Quantum computation holds promise for transforming problems in the porous-media, oil and gas (O&G) industry by tackling complex, high-dimensional simulations and optimization tasks that are intractable for classical methods alone. Quantum algorithms have been developed and benchmarked in a range of problems, including reservoir modeling, fluid flow in porous media, inverse problems, and uncertainty-aware risk assessment. In this seminar, we provide a brief review of quantum computation applied to some of these problems and present the current research from the Quantum Technologies Group at the Brazilian Center for Research in Physics (CBPF), with emphasis on wave propagation and new materials for carbon capture. A brief overview on the current status of quantum computers and future perspectives will be made.