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 of the at least one vibratory roller, wherein in association with the at least one vibratory roller an acceleration detection arrangement (30, 32) 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.