Flapper valve for single trip retrieval of packer tools

A method of providing for a single trip removal of packer tools by providing a flapper valve in the upper packer tools which opens when pressure below the tool exceeds the pressure above the tool to allow the tools to be released and allowing flow up the center of the tubing. Additionally, the retrieval tool seals with the stinger tool during removal to allow flow downwardly around the released packer down to the next lower packer and up through the released packer to work only on the next lower packer. The method also contemplates that increased flow circulation will allow forced flow to clear the next lower stinger from sand and other debris to increase the chance of a successful mating of the retrieval tool to the stinger during removal.