Fibrous peat soil is very soft soil that a very low bearing capacity, with a large uneven settlement that occurs over a long period. Furthermore, several techniques were used to improve the physical and engineering characteristics of this soil, one of which is stabilizing with lime CaCO3 and fly ash. The use of CaCO3 lime and fly ash as stabilizing agents have often been used with good results. However, the research conducted has not yet modeled the real conditions in the field where the stabilized peat area is only in a certain area. Based on this, this study was conducted to determine the effect of water filtration on the parameters of peat soil stabilized by 10% admixture. This research laboratory model is in accordance with the real conditions in the field. The stabilized peat was placed among the initial peat, having water contents that were kept constant following the initial conditions. The physical and engineering properties of the stabilized soil were evaluated between 30 and 180 days. The test results showed that the physical and engineering properties improved if compared to the initial conditions, especially after the stabilization had lasted 90 days and above. Furthermore, changes in the stabilized soil's characteristics were influenced by the stabilization area's width where the peat with a 2L-width stabilization area gave better values than the L-width area. Lastly, the water conditions in the peat pore significantly influenced the formation of CaCO3 gel which filled the pores and wrapped the peat fibers.