathan Bingham
            Re:Re:Re:Re:3rd runway noise in Chiswick05/02/08 13:08:00 Jeff Gear
               Re:Re:Re:Re:Re:3rd runway noise in Chiswick05/02/08 13:24:00 Jane Davison
               Re:Re:Re:Re:Re:3rd runway noise in Chiswick05/02/08 14:48:00 Jonathan Bingham
                  Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick05/02/08 15:28:00 Jeff Gear
                     Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick05/02/08 16:27:00 Tom Pike
                        Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick05/02/08 18:10:00 Jeff Gear
                           Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick05/02/08 18:44:00 Tom Pike
                              Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick05/02/08 20:05:00 Jeff Gear
                                 Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick05/02/08 20:42:00 Tom Pike
                                    Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick07/02/08 12:51:00 Jeff Gear
                                       Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick07/02/08 19:23:00 Tim Henderson
                                          Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick07/02/08 21:43:00 Richard Jennings
                                             Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick07/02/08 22:16:00 Tim Henderson
                                       Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick08/02/08 08:06:00 Tom Pike
                                          Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick08/02/08 17:40:00 Jeff Gear
                                             Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick08/02/08 19:53:00 Tom Pike
                                                Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick09/02/08 00:47:00 Tom Pike
                                                Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick09/02/08 12:28:00 Jeff Gear
                                                   Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick09/02/08 17:20:00 Tim Henderson
                                                      Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick09/02/08 17:46:00 Tom Pike
                                                   Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick09/02/08 17:41:00 Tom Pike
                                                      Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick10/02/08 13:06:00 Jeff Gear
      Re:Re:3rd runway noise in Chiswick02/02/08 15:50:00 Jeff Gear
         Re:Re:Re:3rd runway noise in Chiswick02/02/08 16:16:00 Tim Henderson
            Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 17:34:00 Jane Davison
               Re:Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 19:09:00 Tim Henderson
                  Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 19:37:00 Tom Pike
                     Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 20:07:00 Tim Henderson
                        Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 12:45:00 Tom Pike
         Re:Re:Re:3rd runway noise in Chiswick02/02/08 18:34:00 Tom Pike
            Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 20:30:00 Paul Morris
               Re:Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 21:07:00 Jo Smith
               Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 12:46:00 Tom Pike
            Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 22:13:00 Jeff Gear
               Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 12:47:00 Tom Pike
            Re:Re:Re:Re:3rd runway noise in Chiswick02/02/08 22:25:00 Richard Jennings
               Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 12:49:00 Tom Pike
                  Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 16:18:00 Richard Jennings
                     Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 18:36:00 Tom Pike
                        Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 18:51:00 Tom Pike
                           Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 21:56:00 Richard Jennings
                              Re:Re:Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 23:41:00 Tom Pike
               Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 12:50:00 Paul Morris
                  Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 13:36:00 Tom Pike
                     Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 14:39:00 Tim Henderson
                        Re:Re:Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick03/02/08 18:59:00 Tom Pike
   Re:3rd runway noise in Chiswick05/02/08 05:15:00 David Lindsay
      Re:Re:3rd runway noise in Chiswick05/02/08 19:13:00 Paul Morris
         Re:Re:Re:3rd runway noise in Chiswick05/02/08 22:03:00 Jane Davison
            Re:Re:Re:Re:3rd runway noise in Chiswick06/02/08 12:13:00 Russell Peirs
            Re:Re:Re:Re:3rd runway noise in Chiswick06/02/08 12:14:00 Russell Peirs
            Re:Re:Re:Re:3rd runway noise in Chiswick06/02/08 13:26:00 Jonathan Bingham
               Re:Re:Re:Re:Re:3rd runway noise in Chiswick07/02/08 21:50:00 David Giles
                  Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick07/02/08 21:52:00 Paul Morris
                  Re:Re:Re:Re:Re:Re:3rd runway noise in Chiswick07/02/08 22:45:00 Richard Jennings

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