▲

Visualisation divergence process

Proces notation infiltration

name:infiltration.
water infiltration into the vadose zone [1,2] = above-ground freshwater collection [1] ► groundwater vadose zone [2],
water seepage through an aquitard [2,3] = groundwater vadose zone [2] ► partially permeable layer [3];constraint:"false",
water infiltration into the aquifer [2,4] = groundwater vadose zone [2] ► permeable layer [4],
seepage from the aquitard to the aquifer [3,4] = partially permeable layer [3] ► permeable layer [4],
groundwater flow [4,5] = permeable layer [4] ► groundwater flow [5],
water spring [5,6] = groundwater flow [5] ► upper course rivers [6],
label:hydrology, soil infiltration, time window: continuous (Edugraph).

Adjacency graph infiltration

For a simple graph with vertex set U = {u1, ..., un}, the adjacency matrix is a square n × n matrix A such that its element Aij is 1 when there is an edge from vertex ui to vertex uj, and 0 when there is no edge.[1] The diagonal elements of the matrix are all 0, since edges from a vertex to itself, loops, are not allowed in simple graphs.

0 1 0 0 0 0 above-ground freshwater collection [1]
0 0 1 1 0 0 groundwater vadose zone [2]
0 0 0 1 0 0 partially permeable layer [3]
0 0 0 0 1 0 permeable layer [4]
0 0 0 0 0 1 groundwater flow [5]
0 0 0 0 0 0 upper course rivers [6]

From this matrix, you can see horizontally how many paths branch off from a node. For the ‘groundwater-saturated zone’, there are two. There is therefore divergence. Vertically, you can see that two also arrive at the ‘permeable layer’. There is therefore divergence there as well.

Educative directed graph infiltration