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model_parameter_fre.jl
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model_parameter_fre.jl
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# Setup the model parameters.
# include("draw_graph.jl");
# ===================================================
# Head function
struct acquisition_fre
# space and frequency
Nx::Int64
Ny::Int64
h::Float32
# time
Nt::Int64
dt
t
# frequency
frequency::Array{Float32}
fre_num::Int64
# source
source_num::Int64
source_coor
# receiver
receiver_num::Int64
receiver_coor
projection_op
projection_op_pml
# PML
pml_len::Int64
pml_alpha::Float32
Nx_pml::Int64
Ny_pml::Int64
end
function source_ricker(center_fre, center_time, t)
x = (1 - 2*pi^2*center_fre^2*(t-center_time).^2) .* exp.(-pi^2*center_fre^2*(t-center_time).^2);
return x;
end
function build_source_multi(center_fre,center_time,t,fre_position,source_num,fre_num,ricker=true)
if ricker == true
source_time = source_ricker(center_fre, center_time, t);
source_fre = fft(source_time);
source_func = source_fre[fre_position];
else
source_func = ones(length(fre_position));
end
# Outer is source index, middle is frequency index
source_multi = zeros(Complex64,Nx*Ny,fre_num,source_num);
for ind_source = 1:source_num
for ind_fre = 1:fre_num
source_mat = zeros(Complex64,Nx,Ny);
source_mat[source_coor[ind_source,1], source_coor[ind_source,2]] = source_func[ind_fre];
source_mat = reshape(source_mat,Nx*Ny,1);
source_multi[:,ind_fre,ind_source] = source_mat;
end
end
return source_multi
end
function build_proj_op(Nx,Ny,receiver_coor,receiver_num)
R = spzeros(Int64,Nx*Ny,Nx*Ny);
receiver_ind = receiver_coor[:,1] + (receiver_coor[:,2]-1)*Nx;
for i = 1:receiver_num
R[receiver_ind[i],receiver_ind[i]] = 1;
end
return R
end
function build_proj_op_pml(Nx,Ny,receiver_coor,receiver_num,pml_len)
# This is for build the adjoint source during the adjoint method
Nx_pml = Nx + 2pml_len - 2;
Ny_pml = Ny + 2pml_len - 2;
R = spzeros(Int64,Nx_pml*Ny_pml,Nx_pml*Ny_pml);
receiver_coor += (pml_len-1);
receiver_ind = receiver_coor[:,1] + (receiver_coor[:,2]-1)*Nx_pml;
for i = 1:receiver_num
R[receiver_ind[i],receiver_ind[i]] = 1;
end
return R
end
function extend_vel(vel, acq_fre)
# return to the vector version extended velocity
pml_len = acq_fre.pml_len;
Nx_pml = acq_fre.Nx + 2pml_len;
Ny_pml = acq_fre.Ny + 2pml_len;
vel_ex = zeros(Nx_pml,Ny_pml);
vel_ex[pml_len+1:end-pml_len,pml_len+1:end-pml_len] = vel;
for i = 1:pml_len
vel_ex[i,:] = vel_ex[pml_len+1,:];
vel_ex[end-i+1,:] = vel_ex[end-pml_len,:];
vel_ex[:,i] = vel_ex[:,pml_len+1];
vel_ex[:,end-i+1] = vel_ex[:,end-pml_len];
end
vel_ex_vec = reshape(vel_ex,Nx_pml*Ny_pml,1);
return vel_ex_vec
end
# ===================================================
# Space
# Nx = 101;
# Ny = 101;
# h = 1/100;
# vel_true = 2ones(Float32,Nx,Ny);
# # vel_true[46:55,46:55] = 2.5;
# vel_true[:,33:66] = 2.5;
# vel_true[:,67:end] = 3;
# vel_init = 2ones(Float32,Nx,Ny);
# Read Marmousi
using MAT;
vars = matread("marmousi_dz10.mat");
vel_true = vars["vel"]; vel_true = vel_true.';
vel_true = convert(Array{Float32,2},vel_true)
Nx, Ny = size(vel_true);
h = 10;
using ImageFiltering
vel_init = imfilter(vel_true, Kernel.gaussian(15));
matshow(vel_true')
savefig("vel_true.png")
# PML
pml_len = 50;
pml_alpha = 1;
Nx_pml = Nx + 2pml_len;
Ny_pml = Ny + 2pml_len;
# ===================================================
# Time
sample_fre = 1000.0; # Hertz
dt = 1/sample_fre;
Nt = 1000;
t = linspace(0,(Nt-1)*dt,Nt);
fre = sample_fre * linspace(0,1-1/Nt,Nt);
fre_position = 10:10;
frequency = fre[fre_position];
fre_num = length(frequency);
println("Frequency: ", frequency)
# ===================================================
# Source
source_num = 1;
source_coor = zeros(Int,source_num,2);
for i = 1:source_num
source_coor[i,1] = 500;
source_coor[i,2] = 1;
end
# for i = 7:12
# source_coor[i,1] = 1 + 20*(i-7);
# source_coor[i,2] = 101;
# end
println("Source number: ", source_num)
source_multi = build_source_multi(15,0.1,t,fre_position,source_num,fre_num,true);
source_vec = zeros(Nx,Ny);
source_vec[20,20] = 1;
source_vec = reshape(source_vec,Nx*Ny,1);
# ===================================================
# Receiver
receiver_num = Nx;
receiver_coor = zeros(Int,receiver_num,2);
for i = 1:receiver_num
receiver_coor[i,1] = i;
receiver_coor[i,2] = 1;
end
println("Receiver number: ", receiver_num)
# Projection operator
R = build_proj_op(Nx,Ny,receiver_coor,receiver_num);
R_pml = build_proj_op_pml(Nx,Ny,receiver_coor,receiver_num,pml_len);
# Display model
# draw_model(vel_true, vel_init, receiver_coor,source_coor);
# Make acquisition
acq_fre = acquisition_fre(Nx,Ny,h,Nt,dt,t,frequency,fre_num,source_num,source_coor,receiver_num,receiver_coor,R,R_pml,pml_len,pml_alpha,Nx_pml,Ny_pml);