diff --git a/simpeg/directives/_save_geoh5.py b/simpeg/directives/_save_geoh5.py
index 0096bc6b7d..4cd3cb8aa2 100644
--- a/simpeg/directives/_save_geoh5.py
+++ b/simpeg/directives/_save_geoh5.py
@@ -77,7 +77,7 @@ def get_names(
             base_name += f"_{component}"
 
         channel_name = base_name
-        if channel:
+        if len(channel) > 0:
             channel_name += f"_{channel}"
 
         if self.label is not None:
@@ -86,6 +86,17 @@ def get_names(
 
         return channel_name, base_name
 
+    @staticmethod
+    def _channel_label(channel: int, label: str | float | None) -> str:
+        """
+        Format the channel label.
+        """
+        if isinstance(label, str) and len(label) > 1:
+            return label
+        elif isinstance(label, float):
+            return f"[{channel}]"
+        return ""
+
     @abstractmethod
     def write(self, iteration: int, values: list[np.ndarray] = None):  # flake8: noqa
         """
@@ -263,8 +274,9 @@ def write(self, iteration: int, values: list[np.ndarray] = None):  # flake8: noq
                     if self.sorting is not None:
                         values = values[self.sorting]
 
+                    label = self._channel_label(ii, channel)
                     channel_name, base_name = self.get_names(
-                        component, channel, iteration
+                        component, label, iteration
                     )
 
                     data = h5_object.add_data(
@@ -278,9 +290,7 @@ def write(self, iteration: int, values: list[np.ndarray] = None):  # flake8: noq
                     # Re-assign the data type
                     if channel not in self.data_type[component].keys():
                         self.data_type[component][channel] = data.entity_type
-                        type_name = f"{self._attribute_type}_{component}"
-                        if channel:
-                            type_name += f"_{channel}"
+                        type_name = f"{self._attribute_type}_{component}" + f"_{label}"
                         data.entity_type.name = type_name
                     else:
                         data.entity_type = w_s.find_type(
@@ -443,10 +453,10 @@ def write(self, iteration: int, **_):
 
             for component in self.components:
                 properties = []
-                for channel in self.channels:
-
+                for ii, channel in enumerate(self.channels):
+                    label = self._channel_label(ii, channel)
                     channel_name, base_name = self.get_names(
-                        component, channel, iteration
+                        component, label, iteration
                     )
                     children = [
                         child
@@ -490,7 +500,7 @@ def __init__(
         super().__init__(h5_object, **kwargs)
 
     def get_names(
-        self, component: str, channel: str, iteration: int
+        self, component: str, channel: int | None, iteration: int
     ) -> tuple[str, str]:
         """
         Format the data and property_group name.
@@ -545,7 +555,7 @@ def write(self, iteration: int, values: list[np.ndarray] | None = None):
         """
         petro_model = self.get_values(values)
         petro_model = self.apply_transformations(petro_model).flatten()
-        channel_name, base_name = self.get_names("petrophysics", "", iteration)
+        channel_name, _ = self.get_names("petrophysics", "", iteration)
         with fetch_active_workspace(self._geoh5, mode="r+") as w_s:
             h5_object = w_s.get_entity(self.h5_object)[0]
             data = h5_object.add_data(