A modular, compact, mobile, dewatering and liquid-liquid separation and filtration system. The system processes incoming influents of slurries, solids and liquids at a high speed of operation and in large volumes. System is capable of being modularly scaled, allowing for a continuous steady state operation accommodating any slurry flow rate in a synchronous dynamic equilibrium process. Components and modules integrated into the system include a dynamic filtration clarifier 101 (DFC), a nested-filter dewatering cell 115 (NDC) and/or a compression filter press 125 (CFP). The DFC performs the primary dewatering phase of separating the primary water from the solids creating sludge. The NDC further breaks apart the solids of the sludge, removing interstitial water in a secondary dewatering phase, further lowering the moisture content of the sludge, while the CFP removes the tertiary water from the remaining solid particles by pressing the particles into a solid cake.