official_code/experiments/source_identification/problems/well_observed.toml

# Well-observed problem for good source inference
# Observations form a "net" downstream of the source at multiple y-positions
# This configuration should yield a well-constrained source estimate

[physics]
vx = 1.0          # Advection velocity in x
vy = 0.0          # Advection velocity in y
D = 0.05          # Diffusion coefficient
domain = [0.0, 1.0, 0.0, 1.0]  # [x_min, x_max, y_min, y_max]
c_inflow = 0.0    # Dirichlet BC at left boundary

[[sources]]
x = 0.3
y = 0.5
strength = 5.0
width = 0.08

# Downstream "net" of observations at multiple x and y positions
# Captures the plume spread and allows triangulation back to source

[[observations]]
x = 0.35
y = 0.3

[[observations]]
x = 0.35
y = 0.5

[[observations]]
x = 0.35
y = 0.7

# First vertical line at x=0.5 (just downstream of source)
[[observations]]
x = 0.5
y = 0.3

[[observations]]
x = 0.5
y = 0.5

[[observations]]
x = 0.5
y = 0.7

# Second vertical line at x=0.65
[[observations]]
x = 0.65
y = 0.25

[[observations]]
x = 0.65
y = 0.5

[[observations]]
x = 0.65
y = 0.75

# Third vertical line at x=0.8
[[observations]]
x = 0.8
y = 0.3

[[observations]]
x = 0.8
y = 0.5

[[observations]]
x = 0.8
y = 0.7

# Far downstream at x=0.95
[[observations]]
x = 0.95
y = 0.4

[[observations]]
x = 0.95
y = 0.6

# A couple upstream to anchor the inflow region
[[observations]]
x = 0.15
y = 0.5

[[observations]]
x = 0.15
y = 0.3

[[observations]]
x = 0.15
y = 0.7

[noise]
std = 0.01
seed = 42