diff --git a/simpeg/directives/_save_geoh5.py b/simpeg/directives/_save_geoh5.py
index 4c4f43b80d..c9e3cdbbff 100644
--- a/simpeg/directives/_save_geoh5.py
+++ b/simpeg/directives/_save_geoh5.py
@@ -316,7 +316,8 @@ def get_values(self, values: list[np.ndarray] | None):
 
 class SaveSensitivityGeoH5(SaveArrayGeoH5):
     """
-    Save the model at the current iteration to a geoh5 file.
+    Save the approximate sensitivities (JtJdiag) at the current
+    iteration to a geoh5 file.
     """
 
     _attribute_type = "sensitivities"
@@ -337,7 +338,7 @@ def get_values(self, values: list[np.ndarray] | None):
 
 class SaveDataGeoH5(SaveArrayGeoH5):
     """
-    Save the model at the current iteration to a geoh5 file.
+    Save the predicted data at the current iteration to a geoh5 file.
     """
 
     _attribute_type = "predicted"
@@ -384,22 +385,28 @@ def joint_index(self, value: list[int] | None):
 
 
 class SaveLogFilesGeoH5(BaseSaveGeoH5):
+    """
+    Save iteration metrics to log files and attach them to the geoh5 file as bytes.
+
+    :param h5_object: The geoh5 object to which the log files will be attached.
+    :param base_name: The base name of the log files.
+    """
+
     def __init__(
         self,
         h5_object,
+        base_name,
         **kwargs,
     ):
+        self.base_name = base_name
         super().__init__(h5_object, **kwargs)
 
     def write(self, iteration: int, **_):
         dirpath = Path(self._workspace.h5file).parent
-        filepath = dirpath / "SimPEG.out"
+        filepath = dirpath / f"{self.base_name}.out"
 
-        if iteration == 0:
-            with open(filepath, "w", encoding="utf-8") as f:
-                f.write("iteration beta phi_d phi_m time\n")
         log = []
-        with open(dirpath / "SimPEG.log", "r", encoding="utf-8") as file:
+        with open(dirpath / f"{self.base_name}.log", "r", encoding="utf-8") as file:
             iteration = 0
             for line in file:
                 val = re.findall(r"[+-]?(?:0|[1-9]\d*)(?:\.\d*)?(?:[eE][+-]?\d+)", line)
@@ -408,6 +415,10 @@ def write(self, iteration: int, **_):
                     iteration += 1
 
         if len(log) > 0:
+            if not filepath.exists():
+                with open(filepath, "w", encoding="utf-8") as f:
+                    f.write("iteration beta phi_d phi_m time\n")
+
             with open(filepath, "a", encoding="utf-8") as file:
                 date_time = datetime.now().strftime("%b-%d-%Y:%H:%M:%S")
 
@@ -427,11 +438,11 @@ def save_log(self):
             h5_object = w_s.get_entity(self.h5_object)[0]
 
             for file in [
-                "SimPEG.out",
-                "SimPEG.log",
-                "ChiFactors.log",
+                ".out",
+                ".log",
+                ".chi",
             ]:
-                filepath = dirpath / file
+                filepath = dirpath / f"{self.base_name}{file}"
 
                 if not filepath.is_file():
                     continue
@@ -439,7 +450,7 @@ def save_log(self):
                 with open(filepath, "rb") as f:
                     raw_file = f.read()
 
-                file_entity = h5_object.get_entity(file)[0]
+                file_entity = h5_object.get_entity(f"{self.base_name}{file}")[0]
                 if file_entity is None:
                     file_entity = h5_object.add_file(filepath)