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wave_propagator.f90
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wave_propagator.f90
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module wave_propagator
use precision_m
use parameter_input
use main_module
implicit none
contains
subroutine para_prepare
!! assign values for pml layers
!! 1:npoints_pml,nx-npoints_pml+1:nx
call adding_abs_val(vp_f0,dens,tau11_eps,tau_sigma,nx,nz,&
nrel,npoints_pml)
open(12,file='vp_test',access='direct',form='unformatted',&
recl=ii_bi*nz)
do i=1,nx
write(12,rec=i) &
(vp_f0(i,j),j=1,nz)
enddo
close(12)
call vp_f0_2_vp(nx,nz,lv,nrel,f_ref,c11_r,vp_f0,vp,dens,&
tau11_eps,tau_sigma)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!---
c(1)=1.23538628085693269
c(2)=-0.109160358903484037
c(3)=0.246384765606012697d-1
c(4)=-0.660472512788868975d-2
!!!!! FD coefficients, holberg version
c(1)=1.231666
c(2)=-0.1041182
c(3)=0.02063707
c(4)=-0.003570998
!!!!!!!!!!!!!!!!! Stability Condition !!!!!!!!!!!!!!
cons1=sqrt(1.0/deltax**2+1.0/deltaz**2)
!
sum_a=0.0
!
do i=1,lv
sum_a=sum_a+abs(c(i))
enddo
!
sum_a=1.0/sum_a
!
do i=1,nx
do j=1,nz
deltat_v=deltat*vp(i,j)
cons2=deltat_v*cons1
if(cons2.gt.sum_a) then
print *,'Stability condition not reached !!!!'
stop
endif
enddo
enddo
! print *,'Maximum allowed V', sum_a/(cons1*deltat)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
do i=1,lv
dlh(i)=c(i)/deltax
dlv(i)=c(i)/deltaz
enddo
call assign_parameter(nx,nz,lv,nrel,deltat,&
tau11_eps,tau11,tau11_new,tau_sigma,x1,x2,&
c11_r,dens,c11_u)
! compute cpml coefficients !
call cpml_coef(a_x,b_x,k_x,a_z,b_z,k_z,&
a_x_half,b_x_half,k_x_half,a_z_half,b_z_half,k_z_half,&
npoints_pml,nx,nz,deltax,deltaz,deltat,vp_f0,f0)
end subroutine para_prepare
subroutine iso_visco_step_p(vx,vz,p,r,memory_dvx_dx,memory_dvz_dz)
real (fp_kind) :: value_dvx_dx, &
value_dvz_dz, sum_r
integer::num_threads, omp_get_num_threads
real,dimension(-lv:nx+lv,-lv:nz+lv)::vx,vz,p
real,dimension(1:nrel,-lv:nx+lv,-lv:nz+lv)::r
real,dimension(1:nx,1:nz)::memory_dvx_dx,memory_dvz_dz
!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(i,j,l,sum_r,value_dvx_dx,value_dvz_dz)
!$OMP DO
do j = 1,nz
do i = 1,nx
value_dvx_dx = dlh(1)*(vx(i,j) - vx(i-1,j)) &
+ dlh(2)*(vx(i+1,j) - vx(i-2,j)) &
+ dlh(3)*(vx(i+2,j) - vx(i-3,j)) &
+ dlh(4)*(vx(i+3,j) - vx(i-4,j))
value_dvz_dz = dlv(1)*(vz(i,j) - vz(i,j-1)) &
+ dlv(2)*(vz(i,j+1) - vz(i,j-2)) &
+ dlv(3)*(vz(i,j+2) - vz(i,j-3)) &
+ dlv(4)*(vz(i,j+3) - vz(i,j-4))
memory_dvx_dx(i,j) = b_x(i,j) * memory_dvx_dx(i,j) + a_x(i,j) * value_dvx_dx
memory_dvz_dz(i,j) = b_z(i,j) * memory_dvz_dz(i,j) + a_z(i,j) * value_dvz_dz
value_dvx_dx = value_dvx_dx / K_x(i) + memory_dvx_dx(i,j)
value_dvz_dz = value_dvz_dz / K_z(j) + memory_dvz_dz(i,j)
! epsilon_m(i,j)=epsilon_m(i,j)-deltat*(value_dvx_dx+value_dvz_dz)
p(i,j) = p(i,j) + c11_u(i,j) * (value_dvx_dx + value_dvz_dz)
! p(i,j)=-c11_u(i,j)/deltat*epsilon_m(i,j)
!------------------------------------------------------------
! compute stress sigma and update memory variables for C-PML
!------------------------------------------------------------
sum_r = zero
!! for Q modeling
do l = 1, nrel
! assign half of the sums from the previous time step (half of the
! memory variables are stored in each r)
sum_r = sum_r + 0.5e0*r(l,i,j)
enddo
do l = 1, nrel
! update the stiff system of memory variables by the
! Crank-Nicholson (time-averaged) scheme.
! Half of each memory variable is updated and used
! if(modeling) then
! x1 = 1.0/(1.0 + deltat*0.50*tau_sigma(l,i,j))
! x2 = 1.0 - deltat*0.50*tau_sigma(l,i,j)
! else
! x1 = 1.0/(1.0 + deltat*0.50*tau_sigma(l,i,j))
! x2 = 1.0 - deltat*0.50*tau_sigma(l,i,j)
! endif
r(l,i,j) = x1(l,i,j)*(x2(l,i,j)*r(l,i,j) + tau11(l,i,j)*(value_dvx_dx + &
value_dvz_dz) )
sum_r = sum_r + 0.5e0*r(l,i,j)
enddo
p(i,j) = p(i,j) - deltat*sum_r
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
end subroutine iso_visco_step_p
subroutine iso_visco_step_vxz(vx,vz,p,memory_dp_dx,memory_dp_dz)
use omp_lib
real (fp_kind) :: value_dp_dx, &
value_dp_dz
real,dimension(-lv:nx+lv,-lv:nz+lv)::vx,vz,p
real,dimension(1:nx,1:nz)::memory_dp_dx,memory_dp_dz
integer::num_threads
!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(i,j,value_dp_dx)
!$OMP DO
do j = 1,nz
do i = 1,nx
value_dp_dx = dlh(1)*(p(i+1,j) - p(i,j)) &
+dlh(2)*(p(i+2,j) - p(i-1,j)) &
+dlh(3)*(p(i+3,j) - p(i-2,j)) &
+dlh(4)*(p(i+4,j) - p(i-3,j))
memory_dp_dx(i,j) = b_x_half(i,j) * memory_dp_dx(i,j) &
+ a_x_half(i,j) * value_dp_dx
value_dp_dx = value_dp_dx / K_x_half(i) + memory_dp_dx(i,j)
vx(i,j) = vx(i,j) - value_dp_dx * DELTAT / dens(i,j)
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
!$OMP PARALLEL DEFAULT(SHARED) PRIVATE(i,j,value_dp_dz)
!$OMP DO
do j = 1,nz
do i = 1,nx
value_dp_dz = dlv(1)*(p(i,j+1) - p(i,j)) &
+dlv(2)*(p(i,j+2) - p(i,j-1)) &
+dlv(3)*(p(i,j+3) - p(i,j-2)) &
+dlv(4)*(p(i,j+4) - p(i,j-3))
memory_dp_dz(i,j) = b_z_half(i,j) * memory_dp_dz(i,j) &
+ a_z_half(i,j) * value_dp_dz
value_dp_dz = value_dp_dz / K_z_half(j) + memory_dp_dz(i,j)
vz(i,j) = vz(i,j) - value_dp_dz * DELTAT / dens(i,j)
enddo
enddo
!$OMP END DO
!$OMP END PARALLEL
end subroutine iso_visco_step_vxz
end module wave_propagator