When I play this in an acoustic, I play the big riff that usually alternates
between D and C notes which is played throughout the verses by playing Dsus2 
and D7sus, hammering on and off from the D and C on the b string instead. 
Alternately, you can just play the riff.

Verse 1: 
Dsus2 D7sus2
The static comes in slow 
You can feel it grow 
Our stream of conscience flows 
Under the streets below 

Interlude: 
Dsus2 D7sus2
(Oohs)

Verse 2: 
Dsus2 D7sus2
The rivers made of sound 
Still running underground 
Runs like a silent flood 
We run as thick as blood 

Prechorus:
                 Bb (x1333x@1)               F (133211@1)Can you hear it rise, Up from the ground 
                Bb (x1333x@1)                 GCan't (320003@1)drown it out, Can you hear it now 

- Chorus - 
              DThis (xx0232@1)is the sound of a heartbeat 
                                          BbThis (x1333x@1)is the sound from the discontented mouths
Of a haunted nation 
F (133211@1)                 GWe (320003@1)are the voice of breaking 
 DDown, (xx0232@1)Can you hear me? 
                                      BbThis (x1333x@1)is the sound of the desperation bound 
By our own collision 
F (133211@1)                   GWe (320003@1)are the voice of breaking 
 DDown (xx0232@1)

Verse 3: 
Dsus2 D7sus2
The static comes alive 
Beneath the broken skies 
John Perkins said it right 
Love is the final fight 

Interlude: Dsus2 D7sus2
(Oohs)

Prechorus 2:
             Bb (x1333x@1)         FLet (133211@1)it rise above, Rise above
             Bb (x1333x@1)              G (320003@1)There is no song, Louder than love 

- Chorus - 
              DThis (xx0232@1)is the sound of a heartbeat 
                                          BbThis (x1333x@1)is the sound from the discontented mouths
Of a haunted nation 
F (133211@1)                 GWe (320003@1)are the voice of breaking 
 DDown, (xx0232@1)Can you hear me? 
                                      BbThis (x1333x@1)is the sound of the desperation bound 
By our own collision 
F (133211@1)                   GWe (320003@1)are the voice of breaking 
 DDown (xx0232@1)

Breakdown: 
(This is the part where it gets quiet and then the solo comes in before a
third prechorus. If you are chording here just continue the Dsus2 D7sus2 
combo for the whole thing.)

Prechorus 2:
             Bb (x1333x@1)         FLet (133211@1)it rise above, Rise above
             Bb (x1333x@1)              G (320003@1)There is no song, Louder than love 

- Chorus - 
              DThis (xx0232@1)is the sound of a heartbeat 
                                          BbThis (x1333x@1)is the sound from the discontented mouths
Of a haunted nation 
F (133211@1)                 GWe (320003@1)are the voice of breaking 
 DDown, (xx0232@1)Can you hear me? 
                                      BbThis (x1333x@1)is the sound of the desperation bound 
By our own collision 
F (133211@1)                   GWe (320003@1)are the voice of breaking 
 DDown (xx0232@1)