DELTA - We specialise in microelectronics, light, optics, EMC, acoustics, vibration, sensors and wireless technology
DELTA Acoustics


Calculation method for prediction of noise propagating outdoors



Nord2000 is a calculation method for prediction of noise propagating outdoors. The method may be applied to a wide variety of noise sources, and covers most major mechanisms of attenuation. The Nord2000 method can be used for predicting short term noise levels in one-third octave bands from 25 Hz to 10 kHz when sound is propagating over ground from a source to a receiver. The method can be used for any terrain shapes including screens and for common weather conditions.


The Nord2000 method was developed in the period 1996-2001 by DELTA (Denmark, project leader), SINTEF (Norway), and SP (Sweden). The work was financed by The Nordic Council of Ministers and by other Nordic authorities. The Nord2000 method was revised in 2005-2006 financed by the Nordic road authorities in order to make the method ready for road traffic noise calculations. Shortly after a proposal for Nordtest standard method was prepared of the Nord2000 propagation model financed by Nordic Innovation Centre to obtain a complete and unambiguous description of the method.


Source models have been elaborated for road and rail traffic within the Nord2000 project but the propagation model may be applied to other noise sources like industry, airports and wind turbines.

Complex sources are in Nord2000 modeled by dividing the source into a number of incoherent point sources. Road and railway lines are represented by a number of vertically and horizontally spaced point sources.

A real terrain shape is in Nord2000 represented by a sequence of line segments and each segment is assigned a type of surface (asphalt, grass, forest floor etc.).

Short term noise levels are in Nord2000 predicted on basis of the vertical sound speed profile determined from vertical wind speed and temperature profile information. Such profiles can be estimated on basis of commonly available information from weather stations like wind speed, air temperature and cloud cover.

Long term noise levels like the yearly average of Lden are determined by repeating the prediction for a number of weather classes. Each weather class is defined by a vertical sound speed profile. The long term noise level is determined as the average noise level of the classes weighted by the percentage of occurrence obtained from weather statistics. The long term noise level scheme may also be used to determine the distribution of noise levels.


The propagation part of the Nord2000 method has been validated by more than 500 propagation cases based on measurements as well as reference results obtained by accurate numerical prediction methods. The result of validation has been described in a DELTA report (see Nord2000 reports below).

The propagation part of Nord2000 has furthermore successfully been validated by measurements for high sources in the research project "Noise and energy optimization of wind farms" in order to apply Nord2000 for the prediction of noise from wind turbines (see Nord2000 reports below).

Test cases

DELTA has defined a large number of test cases where road traffic noise has been calculated by the Nord2000 method. The purpose of the test cases is to provide a basis for testing software developed according to the Nord2000 method. The test cases cover most aspects of the method. The test cases are described in "Corrected test cases for control of Nord2000-road" (Danish Environmental Protection Agency (EPA), Environmental Project, 1276, 2009) and the description of the test cases and the results given in four Excel spread sheets can be downloaded from the web site of EPA (see below).

Computer programs using Nord2000

DELTA sells two programs exSound2000 and SPL2000 where the sound pressure level is calculated in a single receiver point.

The software SoundPLAN® from SoundPLAN International LLC is offering prediction of noise from road, rail and industry including noise maps in accordance with the Nord2000 method.

EMD International is offering a Nord2000 module within the software WindPRO for performing advanced calculations of noise from wind turbines and wind farms according to the Nord2000 method.


The Nord2000 Summary Report AV 1719/01 gives an overview of the calculation principles used in Nord2000 whereas more details can be found in the two project reports AV 1849/00 and AV 1851/00 denoted "Part 1" and "Part 2". Part 1 is describing the method in case of no significant refraction effects of the weather (straight ray propagation). Part 2 describes the necessary modifications of the "Part 1" model in order to include the effect of weather on refraction (curved ray propagation). The form of the two project report is not appropriate as the basis for programming of the Nord2000 method. Instead it is recommended to use the "Proposal for Nordtest Method" in the report AV 1106/07 which gives a complete description of the method.

Other reports describe

  • Source models for road and railway traffic
  • A method for calculating long term noise levels using Nord2000
  • Validation of Nord2000
  • Guidance for road traffic noise calculations using Nord2000



Birger Plovsing

Tel. +45 72 19 46 32


Copyright ©2010 - DELTA - Venlighedsvej 4 - 2970 Hørsholm - Denmark - Tel. +45 72 19 40 00