diff --git a/django/contrib/gis/db/backends/postgis/operations.py b/django/contrib/gis/db/backends/postgis/operations.py
index b1a9e31529..5affcf9a18 100644
--- a/django/contrib/gis/db/backends/postgis/operations.py
+++ b/django/contrib/gis/db/backends/postgis/operations.py
@@ -233,8 +233,6 @@ class PostGISOperations(DatabaseOperations, BaseSpatialOperations):
                     })
             self.geography_operators = {
                 'bboverlaps' : PostGISOperator('&&'),
-                'exact' : PostGISOperator('~='),
-                'same_as' : PostGISOperator('~='),
                 }
 
         # Creating a dictionary lookup of all GIS terms for PostGIS.
diff --git a/django/contrib/gis/tests/geogapp/tests.py b/django/contrib/gis/tests/geogapp/tests.py
index 7be5193103..3dea930afd 100644
--- a/django/contrib/gis/tests/geogapp/tests.py
+++ b/django/contrib/gis/tests/geogapp/tests.py
@@ -44,6 +44,10 @@ class GeographyTest(TestCase):
         # `@` operator not available.
         self.assertRaises(ValueError, City.objects.filter(point__contained=z.poly).count)
 
+        # Regression test for #14060, `~=` was never really implemented for PostGIS.
+        htown = City.objects.get(name='Houston')
+        self.assertRaises(ValueError, City.objects.get, point__exact=htown.point)
+
     def test05_geography_layermapping(self):
         "Testing LayerMapping support on models with geography fields."
         # There is a similar test in `layermap` that uses the same data set,