Table 3 Different model evaluation results comparison for different reservoir parameters (Well A2).

Target parameter	Methods	RMSE	MSE	R²	Adjusted R²
PHIF	Our Proposed	0.052	0.003	0.975	0.925
	Transformer	0.127	0.016	0.942	0.826
	TCN	0.268	0.072	0.884	0.739
	LSTM	0.319	0.102	0.834	0.664
	GRU	0.429	0.184	0.808	0.629
VSH	Our Proposed	0.050	0.002	0.979	0.937
	Transformer	0.124	0.015	0.947	0.808
	TCN	0.259	0.067	0.889	0.734
	LSTM	0.309	0.095	0.843	0.661
	GRU	0.417	0.174	0.817	0.612
SW	Our Proposed	0.061	0.004	0.973	0.919
	Transformer	0.132	0.017	0.94	0.82
	TCN	0.267	0.071	0.881	0.74
	LSTM	0.317	0.1	0.831	0.663
	GRU	0.424	0.179	0.811	0.609

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