We present an experimental study of pore‐scale flow dynamics of liquid CO2 and water in a two‐dimensional heterogeneous porous micromodel, inspired by the structure of a reservoir rock, at reservoir‐relevant conditions (80 bar, 21°C). The entire process of CO2 infiltration into a water‐saturated micromodel was captured using fluorescence microscopy and the micro‐PIV method, which together reveal complex fluid displacement patterns and abrupt changes in velocity. The CO2 front migrated through the resident water in an intermittent manner, forming dendritic structures, termed fingers, in directions along, normal to, and even opposing the bulk pressure gradient. Such characteristics indicate the dominance of capillary fingering through the micromodel. Velocity burst events, termed Haines jumps, were also captured in the heterogeneous micromodel, during which the local Reynolds number was estimated to be ∼21 in the CO2 phase, exceeding the range of validity of Darcy's law. Furthermore, these drainage events were observed to be cooperative (i.e., across multiple pores simultaneously), with the zone of influence of such events extending beyond tens of pores, confirming, in a quantitative manner, that Haines jumps are nonlocal phenomena. After CO2 completely breaks through the porous section, shear‐induced circulations caused by flowing CO2 were also observed, in agreement with previous studies using a homogeneous porous micromodel. To our knowledge, this study is the first quantitative measurement that incorporates both reservoir‐relevant conditions and rock‐inspired heterogeneity, and thus will be useful for pore‐scale model development and validation.