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A casing string is augmented with one or more variable flow resistance devices or “vibrating tools” to facilitate advancement of the casing and distribution of the cement in the annulus once the casing is properly positioned. The method includes vibrating the casing string while advancing the casing

A casing string is augmented with one or more variable flow resistance devices or “vibrating tools” to facilitate advancement of the casing and distribution of the cement in the annulus once the casing is properly positioned. The method includes vibrating the casing string while advancing the casing down the wellbore or while the cement is pumped into the annulus, or both. After the cementing operation is completed, the devices may be drilled out to open the casing string for further operations. The casing string assembly may include a vibrating tool at the end in place of a conventional float shoe or float collar. Multiple vibrating tools can be employed in the casing string, and they may be combined with conventional float shoes and collars. Additionally, vibrating tools in the form of plugs can be pumped down and landed inside the casing string.

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1. A method for finishing a wellbore comprising: pumping fluid through a first casing string assembly disposed in the wellbore, wherein the first casing string assembly includes a casing string and at least one vibrating tool, and wherein the fluid is pumped at a rate to operate the at least one vib

1. A method for finishing a wellbore comprising: pumping fluid through a first casing string assembly disposed in the wellbore, wherein the first casing string assembly includes a casing string and at least one vibrating tool, and wherein the fluid is pumped at a rate to operate the at least one vibrating tool to vibrate the first casing string assembly;wherein the vibrating tool comprises a vortex chamber and a switch to alternate the direction of flow in the vortex chamber between clockwise and counterclockwise. 2. The method of claim 1 wherein the fluid is circulating fluid and wherein the method further comprises: advancing the casing string while the fluid pumping step is performed until the target location for the first casing string assembly is reached. 3. The method of claim 2 further comprising: after reaching the target location, cementing the annulus around the first casing string assembly, wherein the cementing step includes pumping cement through the vibrating tool to vibrate the first casing string assembly. 4. The method of claim 3 further comprising: after cementing the annulus, drilling out the at least one vibratory tool. 5. The method of claim 4 further comprising: after drilling out the at least one vibratory tool, extending the wellbore. 6. The method of claim 4 further comprising: after extending the wellbore, deploying a second casing string assembly into the wellbore; andpumping fluid through the second casing string assembly while advancing the second casing string assembly toward a second target location, wherein the second casing string assembly includes a casing string and at least one vibrating tool, and wherein the fluid is pumped at a rate to operate the at least one vibrating tool to vibrate the second casing string assembly. 7. The method of claim 6 further comprising repeating the steps of cementing the annulus and drilling out the vibratory tool. 8. The method of claim 4 further comprising: after drilling out the at least one vibratory tool, extending the wellbore;after extending the wellbore, repeating the advancing step, the plug deploying, the cementing step, the tool drilling out step, and the wellbore extension step with a second and subsequent casing string assemblies as needed until the wellbore is completely cased. 9. The method of claim 1 wherein the vibratory tool is a collar installed in the first casing string assembly. 10. The method of claim 1 wherein the vibratory tool is a shoe installed on the end of the first casing string assembly. 11. The method of claim 1 wherein the vibratory tool is a plug landed inside the first casing string assembly. 12. The method of claim 1 wherein the fluid is a circulating fluid. 13. The method of claim 1 wherein the fluid is cement. 14. The method of claim 1 wherein the at least one vibratory tool comprises a plurality of vibratory tools. 15. The method of claim 1 wherein the first casing string assembly further comprises a float shoe or a float collar. 16. The method of claim 1 wherein the fluid is circulating fluid and wherein the method further comprises: advancing the first casing string assembly while the fluid pumping step is performed;adding a vibrating tool to the at least one vibrating tool in the first casing sting assembly by deploying a vibrating plug into the first casing string assembly;repeating the advancing step and the plug deploying steps as needed until the first casing string assembly is advanced to the target location in the wellbore. 17. The method of claim 16 further comprising: after reaching the target location, cementing the annulus around the first casing string assembly, wherein the cementing step includes pumping cement through the vibrating tool to vibrate the first casing string assembly. 18. The method of claim 17 further comprising: after cementing the annulus, drilling out the at least one vibratory tool. 19. The method of claim 1 wherein the switch is a fluidic switch. 20. The method of claim 19 wherein the fluidic switch is a Y-shaped bi-stable fluidic switch. 21. The method of claim 1 wherein the switch comprises control ports for alternating flow and wherein the vibrating tool further includes a feedback control circuit that transmits fluid alternately from clockwise and counterclockwise vortices in the vortex chamber to the control ports to alternate flow. 22. A method for finishing a wellbore comprising: pumping fluid through a first casing string assembly disposed in the wellbore, wherein the first casing string assembly includes a casing string and at least one vibrating tool, and wherein the fluid is pumped at a rate to operate the at least one vibrating tool to vibrate the first casing string assembly;wherein the vibrating tool comprises a variable flow resistance device that comprises a Y-shaped bi-stable fluidic switch, a vortex chamber, and a feedback control circuit, wherein the switch outputs fluid to the vortex chamber alternately along two diverging paths, both of which are tangential to the vortex chamber to produce alternately clockwise and counterclockwise vortices, and wherein the feedback control circuit transmits fluid alternately from clockwise and counterclockwise vortices to the control ports of the fluidic switch to alternate flow. 23. A method for finishing a wellbore comprising: pumping fluid through a first casing string assembly disposed in the wellbore, wherein the first casing string assembly includes a casing string and at least one vibrating tool, and wherein the fluid is pumped at a rate to operate the at least one vibrating tool to vibrate the first casing string assembly;wherein the vibrating tool comprises a variable flow resistance device that comprises: an inlet and an outlet;a jet chamber having first and second control ports;a nozzle to direct fluid from the inlet into the jet chamber;first and second input channels diverging from the jet chamber;a vortex chamber continuous with the outlet and having first and second inlet openings and first and second feedback outlets, wherein the first and second inlet openings of the vortex chamber are positioned to direct fluid in opposite, tangential paths into the vortex chamber so that fluid entering the first input inlet opening produces a clockwise vortex and fluid entering the second inlet opening produces a counterclockwise vortex, and wherein the first and second feedback outlets of the vortex chamber are positioned to direct fluid in opposite, tangential paths out of the vortex chamber, whereby fluid in a clockwise vortex will tend to exit through the second feedback outlet and fluid in a counterclockwise vortex will tend to exit through the first feedback outlet;wherein the first and second inlet openings of the vortex chamber are continuous with the first and second input channels and wherein each of the first and second input channels defines a straight flow path from the jet chamber to the first and second inlet openings, respectively, of the vortex chamber;a first feedback channel extending from the first feedback outlet of the vortex chamber to the first control port in the jet chamber; anda second feedback channel extending from the second feedback outlet of the vortex chamber to the second control port in the jet chamber;whereby fluid from a counter-clockwise vortex passing through the first feedback channel to the first control port will tend to switch fluid flow from the second input channel to the first input channel, and fluid from a clockwise vortex passing through the second feedback channel to the second control port will tend to switch fluid flow from the first input channel to the second input channel.