A method for providing information related to the compaction state of a soil when carrying out a compaction process with a soil compactor , wherein the soil compactor comprises at least one vibratory roller with an imbalance arrangement rotating about a roller rotation axis (W) of the at least one vibratory roller , wherein in association with the at least one vibratory roller an acceleration detection arrangement is provided for detecting a vertical acceleration (a z ) of the vibratory roller substantially orthogonal to the soil to be compacted and a horizontal acceleration (a x ) of the at least one vibratory roller substantially parallel to the soil to be compacted, comprising the operations: a) detecting the vertical acceleration (a z ) and the horizontal acceleration (a x ) of the at least one vibratory roller when the soil compactor moves over the soil to be compacted, b) determining a measurement relationship (Z M ) between a ground contact force (F b ) and a deflection (s w ) of the vibratory roller for at least one vibration cycle using the vertical acceleration (a x ) and horizontal acceleration detected in operation a), c) determining a simulation relationship (Zs) between the ground contact force (F b ) and the deflection (s w ) for at least one vibration cycle using a ground model taking into account at least one simulation parameter, d) comparing the simulation relationship (Z S ) determined in operation c) for at least one vibration cycle with the measurement relationship (Z M ) determined in operation b) for at least one vibration cycle, e) determining that a default value of the at least one simulation parameter taken into account in the ground model substantially represents a corresponding soil parameter of the soil to be compacted, if the comparison carried out at operation d) shows that the simulation relationship (Z S ) determined for at least one vibration cycle substantially corresponds to the measurement relationship (Z M ) determined for at least one vibration cycle. a) detecting the vertical acceleration (a z ) and the horizontal acceleration (a x ) of the at least one vibratory roller when the soil compactor moves over the soil to be compacted, b) determining a measurement relationship (Z M ) between a ground contact force (F b ) and a deflection (s w ) of the vibratory roller for at least one vibration cycle using the vertical acceleration (a x ) and horizontal acceleration detected in operation a), c) determining a simulation relationship (Zs) between the ground contact force (F b ) and the deflection (s w ) for at least one vibration cycle using a ground model taking into account at least one simulation parameter, d) comparing the simulation relationship (Z S ) determined in operation c) for at least one vibration cycle with the measurement relationship (Z M ) determined in operation b) for at least one vibration cycle, e) determining that a default value of the at least one simulation parameter taken into account in the ground model substantially represents a corresponding soil parameter of the soil to be compacted, if the comparison carried out at operation d) shows that the simulation relationship (Z S ) determined for at least one vibration cycle substantially corresponds to the measurement relationship (Z M ) determined for at least one vibration cycle. <EOS>