NOVELTY - The swing adsorption process comprises conducting the feed gas mixture directly to a first adsorption bed in a swing adsorption process unit containing adsorbent beds each having a fluid inlet end and a fluid outlet end, where the first adsorption bed has a first primary adsorption cycle, retrieving a first product stream flow from the fluid outlet end of the first adsorption bed, and fluidly connecting the fluid outlet end of the first adsorption bed with the fluid inlet end of a second adsorption bed in the swing adsorption process unit during a point in the first primary adsorption cycle.    USE - The swing adsorption process is useful for separating contaminant gas components such as carbon dioxide, nitrogen and/or hydrogen sulfide from a feed gas mixture such as methane, where: the swing adsorption process is a rapid cycle pressure swing adsorption process of which a total cycle time is less than 30 seconds, a rapid cycle temperature swing adsorption process of which a total cycle time is less than 200 seconds (all claimed), a temperature swing adsorption, a pressure swing adsorption, a partial pressure swing adsorption, and a rapid cycle partial pressure swing adsorption; and the separated gas is useful for a large number of fuel and chemical applications, power applications such as integrated gasification combined cycle, and for production of hydrocarbons such as gas and oil processing.    ADVANTAGE - The swing adsorption process ensures rapid, large scale, economic and efficient separation of the contaminant gas components from the feed gas mixture without loss of valuable products, and mitigates the amount of product trapped at the end of the adsorption bed.    DETAILED DESCRIPTION - The swing adsorption process comprises conducting the feed gas mixture directly to a first adsorption bed in a swing adsorption process unit containing adsorbent beds each having a fluid inlet end and a fluid outlet end, where the first adsorption bed has a first primary adsorption cycle, retrieving a first product stream flow from the fluid outlet end of the first adsorption bed, fluidly connecting the fluid outlet end of the first adsorption bed with the fluid inlet end of a second adsorption bed in the swing adsorption process unit during a point in the first primary adsorption cycle so that a portion of the first product stream from the fluid outlet end of the first adsorption bed is passed to the fluid inlet end of the second adsorption bed at which time the second adsorption bed is in a first secondary adsorption cycle, retrieving a second product stream flow from the fluid outlet end of the second adsorption bed, fluidly disconnecting the fluid outlet end of the first adsorption bed with the fluid inlet end of the second adsorption bed, and simultaneously conducting the feed gas mixture directly to the second adsorption bed. The first primary adsorption cycle is defined by the period of time from the start of connecting the fluid input end of the first adsorption bed directly to the feed gas mixture to the end of connecting the fluid input end of the first adsorption bed directly to the feed gas mixture. The first secondary adsorption cycle is defined by the period of time from the start of exposing the second adsorption bed to the first product stream from the fluid outlet end of the first adsorption bed to the end of exposing the second adsorption bed to the first product stream from the fluid outlet end of the first adsorption bed. The first adsorption bed has a second primary adsorption cycle defined by the period of time from the start of connecting the fluid input end of the second adsorption bed directly to the feed gas mixture to the end of connecting the fluid input end of the second adsorption bed directly to the feed gas mixture. The first product stream and the second product stream have a lower mole% of the contaminant gas component than the feed gas mixture. The adsorption front moves from the first adsorption bed to the second adsorption bed during the first secondary adsorption cycle and during an overlap of the first primary adsorption cycle and the first secondary adsorption cycle. The step of fluidly connecting the fluid outlet end of the first adsorption bed with the fluid inlet end of a second adsorption bed step starts before breakthrough of the contaminant gas component from the first adsorption bed. The step of fluidly disconnecting the fluid outlet end of the first adsorption bed starts before breakthrough of the contaminant gas component from the second adsorption bed. The feed gas mixture is conducted to the first adsorption bed at a pressure of greater than 1000 psig. The first adsorbent bed is cooled to a temperature of less than 40 degrees C above the temperature of feed gas mixture. The adsorbent bed in the swing adsorption process is a parallel channel contactor.    DESCRIPTION OF DRAWING(S) - The diagram shows a schematic view of an adsorption process arrangement.    Carbon dioxide rich stream (202)    Exhaust (204, 206, 208)    Purge stream (210)    Adsorption bed (212)    Compressed and blended purge outlet. (216)