The present invention provides methods and apparatus for separating and/or analyzing fluids of interest. According to principles of the present invention, fluid analysis is accomplished with microfluidic devices and may be reported in real-time or near real-time in a subterranean environment. In addition or alternative to oilfield applications, the principles of the present invention contemplate separation in a laboratory or other environment for biological sample separation and analytical chemistry applications. The present invention is capable of separating liquid-liquid mixtures or emulsions in a microfluidic device without fouling.