Method and system for estimating a depth pressure and/or permeability profile of a geological formation having a well
A method for estimating a depth pressure and/or permeability profile of a geological formation having a well extending between a first end and a second end includes equipping the well with an inner tube defining an inner space and an annular space; performing a first well closing phase by injecting a second fluid having a higher viscosity than a first fluid in the well while extracting under a first constant pressure value; performing a second well closing phase by injecting the second fluid while extracting the first fluid under a second constant pressure value, different from the first constant pressure value; and estimating the depth pressure and/or permeability profile of the geological formation based on measurements performed during the first well closing phase and the second well closing phase.
1. An estimating method for estimating a depth pressure and/or permeability profile of a geological formation, wherein a well extends in the geological formation between a first end and a second end, said method comprising:
equipping the well with an inner tube which extends between the first end of the well and towards the second end of the well, wherein said inner tube defines an inner space and an annular space in fluid communication towards the second end of the well,
performing, when the annular space of the well is filled with a first fluid, a first well closing phase by injecting, into the inner space at the first end, a second fluid having a higher viscosity than the first fluid while extracting, from the annular space at the first end, the first fluid under a first constant pressure value in the annular space at the first end, wherein the first well closing phase comprises measuring a first temporal injection flowrate profile of the second fluid, a first temporal extraction flowrate profile of the first fluid, and a first temporal pressure profile in the inner space at the first end;
performing, when the annular space of the well is filled with the first fluid, a second well closing phase by injecting, into the inner space at the first end, the second fluid while extracting, from the annular space at the first end, the first fluid under a second constant pressure value in the annular space at the first end, wherein the second constant pressure value is different from the first constant pressure value, wherein the second well closing phase comprises measuring a second temporal injection flowrate profile of the second fluid, a second temporal extraction flowrate profile of the first fluid, and a second temporal pressure profile in the inner space at the first end; and
estimating the depth pressure and/or permeability profile of the geological formation based on the measurements performed during the first well closing phase and the second well closing phase.
2. The estimating method according to claim 1 , wherein; the geological formation is decomposed in a plurality of layers, and estimating the depth pressure and/or permeability profile comprises, for each of the first well closing phase and the second well closing phase:
determining a temporal evolution of a position in the well of an interface between the first fluid and the second fluid;
determining a variation of injectivity for each layer of the geological formation;
determining a temporal evolution of a pressure in the well along the layers of the geological formation;
determining a reference well pressure value for each layer of the geological formation based on the temporal evolution of the well pressure along the layers;
wherein a pressure value and/or a permeability value of the geological formation is determined for each layer of the geological formation, based on the variation of injectivity and on the reference well pressure value for each layer of the geological formation.
3. The estimating method according to claim 2 , comprising solving a non-linear system of two equations for each layer of the geological formation.
4. The estimating method according to claim 1 , wherein the first constant pressure value P 1 and the second constant pressure value P 2 are such that:
max( P 1 ,P 2 )/min( P 1 ,P 2 )>α
wherein α is higher than or equal to 1.2.
5. The estimating method according to claim 1 , wherein the first fluid has the same density as the second fluid.
6. The estimating method according to claim 1 , wherein the second fluid is a gel and/or the first fluid is water or brine.
7. The estimating method according to claim 1 , comprising performing at least a third well closing phase under a third constant pressure value in the annular space at the first end of the well, wherein said third constant pressure value is different from the first and second constant pressure values, wherein the depth pressure and/or permeability profile of the geological formation is estimated based on the measurements performed during the first, second, and third well closing phases.
8. A non-transitory computer-readable storage medium comprising code instructions which, when executed by a processor, cause said processor to carry out the estimating step according to claim 1 , whereby the depth pressure and/or permeability profile of the geological formation is estimated based on the measurements performed during the first well closing phase and the second well closing phase.
9. System A system for estimating a depth pressure and/or permeability profile of a geological formation, wherein a well extends in the geological formation between a first end and a second end, said well is equipped with an inner tube which extends between the first end of the well and towards the second end of the well, and said tube defines an inner space and an annular space in fluid communication towards the second end of the well, wherein the system comprises:
means configured to perform, when the annular space of the well is filled with a first fluid, a first well closing phase by injecting, into the inner space at the first end, a second fluid having a higher viscosity than the first fluid while extracting, from the annular space at the first end, the first fluid under a first constant pressure value in the annular space at the first end, wherein the first well closing phase comprises measuring a first temporal injection flowrate profile of the second fluid, a first temporal extraction flowrate profile of the first fluid, and a first temporal pressure profile in the inner space at the first end;
means configured to perform, when the annular space of the well is filled with the first fluid, a second well closing phase by injecting, into the inner space at the first end, the second fluid while extracting, from the annular space at the first end, the first fluid under a second constant pressure value in the annular space at the first end, wherein the second constant pressure value is different from the first constant pressure value, wherein the second well closing phase comprises measuring a second temporal injection flowrate profile of the second fluid, a second temporal extraction flowrate profile of the first fluid, and a second temporal pressure profile in the inner space at the first end; and
means configured to estimate the depth pressure and/or permeability profile of the geological formation based on the measurements performed during the first well closing phase and the second well closing phase.
10. The system according to claim 9 , wherein the well comprises a cased portion at the first end and a borehole portion towards the second end.
11. The system according to claim 9 , wherein the geological formation is decomposed in a plurality of layers, and the system is further configured to estimate the depth pressure and/or permeability profile by, for each of the first well closing phase and the second well closing phase:
determining a temporal evolution of a position in the well of an interface between the first fluid and the second fluid,
determining a variation of injectivity for each layer of the geological formation,
determining a temporal evolution of a pressure in the well along the layers of the geological formation,
determining a reference well pressure value for each layer of the geological formation based on the temporal evolution of the well pressure along the layers,
and wherein the system is configured to determine a pressure value and/or a permeability value of the geological formation for each layer of the geological formation, based on the variation of injectivity and on the reference well pressure value for each layer of the geological formation.
12. The system according to claim 11 , further configured to solve a non-linear system of two equations for each layer of the geological formation.
13. The system according to claim 9 , wherein the first constant pressure value P 1 and the second constant pressure value P 2 are such that:
max( P 1 ,P 2 )/min( P 1 ,P 2 )>α
wherein α is higher than or equal to 1.2.
14. The system according to claim 9 , wherein the first fluid has the same density as the second fluid.
15. The system according to claim 9 , wherein the second fluid is a gel and/or the first fluid is water or brine.
16. The system according to claim 9 , further configured to perform at least a third well closing phase under a third constant pressure value in the annular space at the first end of the well, wherein said third constant pressure value is different from the first and second constant pressure values, wherein the depth pressure and/or permeability profile of the geological formation is estimated based on the measurements performed during the first, second, and third well closing phases.