def test_implicit_solve_reverse_boundary_conditions(self):
self.inputs['boundary conditions'] = {
'right': {
'type': 'prescribed pressure',
'value': 2000 #psi
},
'left': {
'type': 'prescribed flux',
'value': 0 #ft^3/day
},
'top': {
'type': 'prescribed flux',
'value': 0 #ft^3/day
},
'bottom': {
'type': 'prescribed flux',
'value': 0 #ft^3/day
}
}
implicit = TwoDimReservoir(self.inputs)
implicit.solve()
np.testing.assert_allclose(implicit.get_solution(),
np.array([1015.9, 1051.5, 1184.8, 1582.9]),
atol=0.5)
return
def test_two_dim_solve_one_step(self):
self.inputs['numerical']['number of grids'] = {'x': 3, 'y': 3}
self.inputs['reservoir']['height'] = 10000.
self.inputs['reservoir']['depth'] = 20.
self.inputs['boundary conditions'] = {
'right': {
'type': 'prescribed pressure',
'value': 2000 #psi
},
'left': {
'type': 'prescribed flux',
'value': 0 #ft^3/day
},
'top': {
'type': 'prescribed flux',
'value': 0 #psi
},
'bottom': {
'type': 'prescribed flux',
'value': 0 #ft^3/day
}
}
implicit = TwoDimReservoir(self.inputs)
implicit.solve_one_step()
np.testing.assert_allclose(implicit.get_solution(),
np.array([
1002.8, 1022.6, 1201.8, 1002.8, 1022.6,
1201.8, 1002.8, 1022.6, 1201.8
]),
atol=0.5)
return
def test_compute_accumulation(self):
problem = TwoDimReservoir(self.inputs)
np.testing.assert_allclose(problem.compute_accumulation(0), 100.0)
return
def test_implicit_solve_with_wells_1(self):
self.inputs['wells'] = {
'rate': {
'locations': [(0.0, 1.0)],
'values': [1000],
'radii': [0.25]
},
'bhp': {
'locations': [(6250.0, 1.0)],
'values': [800],
'radii': [0.25]
}
}
self.inputs['reservoir'] = {
'permeability': 50, #mD
'porosity': 0.2,
'length': 10000, #ft
'height': 2500, #ft
'depth': 80 #ft
}
self.inputs['boundary conditions']['left']['type'] = 'prescribed flux'
self.inputs['boundary conditions']['left']['value'] = 0.0
self.inputs['boundary conditions']['right'][
'type'] = 'prescribed pressure'
self.inputs['boundary conditions']['right']['value'] = 2000.0
implicit = TwoDimReservoir(self.inputs)
implicit.solve()
np.testing.assert_allclose(implicit.get_solution(),
np.array([1028.9, 1031.6, 1096.7, 1563.7]),
atol=0.5)
return
def test_compute_transmissibility(self):
problem = TwoDimReservoir(self.inputs)
np.testing.assert_allclose(problem.compute_transmissibility(0, 0),
4000.0)
return
def test_implicit_solve(self):
implicit = TwoDimReservoir(self.inputs)
implicit.solve()
np.testing.assert_allclose(implicit.get_solution(),
np.array([1582.9, 1184.8, 1051.5, 1015.9]),
atol=0.5)
return
def test_implicit_solve_one_step(self):
implicit = TwoDimReservoir(self.inputs)
implicit.solve_one_step()
np.testing.assert_allclose(
implicit.get_solution(),
np.array([1295.1463, 1051.1036, 1008.8921, 1001.7998]),
atol=0.5)
return
def test_implicit_heterogeneous_permeability_solve_one_step(self):
self.inputs['reservoir']['permeability'] = [10., 100., 50., 20]
implicit = TwoDimReservoir(self.inputs)
implicit.solve_one_step()
np.testing.assert_allclose(implicit.get_solution(),
np.array([1085.3, 1005.8, 1001.3, 1000.1]),
atol=0.5)
return
def test_implicit_heterogeneous_permeability_and_grid_size_solve(self):
self.inputs['reservoir']['permeability'] = [10., 100., 50., 20]
self.inputs['numerical']['delta x'] = [2000., 3000., 1500., 3500]
implicit = TwoDimReservoir(self.inputs)
implicit.solve()
np.testing.assert_allclose(implicit.get_solution(),
np.array([1295.6, 1039.1, 1019.9, 1002.5]),
atol=0.5)
return
def test_explicit_solve(self):
self.inputs['numerical']['solver'] = 'explicit'
explicit = TwoDimReservoir(self.inputs)
explicit.solve()
np.testing.assert_allclose(explicit.get_solution(),
np.array([1689.8, 1222.3, 1032.4, 1000.0]),
atol=0.5)
return
def test_mixed_method_solve_one_step_crank_nicolson(self):
self.inputs['numerical']['solver'] = {'mixed method': {'theta': 0.5}}
mixed = TwoDimReservoir(self.inputs)
mixed.solve_one_step()
np.testing.assert_allclose(mixed.get_solution(),
np.array([1370.4, 1037.8, 1003.8, 1000.4]),
atol=0.5)
return
def test_mixed_method_solve_one_step_explicit(self):
self.inputs['numerical']['solver'] = {'mixed method': {'theta': 1.0}}
mixed_explicit = TwoDimReservoir(self.inputs)
mixed_explicit.solve_one_step()
np.testing.assert_allclose(mixed_explicit.get_solution(),
np.array([1506., 1000., 1000., 1000.004]),
atol=0.5)
return
def test_explicit_solve_one_step(self):
self.inputs['numerical']['solver'] = 'explicit'
explicit = TwoDimReservoir(self.inputs)
explicit.solve_one_step()
np.testing.assert_allclose(explicit.get_solution(),
np.array([1506., 1000., 1000., 1000.004]),
atol=0.5)
return
def test_mixed_method_solve_crank_nicolson(self):
self.inputs['numerical']['solver'] = {'mixed method': {'theta': 0.5}}
mixed = TwoDimReservoir(self.inputs)
mixed.solve()
np.testing.assert_allclose(mixed.get_solution(),
np.array([1642.0, 1196.5, 1043.8, 1009.1]),
atol=0.5)
return
def test_mixed_method_solve_one_step_implicit(self):
self.inputs['numerical']['solver'] = {'mixed method': {'theta': 0.0}}
mixed_implicit = TwoDimReservoir(self.inputs)
mixed_implicit.solve_one_step()
np.testing.assert_allclose(
mixed_implicit.get_solution(),
np.array([1295.1463, 1051.1036, 1008.8921, 1001.7998]),
atol=0.5)
return
def test_is_transmissiblity_matrix_sparse(self):
problem = TwoDimReservoir(self.inputs)
assert scipy.sparse.issparse(problem.T)
return
def compute_transmissibility(self, i, j):
if self.p[i] > self.p[j]:
kr = self.kr[i]
else:
kr = self.kr[j]
return kr * TwoDimReservoir.compute_transmissibility(self, i, j)
def test_implicit_solve_one_step_with_wells_2(self):
self.inputs['wells'] = {
'bhp': {
'locations': [(9000, 9000)],
'values': [800],
'radii': [0.25],
},
'rate': {
'locations': [(5000, 5000)],
'values': [1000],
'radii': [0.25],
}
}
self.inputs['reservoir'] = {
'permeability': 50, #mD
'porosity': 0.2,
'length': 10000, #ft
'height': 10000, #ft
'depth': 20 #ft
}
self.inputs['numerical']['number of grids'] = {'x': 3, 'y': 3}
self.inputs['boundary conditions']['left']['type'] = 'prescribed flux'
self.inputs['boundary conditions']['left']['value'] = 0.0
self.inputs['boundary conditions']['right'][
'type'] = 'prescribed pressure'
self.inputs['boundary conditions']['right']['value'] = 2000.0
implicit = TwoDimReservoir(self.inputs)
implicit.solve_one_step()
np.testing.assert_allclose(implicit.get_solution(),
np.array([
1003.1, 1024.1, 1201.8, 1004.2, 1037.0,
1200.7, 1002.8, 1021.3, 1174.5
]),
atol=0.5)
return
def update_pressure(self):
self.compute_total_transmissibility_matrix()
TwoDimReservoir.solve_one_step(self)
return
